Empirical Formulas: Determining the Simplest Whole Number Ratio of Atoms in a Compound, Exercises of Chemistry

Ethane's molecular formula molecular formula is C2H6 ... Divide by the molar mass of each. Divide by the molar mass ... 0.0998. The empirical formula is CaBr2.

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Empirical FormulasEmpirical Formulas
Chapter 7Chapter 7--4, p. 229 4, p. 229 -- 231231
Empirical FormulaEmpirical Formula
Defined as:Defined as:
the symbols for the elements the symbols for the elements
combined in a chemical compound, combined in a chemical compound,
with subscripts showing with subscripts showing the smallest the smallest
whole number mole ratiowhole number mole ratio of the of the
different atoms in the compound.different atoms in the compound.
ExampleExample
CC22HH6 6 = = dicarbondicarbon hexahydridehexahydride (ethane)(ethane)
has an has an empirical formulaempirical formula of CHof CH33
(notice the common multiple is 2, (notice the common multiple is 2,
which you use to divide to get the which you use to divide to get the
smallest whole number ratio)smallest whole number ratio)
Ethane’s Ethane’s molecular formulamolecular formula is is CC22HH66
Determining Empirical Formula Determining Empirical Formula
from Percent Compositionfrom Percent Composition
1.1.Assume you have 100.00 g of the Assume you have 100.00 g of the
compound.compound.
2.2.Use the number in percent of each Use the number in percent of each
element and change it to grams. For element and change it to grams. For
example, the percent oxygen in NaOH example, the percent oxygen in NaOH
is 32.6%. If you have a 100.00 g is 32.6%. If you have a 100.00 g
sample of NaOH, 32.6 g of it is oxygen.sample of NaOH, 32.6 g of it is oxygen.
3.3.Divide by the molar mass of each Divide by the molar mass of each
element from the periodic table.element from the periodic table.
4.4.Compare the mole ratios by dividing Compare the mole ratios by dividing
all values by the smallest mole value.all values by the smallest mole value.
ExampleExample
A compound is 32.38% Na, 22.65% S A compound is 32.38% Na, 22.65% S
and 44.99% O. Determine the and 44.99% O. Determine the
empirical formula.empirical formula.
32.38 g Na 1 mol Na = 1.408 mol Na32.38 g Na 1 mol Na = 1.408 mol Na
22.99 g Na22.99 g Na
22.65 g S 1 mol S = 0.7063 mol S22.65 g S 1 mol S = 0.7063 mol S
32.07 g S32.07 g S
44.99 g O 1 mol O = 2.812 mol O44.99 g O 1 mol O = 2.812 mol O
16.00 g O16.00 g O
Which molar value is the smallest?Which molar value is the smallest?
ExampleExample
A compound is 32.38% Na, 22.65% S A compound is 32.38% Na, 22.65% S
and 44.99% O. Determine the and 44.99% O. Determine the
empirical formula.empirical formula.
1.408 mol Na1.408 mol Na = 1.993 mol Na = 2 Na= 1.993 mol Na = 2 Na
0.70630.7063
0.7063 mol S0.7063 mol S = 1.000 mol S = 1 S= 1.000 mol S = 1 S
0.70630.7063
2.812 mol O 2.812 mol O = 3.981 mol O = 4 O= 3.981 mol O = 4 O
0.70630.7063
The empirical formula is NaThe empirical formula is Na22SOSO44
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Download Empirical Formulas: Determining the Simplest Whole Number Ratio of Atoms in a Compound and more Exercises Chemistry in PDF only on Docsity!

Empirical FormulasEmpirical Formulas

Chapter 7Chapter 7--4, p. 2294, p. 229 -- 231 231

Empirical FormulaEmpirical Formula

  • • Defined as:Defined as: the symbols for the elementsthe symbols for the elements combined in a chemical compound,combined in a chemical compound, with subscripts showingwith subscripts showing the smallestthe smallest whole number mole ratiowhole number mole ratio of theof the different atoms in the compound.different atoms in the compound.

ExampleExample

CC 22 HH 66 == dicarbondicarbon hexahydridehexahydride (ethane)(ethane) has anhas an empirical formulaempirical formula of CHof CH 33 (notice the common multiple is 2,(notice the common multiple is 2, which you use to divide to get thewhich you use to divide to get the smallest whole number ratio)smallest whole number ratio)

Ethane’sEthane’s molecular formulamolecular formula isis CC 22 HH 66

Determining Empirical FormulaDetermining Empirical Formula from Percent Compositionfrom Percent Composition 1.1.Assume you have 100.00 g of theAssume you have 100.00 g of the compound.compound. 2.2.Use the number in percent of eachUse the number in percent of each element and change it to grams. Forelement and change it to grams. For example, the percent oxygen in NaOHexample, the percent oxygen in NaOH is 32.6%.is 32.6%. If you have a 100.00 gIf you have a 100.00 g sample of NaOH, 32.6 g of it is oxygen.sample of NaOH, 32.6 g of it is oxygen. 3.3.Divide by the molar mass of eachDivide by the molar mass of each element from the periodic table.element from the periodic table. 4.4.Compare the mole ratios by dividingCompare the mole ratios by dividing all values by the smallest mole value.all values by the smallest mole value.

ExampleExample

A compound is 32.38% Na, 22.65% SA compound is 32.38% Na, 22.65% S and 44.99% O.and 44.99% O. Determine theDetermine the empirical formula.empirical formula. 32.38 g Na32.38 g Na 1 mol Na = 1.408 mol Na1 mol Na = 1.408 mol Na 22.99 g Na22.99 g Na 22.65 g S22.65 g S 1 mol S1 mol S = 0.7063 mol S= 0.7063 mol S 32.07 g S32.07 g S 44.99 g O44.99 g O 1 mol O1 mol O = 2.812 mol O= 2.812 mol O 16.00 g O16.00 g O Which molar value is the smallest?Which molar value is the smallest?

ExampleExample

A compound is 32.38% Na, 22.65% SA compound is 32.38% Na, 22.65% S and 44.99% O.and 44.99% O. Determine theDetermine the empirical formula.empirical formula. 1.408 mol Na1.408 mol Na = 1.993 mol Na= 1.993 mol Na == 2 Na2 Na 0.70630. 0.7063 mol S0.7063 mol S == 1.000 mol S1.000 mol S == 1 S1 S 0.70630. 2.812 mol O2.812 mol O == 3.981 mol O3.981 mol O == 4 O4 O 0.70630.

The empirical formula is NaThe empirical formula is Na 22 SOSO 44

You Try It!You Try It!

A compound is found to containA compound is found to contain 63.52% iron and 36.48% sulfur.63.52% iron and 36.48% sulfur. Find its empirical formula.Find its empirical formula.

You Try It! SolutionYou Try It! Solution A compound is found to containA compound is found to contain 63.52% iron and 36.48% sulfur.63.52% iron and 36.48% sulfur. Find its empirical formula.Find its empirical formula. 63.52 g Fe63.52 g Fe 1 mol Fe1 mol Fe = 1.137 mol Fe= 1.137 mol Fe 55.85 g Fe55.85 g Fe 36.48 g S36.48 g S 1 mol S1 mol S = 1.138 mol S= 1.138 mol S 32.07 g S32.07 g S Which molar value is the smallest?Which molar value is the smallest? 1.137 mol Fe = 1 Fe1.137 mol Fe = 1 Fe 1.138 mol S = 1 S1.138 mol S = 1 S 1.1371.137 1.1371.

Determining Empirical FormulaDetermining Empirical Formula from Massfrom Mass 1.1.Convert the mass of each element toConvert the mass of each element to moles by dividing by its molar massmoles by dividing by its molar mass from the periodic table.from the periodic table. 2.2.Compare the mole ratios by dividingCompare the mole ratios by dividing all values by the smallest mole value.all values by the smallest mole value.

ExampleExample A sample of a compound containingA sample of a compound containing only phosphorus and oxygen has aonly phosphorus and oxygen has a mass of 10.150 g. The phosphorusmass of 10.150 g. The phosphorus content is 4.433 g.content is 4.433 g. Find theFind the empirical formula.empirical formula. 10.150 g Total10.150 g Total –– 4.433 g P = 5.717 g O4.433 g P = 5.717 g O 4.433 g P4.433 g P 1 mol P1 mol P = 0.1431 mol P= 0.1431 mol P 30.97 g P30.97 g P 5.717 g O5.717 g O 1 mol O1 mol O = 0.3573 mol O= 0.3573 mol O 16.00 g O16.00 g O Which molar value is the smallest?Which molar value is the smallest?

ExampleExample A sample of a compound containingA sample of a compound containing only phosphorus and oxygen has aonly phosphorus and oxygen has a mass of 10.150 g. The phosphorusmass of 10.150 g. The phosphorus content is 4.433 g.content is 4.433 g. Find theFind the empirical formula.empirical formula.

0.1431 mol P0.1431 mol P == 1.000 mol P1.000 mol P == 1 P1 P 0.14310. 0.3573 mol O0.3573 mol O == 2.497 mol O2.497 mol O == 2.5 O2.5 O 0.14310.

Uh Oh…Uh Oh… can you have 2.5 atoms?can you have 2.5 atoms?

No Worries!No Worries!

Multiply both molar values by 2…Multiply both molar values by 2… youyou will get a whole number…will get a whole number…

2 (1 P)2 (1 P) == 2 P2 P

2 (2.5 O) = 5 O2 (2.5 O) = 5 O

The empirical formula is PThe empirical formula is P 22 OO 55