Answers for Practice Test #1: Molar Mass, Percent Composition, Hydrates, Moles, and Empirical and Molecular Formulas Answers 1. a 2. d 3. a 4. a 5. d 6. d 7. b 8. c 9. c 10. c 1. What is the molar mass of cryolite, Na3AlF6? Round to four significant digits. Na 3·22.99 = 68.97 Al 1·26.98 = 26.98 F 6·19.00 = 114 209.95 g/mol ≈ 210.0 g/mol 2. Nitric acid contains what percent hydrogen by mass? HNO3 H 1·1.01 = 1.01 N 1·14.0 = 14.0 O 3·16.0 = 48.0 63.01 g/mol 1.01 ·100 = 1.60% H 63.01 3. Adipic acid contains 49.32% carbon, 6.85 % hydrogen and 43.84% oxygen by mass. What is the empirical formula? 1 mol C 49.32 g C = 4.107 mol C = 1.5 C ·2 = 3 C 12.01 g C 2.740mol 1 mol H 1.01 g H 6.85 g H = 6.78 mol H 2.740 mol 1 mol O 43.84 g O 16.00 g O = 2.740 mol O 2.740 mol = 2.5 H ·2 = 5 H = 1 O ·2 = 2 O Empirical formula is C3H5O2 4. Vivianite is a hydrate of iron (II) phosphate that contains 28.72% water. What is the coefficient of water in the hydrate? Fe3(PO4)2 x H2O 18.0x ·100 = 28.72% 357.4+ 18.0x Fe 3·55.8 = 167.4 18.0x 357.4+ 18.0x P 2·31.0 = 62.0 18.0x = 0.2872(357.4 + 18.0x) O 8·16.0 = 128 18.0x = 102.6 + 5.170x H2O x·18.0 = 18.0x 357.4 + 18.0x g/mol = 0.2872 12.83x = 102.6 x=8 Fe3(PO4)2 8 H2O 5. What is the molar mass of fluorapatite, Ca5(PO4)3F? Ca 5·40.1 = 200.5 P 3·31.0 = 93.0 O 12·16.0 = 192 F 1·19.0 = 19.0 504.5 g/mol 6. Vitamin C contains 40.90% carbon, 4.58% hydrogen, and 54.52% oxygen. The molecular mass of vitamin C is 180. g/mol. The molecular formula for vitamin C is: 1 mol C 40.90 g C = 3.405 mol C 12.01 g C 3.408 mol 1 mol H 1.01 g H 4.58g H = 4.53 mol H 3.408 mol 1 mol O 54.52 g O 16.00 g O = 3.408 mol O 3.408 mol = 1 C ·3 = 3 C = 1.3 H ·3 = 4 H = 1 O ·3 = 3 O Empirical formula is C3H4O3 MM = 88.0 g/mol 180. g/mol = 2 88.0 g/mol Molecular formula is C6H8O6 7. The empirical formula of styrene is CH. Its molecular mass is 104.1 g/mol. What is the molecular formula of styrene? Empirical formula is CH 104.1 g/mol = 8 13.0 g/mol Molecular formula is C8H8 MM = 13.0 g/mol 8. Roundup, a herbicide manufactured by Monsanto, has the formula C3H8NO5P. How many hydrogen atoms are in 74.2 grams of roundup? 8H atoms 6.022 x 1023 molecules C3H8NO5P 1 mole 74.2 g C3H8NO5P C3H8NO5P 1 molecule 1 mole 169 g C3H8NO5P C3H8NO5P C3H8NO5P = 2.12 x 1024 H atoms 9. Iodous acid contains what percent oxygen by mass? HIO2 H 1·1.01 = 1.01 I 1·127 = 127 O 2·16.0 = 32.0 160.01 g/mol 32.0 ·100 = 20.00% O 160.01 10. How many oxygen atoms are in 23.8 grams of iron (III) oxalate? 12 “O” atoms 6.022 x 1023 molecules Fe2(C2O4)3 1 mole 23.8 g Fe2(C2O4)3 Fe2(C2O4)3 1 molecule 1 mole 376 g Fe2(C2O4)3 Fe2(C2O4)3 Fe2(C2O4)3 = 4.57 x 1023 O atoms
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