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Percent Composition and
Chemical Quantities Percent Composition and Empirical Formulas Copyright © by Pearson Education, Inc. Publishing as Benjamin Cummings
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Percent Composition Percent composition
Is the percent by mass of each element in a formula. Example: Calculate the percent composition of CO2. CO2 = 1 C(12.01g) + 2 O(16.00 g) = g/mol) 12.01 g C x = % C 44.01 g CO2 32.00 g O x = % O 44.01 g CO %
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CFU What is the percent composition of lactic acid, C3H6O3, a compound that appears in the blood after vigorous activity?
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Solution #1 STEP 1 3C(12.01) + 6H(1.008) + 3O(16.00) = 90.08 g/mol
36.03 g C g H g O STEP 2 %C = g C x 100 = 40.00% C 90.08 g %H = g H x 100 = 6.714% H %O = g O x 100 = % O
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CFU #2 The chemical isoamyl acetate C7H14O2 gives the odor of pears. What is the percent carbon in isoamyl acetate? 1) %C 2) %C 3) %C Copyright © by Pearson Education, Inc. Publishing as Benjamin Cummings
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Solution #2 3) 64.58 %C Molar mass C7H14O2 = 7C(12.01) + 14H(1.008)
+ 2O(16.00) = g/mol Total C = 7C(12.01) = g % C = total g C x 100 total g % C = g C x 100 = % C g
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Empirical Formulas The empirical formula
Is the simplest whole number ratio of the atoms. Is calculated by dividing the subscripts in the actual (molecular) formula by a whole number to give the lowest ratio. C5H10O5 5 = C1H2O1 = CH2O actual (molecular) empirical formula formula
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Some Molecular and Empirical Formulas
The molecular formula is the same or a multiple of the empirical. Table 6.3 Copyright © by Pearson Education, Inc. Publishing as Benjamin Cummings
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CFU #3 A. What is the empirical formula for C4H8? 1) C2H4 2) CH2 3) CH
B. What is the empirical formula for C8H14? 1) C4H7 2) C6H12 3) C8H14 C. Which is a possible molecular formula for CH2O? 1) C4H4O4 2) C2H4O ) C3H6O3
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Solution #3 A. What is the empirical formula for C4H8? 2) CH2 C4H8 4
B. What is the empirical formula for C8H14? 1) C4H7 C8H14 2 C. Which is a possible molecular formula for CH2O? 2) C2H4O ) C3H6O3
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CFU #4 A compound has an empirical formula SN. If there are 4 atoms of N in one molecule, what is the molecular formula? Explain. 1) SN 2) SN4 3) S4N4
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Solution #4 A compound has an empirical formula SN. If there are 4 atoms of N in one molecule, what is the molecular formula? Explain. 3) S4N4 In this molecular formula 4 atoms of N and 4 atoms of S and N are related 1:1. Thus, it has an empirical formula of SN.
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CFU #5 optional with %Comp
A compound contains 7.31 g Ni and 20.0 g Br. Calculate its empirical (simplest) formula.
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Solution #5 Convert 7.31 g Ni and 20.0 g Br to moles.
7.31 g Ni x 1 mol Ni = mol Ni 58.69 g Ni 20.0 g Br x 1 mol Br = mol Br 79.90 g Br Divide by smallest: 0.125 mol Ni = 1 Ni mol Br = 2 Br Write ratio as subscripts: NiBr2
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Converting Decimals to Whole Numbers
When the number of moles for an element is a decimal, all the moles are multiplied by a small integer to obtain whole number. Table 6.4 Copyright © by Pearson Education, Inc. Publishing as Benjamin Cummings
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CFU #6 Aspirin is 60.0% C, 4.5 % H and 35.5 % O. Calculate its empirical (simplest) formula.
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Solution #6 STEP 1. Calculate the moles of each element in 100 g.
100 g aspirin contains 60.0% C or 60.0 g C, 4.5% H or 4.5 g H, and 35.5% O or 35.5 g O. 60.0 g C x 1 mol C = mol C 12.01 g C 4.5 g H x 1 mol H = mol H 1.008 g H 35.5 g O x 1mol O = mol O 16.00 g O
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Solution #6 (continued)
STEP 2. Divide by the smallest number of mol. 5.00 mol C = mol C (decimal) 2.22 4.5 mol H = 2.0 mol H 2.22 mol O = mole O
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Solution #6 (continued)
3. Use the lowest whole number ratio as subscripts When the moles are not whole numbers, multiply by a factor to give whole numbers, in this case x 4. C: mol C x 4 = 9 mol C H: 2.0 mol H x 4 = 8 mol H O: mol O x 4 = 4 mol O Using these whole numbers as subscripts the simplest formula is C9H8O4
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