How many grams of NaCl are in 0.250 L of a 5.30 M solution, given a molar mass of 58.44 g/mol?
A23.2 g
B1.33 g
C310 g
D77.4 g
Answer & Solution
Correct answer: D. 77.4 g
1. Start from the amount of solute: moles = molarity x litres.
2. That gives 5.30 mol/L x 0.250 L = 1.325 mol of NaCl.
3. Keep the trailing 5 as a guard digit rather than rounding to 1.32 mol at this stage.
4. Convert the amount to a mass: 1.325 mol x 58.44 g/mol.
5. The product is 77.4 g of NaCl.
6. Units cancel, since mol multiplied by g/mol leaves grams.
7. Rounding the intermediate to 1.32 mol first gives 77.1 g, which is the trap this calculation sets.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.3 Molarity_
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