What volume of 0.839 M vinegar contains 75.6 g of acetic acid, molar mass 60.05 g/mol?
A1.06 L
B0.667 L
C3.81 L
D1.50 L
Answer & Solution
Correct answer: D. 1.50 L
1. First convert the mass of solute into an amount using the molar mass.
2. That gives 75.6 g / 60.05 g/mol = 1.2590 mol of acetic acid.
3. Then use the molarity to convert the amount into a volume of solution.
4. That gives 1.2590 mol / 0.839 mol per litre.
5. The volume is 1.50 L of solution.
6. Combining both conversions into a single step avoids rounding the intermediate mole count.
7. The value 1.06 L multiplies by the molarity instead of dividing by it.
8. The value 3.81 L divides by the molarity twice over, once at each stage.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.3 Molarity_
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