Chapter 6 - Chemical Composition
Resumo
TLDRThis video provides a comprehensive overview of Chapter 6 from the book 'Introductory Chemistry,' which delves into the chemical composition. Key learning objectives include understanding the conversion between moles and atoms, grams and moles, and applying mass percent composition as a conversion factor. The content also highlights sodium's role in diet and the importance of monitoring its intake due to health concerns. It discusses the environmental impact of chlorofluorocarbons (CFCs) and their effect on ozone depletion, emphasizing the ban on CFCs to protect the atmosphere. Additionally, the video covers the methods to determine empirical formulas from experimental data and compute molecular formulas from empirical data based on molecular mass. The concept of the mole is thoroughly explained, including Avogadro's number and its application in quantifying atoms. By the end, learners should be able to apply these concepts to real-world questions related to chemical compositions and conversions, enhancing their grasp of chemistry fundamentals.
Conclusões
- 🔢 Understand the concept of 'mole' and its application in chemistry calculations.
- ⚖️ Master the conversion between moles, grams, and number of atoms.
- 🧮 Utilize Avogadro's number to convert between moles and particles.
- 🍽️ Recognize sodium's role in health and dietary guidelines.
- 🌎 Acknowledge the impact of CFCs on the ozone layer and environment.
- 📊 Calculate empirical and molecular formulas from experimental data.
- ♻️ Use mass percent composition in quantitative analysis.
- ⚛️ Grasp the relationship between chemical formulas and molar masses.
- 🌐 Appreciate the conversion factors from chemical formulas to determine compositions.
- 🔍 Evaluate empirical data to derive chemical compositions.
Linha do tempo
- 00:00:00 - 00:05:00
Chapter six of the book "Introductory Chemistry" focuses on chemical composition, covering conversions between moles, atoms, grams, and molecules. Key skills include using mass percent composition and determining empirical and molecular formulas. Sodium's dietary importance is highlighted with FDA recommendations.
- 00:05:00 - 00:10:00
The calculation of constituent elements in compounds requires knowledge of atomic and formula masses; for example, the mass of sodium versus sodium chloride. Examples illustrate why it's practical to use grams instead of number of atoms in everyday situations like buying nails.
- 00:10:00 - 00:15:00
Using a solution map, conversion from pounds to dozens or nails is explained. Conversion factors are determined by relationships like "one dozen weighs 50 pounds." Emphasizing unit cancellation, steps are shown to calculate everything from pounds to number of nails.
- 00:15:00 - 00:20:00
The mole is introduced as a count of 6.022 * 10^23 particles, similar to a 'dozen', but much larger to encompass atomic scales. Its historical context ties to Avogadro's number, and its size is linked to reasonable quantities like a mole of helium in balloons or copper in pennies.
- 00:20:00 - 00:25:00
Converting between moles and atoms uses Avogadro's number, while converting moles to atoms requires reversing the conversion process. Examples include calculating atoms from moles or vice versa, demonstrating usage of Avogadro's number as a conversion factor.
- 00:25:00 - 00:30:00
Discussion on atomic and molar mass includes conversion from grams to moles using atomic mass and highlights differences in weights, drawing comparisons with dozen groups of different-sized animals. Examples illustrate this in a step-by-step conversion process.
- 00:30:00 - 00:35:00
More examples show converting grams to moles and atoms, emphasizing solution maps and conversion factors between mass and atoms. Aluminum and compound formulas are used to illustrate methods, including using the periodic table for molar mass calculations.
- 00:35:00 - 00:40:00
Transitioning to molecules in compounds, the text explains calculating the mass from moles using molar mass, tying into chemical formula-derived conversion factors. Practical examples such as determining mass percent in compounds like nitrogen oxide are demonstrated.
- 00:40:00 - 00:45:00
From chemical formulas, conversion factors are used to find moles in constituent elements. Practical examples involve calcium carbonate converting to moles of oxygen. Further illustration includes calculating mass from moles using sodium chloride as a case study.
- 00:45:00 - 00:50:00
Chemical composition and CFCs are discussed regarding environmental impact, especially ozone layer depletion. Mass percent composition of compounds serves as conversion factors in practical health-related examples like sodium intake from salt matching FDA guidelines.
- 00:50:00 - 00:55:00
Mass percent composition, like for sodium in sodium chloride, is explained with examples of calculating intake limits. Calculations link compound composition to real-world dietary restrictions, e.g., converting sodium intake recommendations to salt consumption.
- 00:55:00 - 01:00:00
Empirical formulas, derived from experimentation, provide element ratios in compounds, sometimes matching molecular formulas. Methodologies for deriving empirical formulas from experimental data, like water breakdown, involve converting mass to moles and creating pseudoformulas.
- 01:00:00 - 01:09:45
Chapter review emphasizes mole concepts, chemical formulas, and deriving empirical/molecular formulas from lab data. Understanding mole as a counting unit, conversion between grams and moles, and leveraging chemical formulas for compositions are key learnings.
Mapa mental
Perguntas frequentes
What is a mole in chemistry?
A mole is a unit that represents 6.022 x 10^23 particles of a substance, including atoms, molecules, or ions.
What is the relationship between moles and grams?
The molar mass, which is the mass of one mole of an element or compound, relates moles to grams. One mole of an element's mass in grams is equal to its atomic mass.
How can you calculate the number of moles from grams?
To calculate the number of moles from grams, divide the mass of the substance by its molar mass.
What is Avogadro's number?
Avogadro's number, 6.022 x 10^23, is the number of atoms, molecules, or particles in one mole of a substance.
How do you find the empirical formula from mass percent composition?
Convert the mass of each element to moles, write a pseudoformula using the mole ratios, and then divide by the smallest number of moles to obtain whole-number subscripts for the empirical formula.
What is the difference between empirical and molecular formulas?
The empirical formula shows the simplest whole-number ratio of atoms in a compound, whereas the molecular formula shows the actual number of atoms in one molecule of the compound.
What is the impact of CFCs on the environment?
CFCs release chlorine atoms that destroy the ozone layer, which protects Earth from harmful ultraviolet radiation.
How does sodium impact health?
Sodium is essential for fluid regulation in the body but consuming too much can lead to high blood pressure.
What is the molar mass?
Molar mass is the mass of one mole of a substance and it is expressed in grams per mole.
What does the chemical formula indicate?
A chemical formula indicates the types and relative numbers of atoms that constitute a compound.
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- 00:00:01[Music]
- 00:00:09here we're going to discuss chapter six
- 00:00:11of the book introductory chemistry this
- 00:00:14chapter is named the chemical
- 00:00:17composition by the end of this chapter
- 00:00:19you will be able to convert between
- 00:00:21moles and the number of
- 00:00:24atoms also to convert between grams and
- 00:00:28moles
- 00:00:30conversion between grams and the number
- 00:00:33of atoms or
- 00:00:35molecules also you'll be able to convert
- 00:00:38between moles of a compound and mole of
- 00:00:41a constituent
- 00:00:43element as a same way we're going to be
- 00:00:45able to convert between grams of a
- 00:00:48compound and grams of a constituent
- 00:00:53element you will be able to use the mass
- 00:00:56percent composition as a conversion
- 00:00:58factor the DET the mass percent
- 00:01:01composition from a chemical formula also
- 00:01:04you will be able to determine the an
- 00:01:06empirical formula from experimental data
- 00:01:10and finally you will be able to uh to
- 00:01:13calculate a molecular formula from an
- 00:01:15empirical formula and the molar
- 00:01:21mass so sodium is an important dietary
- 00:01:25mineral that we eat in our food
- 00:01:28primarily as sodium chloride also known
- 00:01:31as a table
- 00:01:32salt sodium is involved in the
- 00:01:35regulation of body fluids and eating too
- 00:01:38much of it can lead to high blood
- 00:01:42pressure so that's why it's really
- 00:01:44important to control the amount of how
- 00:01:47much sodium we eat because it is
- 00:01:50necessarily to to our work to to our
- 00:01:53body to work properly but also could be
- 00:01:56a little bit detrimental if we ate too
- 00:01:59much
- 00:02:01so the FDA has some recommendations
- 00:02:04about how much sodium you can eat and
- 00:02:07you basically can eat 2.4 grams or 24 um
- 00:02:11100 milligrams of sodium per
- 00:02:14day the mass of sodium that we eat is
- 00:02:18not the same as the mass of sodium
- 00:02:19chloride that we eat how many grams of
- 00:02:23sodium chloride we can consume and still
- 00:02:25stay below the FDA recommendation for
- 00:02:28sodium
- 00:02:31the chemical composition of sodium
- 00:02:32chloride is given by this formula na na
- 00:02:36for sodium and cl for
- 00:02:39chloride so as we can see there there is
- 00:02:42one sodium ion to every chloride ion so
- 00:02:47there a one to one that's why you have
- 00:02:49here uh you don't put it but you assume
- 00:02:52that there's a one and also here is a
- 00:02:54one since the masses of sodium and
- 00:02:57chlorine are different the relationship
- 00:03:00between the mass of sodium and the mass
- 00:03:02of sodium chloride is not clear from the
- 00:03:05chemical formula alone that's why we
- 00:03:08need to calculate the amount of a
- 00:03:10constituent element in a given amount of
- 00:03:15a
- 00:03:17compound the information in a chemical
- 00:03:19formula along with an atomic and formula
- 00:03:21masses can be used to calculate the
- 00:03:24amount of a constituent element in a
- 00:03:26compound so for example how much iron is
- 00:03:29an is in a given amount of iron ore or
- 00:03:33how much chlorine is in a given amount
- 00:03:35of a Chlor
- 00:03:37chlorocarbon so this questions could be
- 00:03:40answered by F by by having all this
- 00:03:43information the chemical formula the
- 00:03:45atomic and formula masses with those
- 00:03:48information we can calculate and we can
- 00:03:50look for the answer for this uh
- 00:03:54questions
- 00:03:55so some hardware stores sales Nails by
- 00:03:59pound
- 00:04:00which is easier than selling them by
- 00:04:02mail so when you go to the any hardware
- 00:04:05store you look for three pounds of nails
- 00:04:08you don't ask for 50
- 00:04:11Nails this problem is similar to asking
- 00:04:14how many atoms are in a given mass of
- 00:04:16that element so it's more easy to ask
- 00:04:19for 8.25 gram for a specific mass
- 00:04:22instead of asking for thousands of atoms
- 00:04:26or of or of a specific um element or a
- 00:04:30thousand of molecules for a compound so
- 00:04:33that's why we use uh grams instead of
- 00:04:36specific uh amount of
- 00:04:41items a customer buys 2.6 pounds of a
- 00:04:44mediumsized nails and a dozen of these
- 00:04:47nails weigh
- 00:04:5050 pounds how many nails did the
- 00:04:53customer buy so to try to answer this
- 00:04:56kind of questions we need to create what
- 00:04:59we called a solution map this is going
- 00:05:03to give us like a big picture of how we
- 00:05:07can go from one point to another from A
- 00:05:10to B okay for example here this is the
- 00:05:14map we start with pounds of nail because
- 00:05:17that is the information that we have he
- 00:05:20wants to buy 2.6 pounds of this of of of
- 00:05:24of nails so we start with that then we
- 00:05:26need to get to the number of nails but
- 00:05:29in the middle we have we need to look
- 00:05:32for something that help us to change to
- 00:05:35transform the units of pounds to the
- 00:05:38number of nails and this is a definition
- 00:05:41that we have also here in the question
- 00:05:44but it says that one dozen of these
- 00:05:47nails weigh
- 00:05:4950 pounds so this is a relationship that
- 00:05:52we can create one dozen
- 00:05:56over150 pounds or we can also we arrange
- 00:06:00this equation and put the the
- 00:06:02denominator in denominator and
- 00:06:04denominator in the denominator to use it
- 00:06:06also remember that for each definition
- 00:06:08we always produce two conversion factors
- 00:06:11and we need to use the one that cancel
- 00:06:14the unit that we need to cancel for
- 00:06:15example this one we need to cancel the
- 00:06:18the pounds of nails so we're going to
- 00:06:20use this conversion factor instead of
- 00:06:22the one that had the Dozen in the
- 00:06:24denominator and the pounds in the
- 00:06:26denominator okay so that's why we are
- 00:06:29using this one here so by using this
- 00:06:32we're going to have we're going to
- 00:06:33change pounds to dozens to number of
- 00:06:36nails okay um and then the doen in one
- 00:06:40doen we have 12 nails so now we can
- 00:06:43determine the number of nails so these
- 00:06:45are the two conversion factor that we
- 00:06:47need to use so this is point a this is
- 00:06:50point B and this is the intermediate
- 00:06:53point so we need to transformation
- 00:06:54between this two and then another factor
- 00:06:57to change from Doc to number of nails
- 00:07:00from here to here so these are the two
- 00:07:02conversion factor so we now convert the
- 00:07:05pounds to the number of nail by
- 00:07:07following this we start with 2.6 pounds
- 00:07:11of nails times 1 do of nails is equal
- 00:07:15to5 pounds so we cancel the uh pounds
- 00:07:20with pounds and we have here the units
- 00:07:22of Doon and then we cancel this unit by
- 00:07:25using the second pericial factor that we
- 00:07:27need to use to goes from dozens to
- 00:07:30number of nails and this will be 12
- 00:07:32nails in one dozen we cancel this dozen
- 00:07:36and dozen units and we have here the
- 00:07:38nails unit the ones that we need how
- 00:07:40many nails did the customer buy so we
- 00:07:42have now the nails and we then multiply
- 00:07:452.16 60 * 1 * 12 divided by .150 pounds
- 00:07:51and this will be equal to
- 00:07:5428
- 00:07:57nails so the conversion factor for the
- 00:08:01first part is the weight per dozen Nails
- 00:08:04okay so this is definition that was in
- 00:08:07the problem and as a definition remember
- 00:08:10that we can create two conversion
- 00:08:12factors we can put this in the
- 00:08:14denominator and this one in the
- 00:08:15denominator or this one in the
- 00:08:18denominator and this one in the
- 00:08:20denominator creating two conversion
- 00:08:21factor and remember that we need to use
- 00:08:23the one that the unit that we need to
- 00:08:26cancel is in the denominator that's the
- 00:08:29conversion factor that we need to use
- 00:08:31the second conversion factor for the
- 00:08:33second part was the number of nails in
- 00:08:35one doen so one do of nails is equal to
- 00:08:3812 Nails that's another definition okay
- 00:08:42and also from here we can obtain two
- 00:08:44conversion factor but we're just going
- 00:08:47to use the one that help us to cancel
- 00:08:50the unit that we are interested to
- 00:08:51cancel and produce the other unit
- 00:08:54eventually that will be at the end to
- 00:08:56help us to uh find uh our unit
- 00:09:00for answer the
- 00:09:03question now with atoms we must use
- 00:09:06their mass as a way to count
- 00:09:08them atoms are too small and too
- 00:09:12numerous to count them
- 00:09:14individually even if you could see atoms
- 00:09:17and count counted them 24 hours a day as
- 00:09:22long as you live you would barely begin
- 00:09:25to count the number of atoms in
- 00:09:27something as small as a grain of
- 00:09:32sand with nails we use a doen as a con
- 00:09:36as a convenient number in our conver
- 00:09:38conversation a dozen is too small to use
- 00:09:41with atoms we need a larger number
- 00:09:44because atoms are so small we can we
- 00:09:47can't use the you know the word one
- 00:09:50dozen of atoms but honestly that's too
- 00:09:52too small as compared with it with the
- 00:09:55males so in chemist our doen is called
- 00:09:58the mole
- 00:10:00the definition of mole is one MO is
- 00:10:03equal to 6.022 * of 10 power of 23rd
- 00:10:09particles so one mole is equal to this
- 00:10:12amount of particles and those particles
- 00:10:15could be atoms could be compounds one
- 00:10:18mole of nails will be 6.022 * 10 to the
- 00:10:2123r power Nails one mole of cows is
- 00:10:276.022 * 10 power of 23rd Cals so this is
- 00:10:32the definition as a sway of one of one
- 00:10:35dozen is equal to 12 particles so one
- 00:10:39mole is equal to 6.022 * 10 to the^ of
- 00:10:4423rd this number is known as the
- 00:10:47avocados number one mole of anything is
- 00:10:516.022 * 10 power 23rd units of that
- 00:10:56thing this number is called avad number
- 00:10:59name uh You2 am Mario avagadro that was
- 00:11:02the ones that defin it and established
- 00:11:05this number so one mole of marbl
- 00:11:08correspond to 6.022 * 10 to the power of
- 00:11:1323rd marbles in the same way one mole of
- 00:11:17sand grains corresponds to
- 00:11:216.022 time 10 to the power of 23rd sand
- 00:11:26grain so one mole of atoms ions
- 00:11:29molecules generally makes up objects of
- 00:11:32reasonable sizes for example 22 real
- 00:11:35copper pannies contains about one mole
- 00:11:38of copper atoms so one mole of copper
- 00:11:41atoms can be represented by 22
- 00:11:46panes also two large helium balloons
- 00:11:49contain approximately one mole of helium
- 00:11:53atoms so that's the amount of helium
- 00:11:56that you need to have one mole ofum
- 00:12:00atoms the size of the mole is a measure
- 00:12:03quantity the numerical value of the mole
- 00:12:06is defined as being equal to the number
- 00:12:09of atoms in exactly 12 gram of pure
- 00:12:12carbon
- 00:12:1412 this definition of the mole
- 00:12:17establishes a relationship between the
- 00:12:19mass grams of carbons and the number of
- 00:12:22atoms the avocados number okay so that's
- 00:12:24where comes all the definition of the
- 00:12:27avocados number this Rel relationship
- 00:12:29allow us to count atoms by waning
- 00:12:35them so let's convert moles to numbers
- 00:12:38of atoms Convert 3.5 moles of helium to
- 00:12:41the number of helium atoms so here we
- 00:12:43have in this problem the data the the
- 00:12:46first information is that we have
- 00:12:483.45 moles of helium okay and we need to
- 00:12:52find the atoms of human so we need to
- 00:12:56look for something that help us to go
- 00:12:58from MS to atom so we create a solution
- 00:13:02map we need to we need a pericial factor
- 00:13:04to goes from the MS of helium to atoms
- 00:13:08and we have one definition that is the
- 00:13:10avocados number that goes from moles to
- 00:13:13number of particles remember that
- 00:13:16avocados number is a relationship
- 00:13:18between one mole and number of particles
- 00:13:20in this case those particles are the
- 00:13:23atoms okay so it's not like it's one Mo
- 00:13:27than 6.022 * 10 power3 atoms all the
- 00:13:31time no one mole is equal to that number
- 00:13:35of particles and in this case the atoms
- 00:13:38are those particles so we have one mole
- 00:13:41of helium is equal to
- 00:13:436.022 time 10^ 33rd atoms of helium so
- 00:13:48this is the conversion factor that we
- 00:13:50need and because we start with moles of
- 00:13:52helium we put the one mole in the
- 00:13:55denominator so we can then cancel that
- 00:13:58and have the atoms of helium and
- 00:14:00nominator so here we have the solution
- 00:14:033.5 moles that is in the problem the
- 00:14:07definition that we I mean the conversion
- 00:14:09factor that we can obtain from the
- 00:14:11definition of mole we cancel the mole of
- 00:14:13helium and then we have the atoms of
- 00:14:17helium so 3.5 time the avad number
- 00:14:20divided by one is equal to 2.1 time 10
- 00:14:23to the power of 24 the number of atoms
- 00:14:27of helium
- 00:14:30the same thing we can convert from atoms
- 00:14:33to moles this is basically the reverse
- 00:14:36uh way to use the avocados number so
- 00:14:40what we have first is the atoms of
- 00:14:44silver so we need to go from atoms of
- 00:14:46silver to moles of silver and basically
- 00:14:50the same uh we need to use a solution
- 00:14:53map but now it goes from atoms from
- 00:14:57particles to moles and as we can see
- 00:15:00here the conversion factor that we need
- 00:15:02is the avocados number the definition of
- 00:15:04avocados number here so one mole
- 00:15:08basically of silver is equal to
- 00:15:116.022 * 10^ 23rd atoms of of silver so
- 00:15:16in this way by using this we can goes
- 00:15:19from the atoms to the
- 00:15:21mole so
- 00:15:231.1 * 10 ^ of 22 uh atoms of silver
- 00:15:29divided by the avocados number that
- 00:15:31would give us the number of moles of
- 00:15:37silver that is 1.8 * 10^
- 00:15:42of-2 the moles of
- 00:15:46cylinder now these pictures have the
- 00:15:49same number of nails both of them we
- 00:15:52have one doen of large Nails we have one
- 00:15:55dozen of small Nails the weight of one
- 00:15:59dozen Nails change for different Nails
- 00:16:02okay because the size of each
- 00:16:07nail this picture have the same number
- 00:16:09of atoms the weight of one mole of atoms
- 00:16:12changed for different elements so we
- 00:16:14have here the same number of atoms as
- 00:16:17here but here the mass of this is 32.7 G
- 00:16:22while the mass of this is 12.01 G but
- 00:16:25the number of atoms is the same in both
- 00:16:32so the atomic mass unit is defined as
- 00:16:34112 of the mass of car of a carbon to
- 00:16:38atom the molar mass as of any element is
- 00:16:41the mass of one mle of atom of the
- 00:16:43element is equal to the atomic mass of
- 00:16:46the ele of that element expressed in
- 00:16:48atomic mass un one copper atom has an
- 00:16:52atomic mass of
- 00:16:566355 atomic mass unit
- 00:16:59and one mole of copper atoms has the
- 00:17:02mass of
- 00:17:036335 G of
- 00:17:08copper the molar mass of copper is 63.5
- 00:17:1255 G of uh by mole okay so this
- 00:17:17basically is the molar mass of copper
- 00:17:19and this one is the atomic mass so when
- 00:17:22we use the atomic mass we're going to
- 00:17:23use the units of atomic mass unit and
- 00:17:26when we're looking for the molar mass
- 00:17:29we're going to use the 6355 grams per
- 00:17:32mole those units because this one is
- 00:17:34going to give us the relationship
- 00:17:36between grams or mass and
- 00:17:42moles so the mass of one mole of atom of
- 00:17:45an element is its molar mass the mass of
- 00:17:48one mole of atoms change for different
- 00:17:50elements for example 32.7 G of f sulfur
- 00:17:55is equal to one more mole of sulfur and
- 00:17:58the the number of aalas atoms of
- 00:18:01sulfur 12.01 gram of carbon is equal to
- 00:18:06one Mo of carbon and also the same name
- 00:18:09the same number of atoms and 6.94 gram
- 00:18:13of lithium is equal to 1 mole of lithium
- 00:18:16and also the same number of atoms this
- 00:18:18is equal if we can think about the doen
- 00:18:21a dozen of cows a dozen of mice and a
- 00:18:25dozen of whales you have a dozen of each
- 00:18:28one but each group is going to have a
- 00:18:31different weight because of the weight
- 00:18:33of the individual animal so this is the
- 00:18:36same thing we have the same number of
- 00:18:38atoms for each of the these three three
- 00:18:41different elements okay and that amount
- 00:18:44of atoms is going to gave a different
- 00:18:47weight okay for each of the element the
- 00:18:51lighter the atom the less mass in one
- 00:18:54mole of that atom okay so you have a
- 00:18:58lighter at is going to have the less
- 00:19:00less Mass because it's the lightest so
- 00:19:03that's why you can see that here if
- 00:19:06sulfur is a bigger one so it's going to
- 00:19:08have a bigger mass for the same number
- 00:19:11of
- 00:19:15atoms so let's convert between grams and
- 00:19:20moles and grams and
- 00:19:23moles you no uh conversion factor or a
- 00:19:27definition that we told before that is
- 00:19:29the m Mass okay so that's the conversion
- 00:19:31factor basic that we need to use when
- 00:19:33who wants to go from Mass to moles or
- 00:19:37grams okay the units of of mass the most
- 00:19:40GRS so calculate the number of moles of
- 00:19:44carbon in 58 grams of diamond so what we
- 00:19:48have is that first information 58 gram
- 00:19:51of
- 00:19:52diamond we need look to look for the
- 00:19:54moles of carbon so we can create this
- 00:19:57solution map that goes goes from grams
- 00:19:59of carbon to moles of carbon and here we
- 00:20:02can see that the our conversion factor
- 00:20:04now is the molar mass of carbon the ones
- 00:20:07that can relate mass and mole because we
- 00:20:10know that one mole of carbon is equal to
- 00:20:1412.01 grams of carbon this comes from
- 00:20:16the periodic table okay remember that
- 00:20:19the atomic mass can be transformed to
- 00:20:22the molar mass by using the aous
- 00:20:26number so that's the relationship that
- 00:20:28we're going to use use in this case and
- 00:20:30that will be our conversion factor so we
- 00:20:32start with 58 G of carbon and we need to
- 00:20:35put the grams in the denominator as we
- 00:20:37can see here so there going to be
- 00:20:38basically these two factors that we're
- 00:20:40going to use 58 or both data divided by
- 00:20:4512.01 grams of carbon and we have the
- 00:20:48moles of carbon in the denominator
- 00:20:50that's why is the unit for our result
- 00:20:53and here we have how many moles we have
- 00:20:55in 58 G of carbon that is 4. * 10^
- 00:21:01of-2 m of
- 00:21:04carbon so what about if we wants to know
- 00:21:07the number of atoms that we have in0
- 00:21:1058 so we have this and this one we have
- 00:21:13a mole so what we need to use to Cher
- 00:21:16moles to number of atoms of carbon to
- 00:21:20number of particles we need to use then
- 00:21:24the avos number perfect so and now we
- 00:21:27can create another
- 00:21:29um another map here okay solution map we
- 00:21:33need to start from the mass of carbon
- 00:21:36goes through the moles of carbon and
- 00:21:39then finally to the number of carbon
- 00:21:41because we don't we don't have right now
- 00:21:44a uh conversion factor that can goes
- 00:21:46directly from mass of carbon to number
- 00:21:48of atoms we need to go first through the
- 00:21:51moles of carbon so to do this from ma
- 00:21:54from the mass of carbon to the moles we
- 00:21:56use the molar mass and to transform from
- 00:21:59the moles to the number of atoms of or
- 00:22:01number of particles we need to use the
- 00:22:04avad number so now we add this part so
- 00:22:07the one uh solution before that we have
- 00:22:10in the previous slide okay so that's we
- 00:22:12have now we have the AV number here we
- 00:22:15now can cancel the moles of carbon and
- 00:22:17now we have the atoms of carbon here so
- 00:22:2158 gram of diamond is equal to 2.9
- 00:22:26time 10^ 22nd
- 00:22:29um atoms of
- 00:22:35carbons so converting now between grams
- 00:22:38and the number of atoms how many Al
- 00:22:41aluminum aluminum atoms are in an
- 00:22:44aluminum can with a mass of 16.2 gram so
- 00:22:48we have mass here and we these two go to
- 00:22:51atoms but we don't have a a a specific
- 00:22:55conversion factor that goes from Mass to
- 00:22:57atoms but we can go from Mass to moles
- 00:23:01and then from moles to atoms okay that
- 00:23:04way we can create our solution map here
- 00:23:08that goes from the mass of aluminum to
- 00:23:11the moles of aluminum and from moles of
- 00:23:13aluminum to the number of particles or
- 00:23:16number of atoms in this case of aluminum
- 00:23:19so to go from Mass to moles we can use
- 00:23:21the molar mass to go from moles to
- 00:23:24number of atoms we need to use our
- 00:23:26definition of the's number so we need to
- 00:23:29look for the molar mass of aluminum
- 00:23:31because we are looking for the atoms of
- 00:23:33aluminum and the initial data is 16.2
- 00:23:36gram of
- 00:23:37aluminum so we used our molar mass of
- 00:23:40aluminum and we can then uh solve a
- 00:23:45problem by using 16.2 gram of aluminum
- 00:23:49divided by the marolar mass because
- 00:23:51remember that we need to put the U Mass
- 00:23:54in the denominator so that way we can
- 00:23:56cancel the mass of aluminum of of the
- 00:23:59sample okay and now we have here moles
- 00:24:02of of aluminum so we need to cancel this
- 00:24:05so that's why we need to use in this way
- 00:24:07the have got's number we need to put the
- 00:24:09m in the bottom because we can then
- 00:24:11cancel this to this if we use the other
- 00:24:13way we put the M on on the top and then
- 00:24:15the uh the atoms of aluminum our result
- 00:24:19will be mole Square divided by atoms so
- 00:24:23that's not what we're looking for so
- 00:24:24that's why we need to invert and have
- 00:24:27have it like this okay that so that way
- 00:24:29we can cancel the unit of moles and we
- 00:24:32will have here the unit of aluminum
- 00:24:34atoms so that's way 6 16.2 G of aluminum
- 00:24:40at 3.62 * 10 ^ of 23 atoms of
- 00:24:50aluminum so counting now the molecules
- 00:24:53by the gram for elements the M mass is
- 00:24:56the mass of one mole of a atoms of that
- 00:25:00element for compounds the M mass is the
- 00:25:03mass of one mole of molecules or formula
- 00:25:07units if we talking about ionic
- 00:25:09compounds of that
- 00:25:12compound ionic compounds do not contain
- 00:25:16individual
- 00:25:18molecules we convert between the mass of
- 00:25:21a compound and moles of the compound and
- 00:25:24then we calculate the number of
- 00:25:26molecules or formula units for from the
- 00:25:32moles so the M mass of a compound in
- 00:25:35grams per mole is numerically equal to
- 00:25:38the formula mass of the compound in
- 00:25:40atomic mass units or ionic compounds the
- 00:25:44formula mass a for compound is the sum
- 00:25:48of the atomic masses of all of the atoms
- 00:25:52in a chemical
- 00:25:56formula so let's now convert between
- 00:25:59grams and moles of acam so let's
- 00:26:03calculate the mass in grams of 1.75
- 00:26:07moles of water so we need to go from
- 00:26:10moles to mass the only conversion factor
- 00:26:14that we have is the molar mass so we
- 00:26:19need to look for the molar mass of
- 00:26:22water okay because we need to go from
- 00:26:26moles to grams and the only
- 00:26:28factor that has both unit is the m Mass
- 00:26:32so we have 1.75 moles of water who wants
- 00:26:35to determine the mass of water so we
- 00:26:38need to goes from mole to mass and what
- 00:26:44fact that's going to help us to
- 00:26:46determine this one will be the molar
- 00:26:50mass okay that is 18.02 gram of water in
- 00:26:54one mle of water how can we found this
- 00:26:5718
- 00:26:5902 grams of water well we need to look
- 00:27:02for each of the atomic mass okay of the
- 00:27:05atoms that compose the uh the compound
- 00:27:08and for example the mar mass for
- 00:27:10hydrogen is one we have in the molecular
- 00:27:13formula two hydrogen so we multiply two
- 00:27:15by the atomic mass of hydrogen and for
- 00:27:19oxygen we just have one oxygen here so
- 00:27:21that's why we multiply one times the
- 00:27:23atomic mass of oxygen this is 1 * 16 so
- 00:27:27this going to be equal to
- 00:27:2918.02 G per mole this is the molar mass
- 00:27:34okay for water now we can use this to
- 00:27:37convert from 1.75 moles of water to the
- 00:27:41mass of water we have the converion
- 00:27:46factor here we need to use this one
- 00:27:48instead of the one that has the mole in
- 00:27:49the denominator and the mass in the
- 00:27:51denominator so here we can cancel the
- 00:27:54mole of water and we have in the
- 00:27:56denominator the units of mass the unit
- 00:27:58of gr of water that is what we're
- 00:28:00looking for so when we multiply this
- 00:28:02we're going to have a total of
- 00:28:0531.5 grams of
- 00:28:11water so converting between number of
- 00:28:14molecules and mass of a compound
- 00:28:16remember now because we're talking about
- 00:28:18a compound we're talking about molecules
- 00:28:21okay so in the other example we're
- 00:28:24talking about elements so we can
- 00:28:25calculate number of atoms eventually
- 00:28:27then we we can calculate also the number
- 00:28:29of atoms if we want to determine from
- 00:28:32from the molecule but for now we wants
- 00:28:34to calculate the number of molecules
- 00:28:36when we have a mass or data of the mass
- 00:28:40of a compound so here is what is the
- 00:28:43mass of 4.72 * 10 to the^
- 00:28:4724 molecules of nitrogen
- 00:28:51oxide so the data that we have is for
- 00:28:55the the number of molecules is this one
- 00:28:58or NO2 we wants to find the mass of NO2
- 00:29:02that represent this amount of molecules
- 00:29:05so we need to go from molecules to moles
- 00:29:10remember that we don't have a specific
- 00:29:12conversion factor that goes from
- 00:29:13molecules to mass the only thing that we
- 00:29:16know that has something related with
- 00:29:17mass is the molar mass that is mole and
- 00:29:21mass so molecules is particles okay this
- 00:29:26in this example the mole is the number
- 00:29:28of particles so if when we talk about
- 00:29:31particles we that's that's that has to
- 00:29:33make a click in our mind say number of
- 00:29:36particles av's number okay so we need to
- 00:29:40go from number of molecules to the mole
- 00:29:43by using the avocados number and then
- 00:29:46from moles to Mass using the second
- 00:29:49coefficient factor that is the molar
- 00:29:51mass okay so when we went to go from
- 00:29:53particles to moles avocado number from
- 00:29:56mole to Mass is going to be the marar
- 00:29:59mass the same way is the opposite if we
- 00:30:02wants to go from Mass to moles we need
- 00:30:04to use the same kind of conversion
- 00:30:06factor that we can obtain from the molar
- 00:30:09mass and for moles to number of
- 00:30:11particles we need to use a conversion
- 00:30:14factor that can come from the avocados
- 00:30:17number so here we need to use determine
- 00:30:20the molar mass of NO2 and by doing that
- 00:30:24we need to calculate it in this case is
- 00:30:2646.01
- 00:30:28G of uh nitrogen oxide divided by one Mo
- 00:30:32of
- 00:30:35NO2 so how can we do that here we have
- 00:30:39our first uh relationship okay the ones
- 00:30:41that we know fromage number and this one
- 00:30:44is to obtain the molar mass of NO2 we
- 00:30:46have one nitrogen and two oxygen from
- 00:30:49our uh molecular chemical formula here
- 00:30:53NO2 so we need to look for the atomic
- 00:30:55mass of nitrogen and multiply by one the
- 00:30:58atomic mass of oxygen and multiply by
- 00:31:00two so the atomic mass of nitrogen is
- 00:31:0214.1 * one is this one while the atomic
- 00:31:06mass of oxygen is basically 16.0 * 2 so
- 00:31:10that means that their molar mass of NO2
- 00:31:13is
- 00:31:1446.01
- 00:31:15gram times mole so now we need to
- 00:31:21go uh going back to the the problem need
- 00:31:24we go from molecules to mass so first
- 00:31:27first we change our molecules to moles
- 00:31:31by using the av's number which a factor
- 00:31:33we can cancel here the molecules and
- 00:31:36then this moles can be cancell by the
- 00:31:39units of mole that we can find in our
- 00:31:41convergent factor from the molar mass so
- 00:31:44we can cancel here the moles of NO2 and
- 00:31:47we have the mass of NO2 that is
- 00:31:51365 G of NO2 in
- 00:31:554.78 * 10 ^ 24
- 00:31:59uh NO2
- 00:32:00[Music]
- 00:32:03molecules so chemical formulas as a
- 00:32:05converstion factor we can also use those
- 00:32:08chemical
- 00:32:09formulas to go from number of molecules
- 00:32:13to number of atoms that's I mentioned
- 00:32:15before so here for example we have a
- 00:32:17three left Clover an analogy how many
- 00:32:21leaves of on 14 clovers so if each
- 00:32:25Clover have three leaves okay that means
- 00:32:28that we need to go from number of CLS
- 00:32:31we're going to use the same u m solution
- 00:32:34MTH number of clavers to number of
- 00:32:36Leaves we have the conversion factor
- 00:32:38that we can find by just looking okay
- 00:32:40the FL so we then can use 14 CLS divided
- 00:32:45by one cl multiply by three leaves this
- 00:32:47is a conversion factor from here and now
- 00:32:50we can have 42 leaves okay we can have
- 00:32:5342 leaves from uh 14 CLS so the same way
- 00:32:57we can use are chemical
- 00:33:00formulas the formula for carbon
- 00:33:03dioxide means there that there are two
- 00:33:07oxym of atoms per one CO2 molecule okay
- 00:33:12so we have another word two atoms of
- 00:33:15oxygen for each molecule of CO2 so this
- 00:33:19is a conversion factor we can use this
- 00:33:22the denominator and this the denominator
- 00:33:25or vice versa it all depends of what is
- 00:33:28the question and what we're looking for
- 00:33:30okay the same way 12 dozens of oxygen
- 00:33:34atoms are in one dozen of molecules of
- 00:33:38CO2 because this basically twice the
- 00:33:41number of CO2 of oxygen so the same
- 00:33:45thing happens if we are talking about
- 00:33:47moles two moles of oxygen are in one
- 00:33:50mole of
- 00:33:53CO2 so the conversion factor comes
- 00:33:56directly from
- 00:33:59formulas it Lex in one spider okay for
- 00:34:02each spider we're going to find all
- 00:34:04always it Lex in a chair we have four
- 00:34:08legs and in one molecule of hydrogen we
- 00:34:11have two atoms of hydrogen so all of
- 00:34:14this are converstion factor using
- 00:34:17basically this types of example so we
- 00:34:20can understand a little bit more that
- 00:34:23conversion factor from the
- 00:34:26molecules so converting between moles of
- 00:34:29a compound and moles of a constituent
- 00:34:32element find the number of moles of
- 00:34:35oxygen in 1.7 mole of calcium
- 00:34:40carbonate so we start with this value
- 00:34:42this is what we have in the problem we
- 00:34:45have 1.7 mole of calcium carbonate and
- 00:34:49we need to determine the number of moles
- 00:34:51of
- 00:34:52oxygen so we need to look for a
- 00:34:55conversion factor that can relate the
- 00:34:58number of moles of oxygen and the number
- 00:35:00of moles of carbon uh calcium carbonate
- 00:35:04and that will be from our uh
- 00:35:08basically chemical formula in our
- 00:35:11chemical formula we can see here that we
- 00:35:13have three moles of oxygen per each mole
- 00:35:16of calcium carbonate so the solution map
- 00:35:19will be moles of calcium carbonate to
- 00:35:21moles of oxygen we have three moles of
- 00:35:25oxygen by each mole of calcium carbonate
- 00:35:28this is our conviction conversion factor
- 00:35:32okay so we have one mole 1.7 mole of car
- 00:35:35calcium
- 00:35:36carbonate times this will give us the MS
- 00:35:39of
- 00:35:42oxygen and here we have Point 5 point
- 00:35:45sorry um 5.1 moles of oxygen so in 1.7
- 00:35:51moles of carbonate we have 5.1 Mo
- 00:35:55moles of oxygen so here we are using the
- 00:36:00chemical formula okay the information
- 00:36:03from the chemical formula to create a
- 00:36:06conversion factor if we wants to
- 00:36:09transform from moles of the compound to
- 00:36:13mon to moles of a constituent element or
- 00:36:16vice versa if he wants to start with Mo
- 00:36:19of a constituent element to find how
- 00:36:21many moles of the compound can be
- 00:36:23produced but the same thing we need to
- 00:36:25use a conversion factor that we can
- 00:36:28create or obtain from the chemical
- 00:36:32formula so let's do another example here
- 00:36:35we need to convert from uh grams to of a
- 00:36:40compound to a grams of a constituent
- 00:36:43element so let's find the mass of sodium
- 00:36:47in 50 gr of sodium
- 00:36:49chloride so we start with the mass of
- 00:36:53sodn chloride here okay and we to find
- 00:36:56out the mass of sodium itself so that
- 00:37:00means that maybe we need to go from the
- 00:37:02mass of sodium chloride to the number of
- 00:37:04moles of sodium chloride then from that
- 00:37:08point we can determine the mo number of
- 00:37:10moles of sodium and finally we can get
- 00:37:14to the mass of sodium so here we have
- 00:37:17basically our solution map we start with
- 00:37:20the mass of the compound because that's
- 00:37:23what we have in the problem 50 gram the
- 00:37:26mass of sod chloride
- 00:37:28so from the mass we can go to the moles
- 00:37:30using the M mass of the compound sodium
- 00:37:33chloride that is
- 00:37:355844 gram over one mole and we use this
- 00:37:39we arrange of of that molar mass so we
- 00:37:41can cancel the units of mass of sodium
- 00:37:44chloride now we have the moles of sodium
- 00:37:47chloride so we can go to from moles of
- 00:37:49sodum chloride to moles of sodium by
- 00:37:53using the conversion factor that we can
- 00:37:55obtain from the chemical formula because
- 00:37:59we can see here that in one mole of
- 00:38:02sodium chloride how many moles of sodium
- 00:38:04we have in the the chemical formula just
- 00:38:06one so that's another conversion factor
- 00:38:09that we can use to go from the M of
- 00:38:11sodium chloride to the m of sodium and
- 00:38:14finally you can go from the moles of
- 00:38:15sodium to the mass of sodium using the
- 00:38:19molar mass for sodium okay that is 22.9
- 00:38:22G of sodium over one Mo we put here the
- 00:38:26moles in the denominator so we can
- 00:38:27cancel the moles of sodium so in other
- 00:38:31words the solution will be 50 g okay of
- 00:38:34sodium chloride and we can uh substitute
- 00:38:37all this value here in this equation
- 00:38:39multiply 15 by 22.9 and then divide it
- 00:38:42by
- 00:38:435844 and that will be 5.9 gr of sodium
- 00:38:47okay so because 1 * 1 * 21 this will be
- 00:38:5022.9 and then the denominator 58.4 * 1 *
- 00:38:541 will be 58.4 so we can multiply 15 *
- 00:38:5922.9 ided by
- 00:39:025844 and that will be the mass of sodium
- 00:39:06that we can obtain from 15 grams of
- 00:39:10sodium floride so for each 15 grams that
- 00:39:12we ate eat every day of sodum fluoride
- 00:39:16from those 50 15 grams 5.9 grams are
- 00:39:20from
- 00:39:22sodium so as we saw before there is a
- 00:39:25more relationship from the chemic
- 00:39:27formula here we have one Mo of C4 Tetra
- 00:39:31chloride of carbon Tetra chloride carbon
- 00:39:34okay um and here we have uh four moles
- 00:39:37okay that we can obtain from the one
- 00:39:40mole of ccl4 so the relationship
- 00:39:43inherent in a chemical formula allow us
- 00:39:46to convert between moles of the compound
- 00:39:49and moles of a constituent element and
- 00:39:52vice versa so that's how we can use the
- 00:39:56chemical formula as a conversion factor
- 00:39:59as you can see here one mole of
- 00:40:00cl4 can produce four moles of CCL of Cl
- 00:40:04all right and what about if we need to
- 00:40:07look for the relationship using the C4
- 00:40:11of moles of
- 00:40:14carbon so if we need to determine the
- 00:40:16moles of carbon the conversion factor
- 00:40:19from here would be one mole of
- 00:40:22ccl4 okay will produce one mole of
- 00:40:26carbon because here in the chemical
- 00:40:29formula we see that for each ccl4 we
- 00:40:31have just one carbon and for each ccl4
- 00:40:34we have four moles of
- 00:40:38choride now talking about um compounds
- 00:40:42that have chlorine synthetic compounds
- 00:40:46known as chlorofluorocarbon CFCs CFCs
- 00:40:50are destroying a vital compound called
- 00:40:53ozone in Earth upper atmosphere CFC are
- 00:40:58chemically iner molecules used primarily
- 00:41:01as refrigerants and Industrial solvents
- 00:41:04the upper
- 00:41:06atmosphere sunlight break bonds within
- 00:41:09cfc's resulted in the release of
- 00:41:12chlorine atoms and there's the situation
- 00:41:15chlorine chlorine atoms react with ozone
- 00:41:18and destroyed it by converting from
- 00:41:20ozone to O2 ozone is O3 and O2 is oxygen
- 00:41:26the finding of o overpopulated areas is
- 00:41:29dangerous because ultraviolet light can
- 00:41:32harm living things and induce skin
- 00:41:34cancer in humans because those o the the
- 00:41:37ozone protect us against the ultraviolet
- 00:41:40light from the
- 00:41:42sun most developed Nations banned
- 00:41:45production of cfc's on January 1st in
- 00:41:491996 the cfc's still lur in older
- 00:41:52refrigerators and air conditions units
- 00:41:55and can leak into the atmosphere here
- 00:41:57and destroy the
- 00:42:00ozone now upper atmospheric ozone is
- 00:42:03important as I mentioned before because
- 00:42:05it acts as a shield to protect life and
- 00:42:08on Earth from harmful ultraviolet life
- 00:42:11so the ozone is basically around the
- 00:42:14earth okay those molecules of O3 and the
- 00:42:17UV is absorbed by those molecules and
- 00:42:20avoid to to impact directly to the Earth
- 00:42:23and also affect us now the Antarctic
- 00:42:27ozone hole area from 1980 to uh 2012 is
- 00:42:31right here in this graph this is
- 00:42:33basically the years and this is the size
- 00:42:36of the hole of the hole in the ozone
- 00:42:38goes to the arc the darkest blue colar
- 00:42:41indicate the lowest ozone level so that
- 00:42:43means that this area is less protected
- 00:42:46than the rest of the world now in in the
- 00:42:48previous slide we mentioned that in 1996
- 00:42:52a lot of nation banned the production of
- 00:42:54CFCs and we can see here that in uh from
- 00:42:571995 on there is like like a flat up
- 00:43:01there because um there was no production
- 00:43:03of CFCs so that's why it's important to
- 00:43:06understand and learn about the different
- 00:43:08compounds with
- 00:43:10Florine and the impact in our
- 00:43:15lives let's talk now about the mass
- 00:43:17percent composition of
- 00:43:20compounds this also known as the mass
- 00:43:23percent of an element is the element's
- 00:43:25percentage of the total mass of the
- 00:43:28compound so for example here we have the
- 00:43:30mass percent of element X is the mass of
- 00:43:33X in a sample of the compound divided by
- 00:43:36the mass of the sample of the compound
- 00:43:38times 100 so basically the mass percent
- 00:43:41of the element X is the mass of x
- 00:43:43divided by the total mass of the
- 00:43:48compound so 358 G sample of chromium
- 00:43:53reacts with oxygen to form 523 G of
- 00:43:57metal
- 00:43:58oxide the mass percent of chromium will
- 00:44:02be when all react together and produce
- 00:44:04this will be point will be basically the
- 00:44:07mass of chromium divided by the mass of
- 00:44:09the metal
- 00:44:10oxide so it will be 358 G divided by 523
- 00:44:16G this is the mass of the chromide as we
- 00:44:18can see
- 00:44:20here and this is the total mass of the
- 00:44:24metal oxide time 100 this will be equal
- 00:44:26to
- 00:44:2868.5% of
- 00:44:30chromium in that
- 00:44:32oxide so that's how you can determine
- 00:44:34the mass percent of an
- 00:44:40element so use mass percent composition
- 00:44:42as conversion factor we can use mass
- 00:44:44percent composition as a conversion
- 00:44:46factor between grams of a an element and
- 00:44:50the grams of the
- 00:44:51compound so if we have for example uh a
- 00:44:55sample a sample of s chloride 39% of
- 00:44:59sodium that means that we have 39 G of
- 00:45:03sodium in 100 grams of sodium chloride
- 00:45:07because the composition of sodium in
- 00:45:09that sample of sodium chloride is
- 00:45:1239% so that means that 39 of of the 100
- 00:45:16part are from sodium while the
- 00:45:1961% is from chloride so by using the
- 00:45:23sodium uh relation we can find out a
- 00:45:27conversion factor okay about 39 grams of
- 00:45:30sodium for for each 100 gram of sodium
- 00:45:34chloride and that will be the conation
- 00:45:37factor obtained from the mass percent
- 00:45:41composition so here we have the mass
- 00:45:44percent composition of Florine 39% so we
- 00:45:47can have two conversion factor obtained
- 00:45:49from that uh percent because we can say
- 00:45:52that we have 39 gram of sodium in 100
- 00:45:55gram of sodium chloride
- 00:45:57or 100 G of fum
- 00:45:59chloride over 39 G of sodium so this
- 00:46:04fractions are conversion factor factors
- 00:46:07between the grams of sodium and the
- 00:46:10grams of sodium chloride in a sample of
- 00:46:1339% sodium in sodium
- 00:46:18chloride so as me we mentioned at the
- 00:46:20beginning of this video the FDA
- 00:46:22recommends uh to adults to consume 2.4
- 00:46:25grams of sodium per day
- 00:46:27so how many grams of sod chloride can
- 00:46:29you consume and still be within the FDA
- 00:46:33guidelines so sodum chloride is
- 00:46:3639% of sodium by mass as we mentioned
- 00:46:41before so if we have for example if we
- 00:46:44need for example 2.4 grams of sodium
- 00:46:47okay and we have this conversion factor
- 00:46:49that says that for each 100 gram of
- 00:46:52sodium chloride we have 39 grams of
- 00:46:54sodium because the sample is 39% sodium
- 00:46:58and sodium chloride and once we
- 00:47:00determine the grams or mass of sodium
- 00:47:02chloride we can use this conversion
- 00:47:04factor okay and we need to and we know
- 00:47:07that we need to go from the mass of
- 00:47:09sodium to the mass of sodium chloride by
- 00:47:12using the converstion factor of
- 00:47:15the um mass percent
- 00:47:18composition so we can multiply 2.4 * 100
- 00:47:24and divide it by 39
- 00:47:28and this will give us the mass of
- 00:47:30Southern chlorine that we need to eat
- 00:47:32every day okay to obtain the uh amount
- 00:47:37recommended of sodium per day by FDA so
- 00:47:41if we wants to eat 2.4 grams of sodium
- 00:47:44we need to really eat 6.2 grams of
- 00:47:47sodium chloride okay in in our diet in a
- 00:47:50way that we can consume the uh levels
- 00:47:53that FDA can for adults
- 00:48:00So based on the chemical formula the
- 00:48:02mass percent of element Chlorine in
- 00:48:05compound C cl2 F2 is as follow mass
- 00:48:08percent of Cl would be two times the
- 00:48:11molar mass of chlorine because we have
- 00:48:13two moles of chlorine there divided by
- 00:48:17the mol mass of the compound C2 F2 * 100
- 00:48:22okay so because we have two moles of
- 00:48:25that element
- 00:48:27then we need to multiply twice the M
- 00:48:29mass of that element and that will give
- 00:48:32gave us the mass of that element in this
- 00:48:35in this molecule this compound and we
- 00:48:38then divide it by the M mass of the
- 00:48:39whole compound times 100 that will give
- 00:48:42us the mass percent for chlorine the
- 00:48:44same thing will be with Florine because
- 00:48:46we have two if we need to calculate the
- 00:48:48mass percent for Florine will be two
- 00:48:51times the mar mass of Florine divided by
- 00:48:54the mar mass of CCL
- 00:48:57two and if this will be the mass percent
- 00:49:00of carbon will be just one time the M
- 00:49:02mass of carbon divided by the molar mass
- 00:49:06of the whole um
- 00:49:09compound so let's do an example
- 00:49:12calculate the mass percent of Chlorine
- 00:49:14in C in C2 cl4 F2 that is fre on
- 00:49:19114 so we have the compound we need to
- 00:49:24calculate the percent mass of chlorine
- 00:49:27so we have how many chlorines per
- 00:49:30molecule of C2 cl4 F2 we have four so
- 00:49:34that means that we need to multiply the
- 00:49:36mar mass of chlorines Time 4 and then
- 00:49:38divide it by the mar mass of
- 00:49:42c24
- 00:49:43F2 so that's we have here the percent of
- 00:49:47Chlorine okay will be four times the mar
- 00:49:51mass of chlorine divided by the mar mass
- 00:49:55of the compound
- 00:49:57that will be the equation that we need
- 00:49:59to
- 00:50:05solve so in other words basically we
- 00:50:07have the mass percent of an element X as
- 00:50:09mentioned before it will be the mass of
- 00:50:11element X in one mole okay divided by
- 00:50:14one mole of the
- 00:50:18compound so here we have in the in the
- 00:50:22solution of 3 114 the M mass of chlorine
- 00:50:26is
- 00:50:2735.45 * 4 okay will be 41.8 this is the
- 00:50:32marar mass for chlorine and the amount
- 00:50:36of mass for chlorine in the compound and
- 00:50:39the molar mass of the compound would be
- 00:50:41two times the atomic Mar mass of carbon
- 00:50:46four times the mar mass of chlorine and
- 00:50:49two times the M mass of Florine so this
- 00:50:51is the amount of mass due to Florine
- 00:50:55this one due to Florine and this this is
- 00:50:57to this due to carbon okay that all of
- 00:51:01them will give us the molar mass of the
- 00:51:04compound that is
- 00:51:0723.8 gram okay so this is the mar mass
- 00:51:10for the compound and this is the the
- 00:51:12mass basically that we have from
- 00:51:15chlorine in this compound so this will
- 00:51:18be 141.5 that is this divided by 203
- 00:51:23that is the mass for the compound time
- 00:51:27100 so we have a total the mass percent
- 00:51:31for chlorine of
- 00:51:346958 percent so that's the percent of
- 00:51:37Florine I mean of chlorine in this uh
- 00:51:41compound if we would like to determine
- 00:51:44the percent of Florine it will be the M
- 00:51:47mass of Florine times two and then that
- 00:51:50that product you put that product here
- 00:51:52divided by this amount because it's the
- 00:51:53same compound so you need to use the
- 00:51:55same Mar mass of the compound times 100
- 00:51:59that will give you the M mass for I mean
- 00:52:02the mass percent of the
- 00:52:07floride so now that's we are talking
- 00:52:09about fluoride fline fluoride
- 00:52:12strengthens tool enemo which prevents
- 00:52:16tooth
- 00:52:17decay too much fluoride can cause teeth
- 00:52:20to become Brown and spot a condition
- 00:52:23known as Dental
- 00:52:25fosis EX extremely high levels can led
- 00:52:28to skeletal
- 00:52:30fosis the scientific consensus is that
- 00:52:34like many minerals fluoride shows some
- 00:52:37health benefits at certain levels about
- 00:52:401 to four milligrams a day for adults
- 00:52:42but can have tental effects at higher
- 00:52:45levels so basically this is what is
- 00:52:47recommended to have every single day
- 00:52:50adults who drinks between one and two
- 00:52:52liters of water per day would receive
- 00:52:55the beneficial amount of fluoride from
- 00:52:58the water okay so one of the principal
- 00:53:01sources of fluoride is the water
- 00:53:05fluoride is often added to water as
- 00:53:08sodium
- 00:53:09fluoride now what is the mass percent
- 00:53:12composition of fline in sodium
- 00:53:16fluoride how many grams of sodium
- 00:53:19fluoride should be added to one uh to
- 00:53:221500 liters of water to fluoridate it at
- 00:53:26levels of 1 milligram of Florine per
- 00:53:29liter okay so this question must be
- 00:53:32answered and we're going to work with
- 00:53:33them by using all this conversion factor
- 00:53:37uh we can do that by using conversion
- 00:53:40factors so let's talk now about
- 00:53:43empirical formulas from mass percent
- 00:53:48composition here we have chemical
- 00:53:50formula okay and we have the mass
- 00:53:53percent composition an empirical formula
- 00:53:55give us give us only the smallest whole
- 00:53:58number ratio of each type of atom in a
- 00:54:01compound not the specific number of each
- 00:54:04type of atom in a molecule so this give
- 00:54:07it just the ratio of a compound okay by
- 00:54:11by looking at them at the element level
- 00:54:15the molecular formula is always a whole
- 00:54:18number multiple of the emperical form
- 00:54:22for example the molecular formula for
- 00:54:24hydrogen peroxide is H2 2 and its
- 00:54:27empirical formula is ho okay so here we
- 00:54:30have the molecular formula and this is
- 00:54:33the empirical formula from this
- 00:54:35molecular formula and sometimes we
- 00:54:39have situation where the molecular
- 00:54:42formula is the same as the peral formula
- 00:54:44as for example in water H2O H2O is the
- 00:54:47molecular formula but also is the
- 00:54:50empirical
- 00:54:51formula so the molecular formula is
- 00:54:54equal to the empirical formula time n
- 00:54:57where n is one 2 3
- 00:55:00Etc n is equal to two four hydren
- 00:55:04peroxide because here we see that hydren
- 00:55:07peroxide is twice okay the empirical
- 00:55:10formula of ho so that's why the N is
- 00:55:14going to be equal to two for hydrogen
- 00:55:20peroxide now we can calculate empirical
- 00:55:22formula from experimental data we use
- 00:55:25the example of water to give us uh to
- 00:55:28tell you how how can you do that with
- 00:55:31the compost a sample of water in the lab
- 00:55:34and find that it produced three gram of
- 00:55:37hydrogen and 24 gram of
- 00:55:40oxygen by using this data how can we
- 00:55:44determine the empirical formula okay so
- 00:55:48we create a de composition of water here
- 00:55:50and we observe that we have 30 I mean
- 00:55:53three grams of hydrogens and 2 4 G of
- 00:55:59oxy so how many moles of each element
- 00:56:02are formed during the decomposition of
- 00:56:04water the first step to determine the
- 00:56:08empirical formula if we have as initial
- 00:56:11data a mass we need to transform that
- 00:56:14mass okay that data with unit of mass to
- 00:56:17moles okay so if we have three grams of
- 00:56:20hydrogen how can we change from grams to
- 00:56:24moles using what
- 00:56:27we can use the M Mass the units of M
- 00:56:30Mass remember that is g per mole so we
- 00:56:34can go
- 00:56:35from the three G of hydrogen and divide
- 00:56:39it here by the M mass of hydrogen 1.01
- 00:56:43gram of hydrogen is equal to one mole
- 00:56:45and by this we have the M of hydrogen
- 00:56:47the same thing we can do with oxygen we
- 00:56:49can multiply the mass of oxygen times
- 00:56:52one mole and then divided by 16.0 gr of
- 00:56:55oxygen this is the molar mass of oxygen
- 00:56:59this is the molar mass of hydrogen and
- 00:57:01it's flipped because we need to to have
- 00:57:04those units of gram in the denominator
- 00:57:07so that we can cancel the units of gram
- 00:57:10here from hydrogen and also from oxygen
- 00:57:13so here we have that we can produce
- 00:57:15three moles of hydrogen okay and we can
- 00:57:18produce 1.5 moles of oxygen so that
- 00:57:21means that in this sample the ratio
- 00:57:24basically goes from 3 moles of hydrogen
- 00:57:27for every 1.5 moles of oxygen so we can
- 00:57:32create and we can write what is known as
- 00:57:34a pseudo formula for water it will be
- 00:57:37h3o
- 00:57:391.5 okay but as we have been said before
- 00:57:43we need to have basically um whole
- 00:57:46number subscri okay we can't have
- 00:57:49decimals
- 00:57:51so but if we can look here 1.5 we
- 00:57:54multiply by two okay B basically sorry
- 00:57:57we need to divide this by the smallest
- 00:58:00subscrip okay so we divide this by the
- 00:58:02smallest subscrip and we have 1.5 ID 1.5
- 00:58:073id 1.5 and from here from this division
- 00:58:10we have the subscrip okay for each
- 00:58:13element and we can find out that the
- 00:58:16molecular formula is H2O so our
- 00:58:19empirical formula for water which in
- 00:58:21this case also happens to be the
- 00:58:22molecular formula is H2O so that's the
- 00:58:25way that how how we can determine or we
- 00:58:27can calculate the empirical formula by
- 00:58:31using data okay of the mass of each of
- 00:58:34the element that create that compound we
- 00:58:37have before as we mentioned here the
- 00:58:40composition of water producing three
- 00:58:41Gams of hydrogen and 24 grams of oxygen
- 00:58:44so by using this we can calculate we can
- 00:58:48find out the empirical formula okay once
- 00:58:51again we have the mass of the element we
- 00:58:54divide that mass by the m mass of each
- 00:58:56element and that will give us the um the
- 00:59:01moles so we can write a sudo formula
- 00:59:04okay as we WR WR here H3 1.5 but we need
- 00:59:10to have whole numbers so to do that we
- 00:59:12divide this two by the smallest one in
- 00:59:16this case is 1.5 so 1.5 divided by 1.5
- 00:59:19is 1 3id 1.5 is 2 so H2O is basically in
- 00:59:24our case the emper formula as well as
- 00:59:28the molecular
- 00:59:31formula
- 00:59:33so these are some rules or some steps to
- 00:59:38uh determine the brdal formula from
- 00:59:39experimental data first write down as
- 00:59:42given the masses of each element present
- 00:59:45in a sample of the compound if you are
- 00:59:47given mass percent composition assume a
- 00:59:49100 G sample and calculate the masses of
- 00:59:52each element from the given percentage
- 00:59:55then then convert each of the masses
- 00:59:58this in step one two moles as I
- 01:00:00mentioned before by using the
- 01:00:02appropriate molar mass for each element
- 01:00:04as a conversion factor so that way when
- 01:00:07you use the M mass and multiply by the
- 01:00:09mass you will have the
- 01:00:11moles then you can write a pseudo
- 01:00:14formula for the compound using the moles
- 01:00:17of each element as a
- 01:00:19subsrate and then you need to divide all
- 01:00:22the subsrate in the formula by the
- 01:00:24smallest subsrate
- 01:00:28if the subss are not whole numbers
- 01:00:31multiply all by all the subscrip by a
- 01:00:34small whole number as I'm going to show
- 01:00:36in the next slide uh table to arrive at
- 01:00:39a whole number
- 01:00:42subscript so see for
- 01:00:44example uh there's a fractional
- 01:00:46subscript that you're going to have is
- 01:00:470.1 you multiply by 10 is is2 you multip
- 01:00:515 25 multip by 4 23 multiply 3 so if
- 01:00:56your subs is any of this this is the
- 01:00:58factor that you need to multiply to have
- 01:01:01eventually a whole
- 01:01:04number following
- 01:01:07example a 3.24 gram sample of titanium
- 01:01:11reacts with oxygen to form 5.40 gram of
- 01:01:15the metal oxide What is the empirical
- 01:01:18formula of the metal oxide so we need to
- 01:01:21know the emperical formula for the metal
- 01:01:25oxide that is produced by Titanium with
- 01:01:29oxygen so what we have initial is the
- 01:01:32mass of titanium okay the sample of
- 01:01:35titanium and the mass of the metal oxide
- 01:01:39so we need to find out the empirical
- 01:01:42formula you cannot convert mass of metal
- 01:01:46oxide into moles because you don't know
- 01:01:49the uh chemical formula for this metal
- 01:01:52oxide yet so and that's the what you
- 01:01:56need eventually that's what you need to
- 01:01:57to find out okay
- 01:01:59so what we can do first of all you're
- 01:02:02given the mass of the initial titanium
- 01:02:05and the mass of the oxide but we need to
- 01:02:08determine the mass of oxygen how can you
- 01:02:12think that we can determine the mass of
- 01:02:14oxygen if this is what we
- 01:02:17have so remember the law of conservation
- 01:02:20of mass that can be destroyed they're
- 01:02:22created so we have here that the total
- 01:02:26mass of the com of the the reaction of
- 01:02:29tanum with oxygen is 5.40 so if we
- 01:02:33subtract
- 01:02:343.24 or 540 5.40 what we're going to
- 01:02:39have is the mass of oxygen because this
- 01:02:42metal oxide is the com is the
- 01:02:43combination of the mass of oxygen plus
- 01:02:47the titanium so if we subtract the mass
- 01:02:49of the titanium we're going to have the
- 01:02:51mass of the oxygen so the difference of
- 01:02:54this will be the mass of
- 01:02:56oxygen that combined with the titanium
- 01:02:58will produce the metal
- 01:03:01oxide so to find the mass of oxygen we
- 01:03:04need to subtract the mass of titanium
- 01:03:06from the mass of the metal oxide that
- 01:03:08would be 5.40 minus 3.24 and this is the
- 01:03:13mass of oxygen so now that we have the
- 01:03:16mass of oxygen what we need to
- 01:03:19do eventually we need
- 01:03:21to convert that mass in moles and then
- 01:03:25divide
- 01:03:27divided by the smallest number okay once
- 01:03:30we created the pseudo um empirical
- 01:03:33formula okay we divided by the smallest
- 01:03:35and then we can have the empirical
- 01:03:41formula so now we can calculate
- 01:03:43molecular formula four compounds from
- 01:03:45emperical formula and form from Mar
- 01:03:48masses so once we have the empirical
- 01:03:51formula we can um determine the M uh the
- 01:03:55molecular formul for that compound but
- 01:03:58we need to have the M Mass to do that so
- 01:04:01the molecular formula is always a whole
- 01:04:03number multiple of the empirical
- 01:04:05formula we need to find the n in the
- 01:04:09expression okay remember that the
- 01:04:11molecular formula is equal to the
- 01:04:13empirical formulas time n so we need
- 01:04:16this value of
- 01:04:18n we can find n in the expression of
- 01:04:23mass equal to the empirical formula mass
- 01:04:25time n n will be equal to the m mass
- 01:04:29divided by the empirical formula Mar
- 01:04:31Mass okay so if we have the empirical
- 01:04:34formula okay we can find out the molar
- 01:04:37mass of that empirical formula and
- 01:04:39somehow in the problem they must provide
- 01:04:42information about the marolar mass so we
- 01:04:44can divide the molar mass of the
- 01:04:47compound divided by the marar mass of
- 01:04:49the empirical formula and that will give
- 01:04:51us the N so we can multiply to the
- 01:04:54empirical formula and eventually have
- 01:04:56there the molecular formula for that
- 01:05:00compound so calculating the molecular
- 01:05:04formula for compounds in this going to
- 01:05:06do the example of
- 01:05:08fructose so find out the molecular
- 01:05:10formula for fructose with an with
- 01:05:12empirical formula ch2o and the molar
- 01:05:15mass is
- 01:05:1718.2 gram per mole okay so the molecular
- 01:05:21formula is a whole number multiple of
- 01:05:24the ch2o this is the empirical formula
- 01:05:27we need to calculate the N value okay so
- 01:05:30we can multiply that n value for each of
- 01:05:33the subsrate okay of this empirical
- 01:05:35formula to create the molecular formula
- 01:05:40for
- 01:05:43frose so for fructose the empirical
- 01:05:46formula mass will be 1 *
- 01:05:4912.01 + 2 * 1.01 + 16 because we have
- 01:05:54one carbon two hydrogen and one oxygen
- 01:05:57so we can see here see one carbon two
- 01:06:00hydrogen one oxygen so this is the we
- 01:06:03need to multiply one by the uh Mar mass
- 01:06:06of carbon two mol mass of hydrogen one M
- 01:06:09mass of oxygen so that's what we have
- 01:06:11here one M mass of carbon two M mass of
- 01:06:15hydrogen one the M mass of oxygen and
- 01:06:18this will be equal to
- 01:06:203.03 this is the m mass for the
- 01:06:23empirical formula and they give
- 01:06:26the um Mar mass for the compound so we
- 01:06:30will now we can divide the mar molecular
- 01:06:33mass Mar mass for the for fructose
- 01:06:36divided by the M mass for the veral
- 01:06:38formula and this will be equals to six
- 01:06:40so the N is equal to six so that means
- 01:06:44that we need to multiply each of the
- 01:06:45subsquare of the empirical formula for
- 01:06:48fructose times
- 01:06:50six so the empirical is CH H2O so will
- 01:06:54be 6 * 1 C6 C * 2 h12 6 * 1 o6 this now
- 01:07:02is the molecular formula of so from the
- 01:07:05empirical formula we can calculate the
- 01:07:08and or evaluate or find out the
- 01:07:12molecular formula of a
- 01:07:15compound so calculating molecular
- 01:07:17formulas for a compound use the marar
- 01:07:20mass which is given and the emperical
- 01:07:22formula Mar Mass which you can calculate
- 01:07:25okay by the empirical
- 01:07:28formula to determine the N that is the
- 01:07:31integer by which you must multiply the
- 01:07:33empirical formula to get the molecular
- 01:07:36formula then multiply the subsrate in
- 01:07:39the empirical formula by n to arrive to
- 01:07:43the molecular formula so this is how you
- 01:07:46can find out the molecular formula by
- 01:07:49using the empirical
- 01:07:52form so let's review our chapter six
- 01:07:56the mole concept the mole is a specific
- 01:07:58number 6.02 * 10 the^ 23r particles okay
- 01:08:03that allows us to easily count atoms or
- 01:08:06molecules by weighing them one mole of
- 01:08:09any element has a mass equivalent to its
- 01:08:11atomic mass in
- 01:08:14grams one mole of any compound has a
- 01:08:17mass equivalent to its formula mass in
- 01:08:20grams and the mass of one mole of an
- 01:08:23element or compound is its molar
- 01:08:27mass about the chemical formulas and
- 01:08:29chemical composition the chemical
- 01:08:31formulas indicate the relative number of
- 01:08:34each kind of element in a compound these
- 01:08:37numbers are based on atoms or
- 01:08:40moles by using the molar masses the
- 01:08:43information in the chemical formula can
- 01:08:44be used to determine determine the
- 01:08:48relative masses of each kind of element
- 01:08:50in a
- 01:08:51compound and total mass of a sample
- 01:08:56of a compound can be related to the
- 01:08:59masses of the constituent elements
- 01:09:01contained in the
- 01:09:02compound and finally the empirical and
- 01:09:05molecular formulas from Lab
- 01:09:07data we can refer to the relative masses
- 01:09:10of each kind of element within a
- 01:09:12compound to determine the empirical
- 01:09:15formula of the compound if the chemist
- 01:09:18also knows the molar mass of the
- 01:09:21compound he or she can also determine
- 01:09:24its molecular
- 01:09:27for and this will be all with chapter
- 01:09:30six chemical composition from the
- 01:09:33introductory Chemistry by Dr tro
- 01:09:41[Music]
- Chemistry
- Moles
- Chemical Composition
- Sodium
- CFCs
- Molar Mass
- Empirical Formula
- Molecular Formula
- Avogadro's Number
- Conversions