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AP Chemistry Chemistry — practice by topic

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To count atoms easily, how can the formula of calcium phosphate, Ca3(PO4)2, be rewritten in a simpler format?

  1. Ca3PO4
  2. Ca3P2O8
  3. Ca3P2O12
  4. Ca2P3O8
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Correct answer: B. Ca3P2O8

1. The bracket subscript 2 multiplies everything inside the parentheses. 2. Two phosphate groups give 2 phosphorus atoms and 2 x 4 = 8 oxygen atoms. 3. With the 3 calcium atoms the simple format is Ca3P2O8. 4. Reading the bracket contents only once gives Ca3PO4, which loses a whole phosphate group. _Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.1 Formula Mass and the Mole Concept_

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Calcium phosphate, Ca3(PO4)2, has a formula mass of 310.18 amu. What is the mass of 0.500 mol of calcium phosphate?

  1. 31.02 g
  2. 310.2 g
  3. 620.4 g
  4. 155.1 g
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Correct answer: D. 155.1 g

1. A formula mass of 310.18 amu means a molar mass of 310.18 g/mol, since the two are numerically equal. 2. Mass equals moles multiplied by molar mass. 3. Substituting gives 0.500 mol x 310.18 g/mol = 155.1 g. 4. Units check: mol x g/mol leaves grams. 5. The value 310.2 g ignores that only half a mole is present, and 620.4 g divides by 0.500 instead of multiplying. _Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.1 Formula Mass and the Mole Concept_

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What is the mass of 0.443 mol of hydrazine, N2H4? Use N = 14.007 and H = 1.008 g/mol.

  1. 14.2 g
  2. 12.4 g
  3. 1.42 g
  4. 0.0138 g
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Correct answer: A. 14.2 g

1. Build the molar mass first: nitrogen contributes 2 x 14.007 = 28.014 g/mol. 2. Hydrogen contributes 4 x 1.008 = 4.032 g/mol, so the molar mass is 32.05 g/mol. 3. Mass equals moles times molar mass: 0.443 mol x 32.05 g/mol = 14.2 g. 4. The value 12.4 g uses only the nitrogen part of the molar mass, dropping the four hydrogen atoms. 5. The value 0.0138 g divides the moles by the molar mass instead of multiplying. _Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.1 Formula Mass and the Mole Concept_

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