mole calculations. the mole mole – measurement of the amount of a substance. –we know the amount...
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Mole Calculations
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The Mole
• Mole – measurement of the amount of a substance.– We know the amount of different
substances in one mole of that substance.
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Atomic Mass Unit
• Mass of 1 mole of compound• Found by adding the atomic weights
of each atom of each element that makes up a compound.
• H2O
• There are 2 atoms of hydrogen and 1 atom of oxygen.
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AMU
• H = 2 x 1.01 = 2.02• O = 1 x 16 = 16 _____
18.02 = amu
1 mole of any substance = the amu of that substance
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AMU
• Molar mass = the sum of the molar masses of atoms of the elements in the formula
• Calculated the same way
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The Mole
• One mole of any substance has Avogadro’s number.
• 6.022 x 1023 atoms, molecules, ions
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The Mole
• For gases only – 1 mole of a gas occupies 22.4 L
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Converting Between Units
amu 1 mole 6.022 x 1023 atoms, mlc, ions
(expressed in grams)
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Conversions
• Change 5.0 grams of sodium chloride to moles of sodium chloride.
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• Change 0.45 moles of barium chlorate to grams of barium chlorate.
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• Determine the number of atoms in 15 grams of water.
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Empirical Formulas
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Empirical Formulas
• The simplest whole number ratio of moles of each element in the compound.
• H2O
• NaCl
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Empirical Formulas
• Usually given in percentages of each element in the compound.
• Based on 100% of the compound.• Can be compared to a 100 gram
sample of the substance.
• 11.2% Hydrogen• 88.8% Oxygen
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• 1. Change percents to grams
11.2% H = 11.2 g H88.8% O = 88.8 g O
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• 2. Convert grams to moles. (We know an empirical formula is the lowest whole number ratio of moles)
11.2 g H | 1 mol = 11.089 mol | 1.01 g
88.8g O | 1 mol = 5.550 mol | 16 g
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Cannot have decimals, the numbers must be whole numbers. Divide by the lowest.
11.2 g H | 1 mol = 11.089 mol / 5.550 = 2 | 1.01 g
88.8g O | 1 mol = 5.550 mol / 5.550 = 1 | 16 g
• H2O = empirical formula
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• 36.84% N• 63.16% O
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• 35.98% Al• 64.02% S
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Molecular Formula
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• Specifies the actual number of atoms of each element in one molecule or formula unit of the substance.
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• The molar mass of acetylene is 26.04 g/mol and the mass of the empirical formula, CH, is 13.02 g/mol
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• 1. The problem will give you a molar mass of the compound.
• 2. Calculate the empirical formula as usual.
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• 40.68% carbon• 5.08% hydrogen• 54.24% oxygen
• Molar mass = 118.1 g/mol
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• Change % to grams
• 40.68 g C | 1 mol = 3.387 mol | 12.01 g
• 5.08 g H | 1 mol = 5.030 mol| 1.01 g
• 54.24 g O | 1 mol = 3.390 mol | 16 g
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• 3.387 mol / 3.387 mol = 1 x2 = 2• 5.030 mol / 3.387 mol = 1.5 x2 = 3• 3.390 mol / 3.387 mol = 1 x2 = 2
• Empirical Formula = C2H3O2
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• To find the molecular formula:
• (EFamu)x = MM (molar mass)
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• C2H3O2 = 59.05 = amu
• (59.05)x = 118.1• X = 2
• (EF)x2 = (C2H3O2)x2 = C4H6O4
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• 65.45% C• 5.45% H• 29.09% O
• MM = 110.0 g/mol
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• 49.98 g C• 10.47 g H
• MM = 58.12 g/mol
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• 46.68% N• 53.32% O
• MM = 60.01 g/mol