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The molarity of an aqueous solution containing 0.4g of NaOH (molar mass=40g/mol) in 250mL of a solution is

  • A.0.04M
  • B.0.02M
  • C.0.20M
  • D.0.40M
  • E.0.08M

Answer: A

The molarity is 0.04 M.

Molarity is moles of solute per litre of solution.

\[ \begin{aligned} n &= \frac{0.4\ \text{g}}{40\ \text{g mol}^{-1}} = 0.01\ \text{mol} \\ M &= \frac{0.01\ \text{mol}}{0.250\ \text{L}} = 0.04\ \text{M} \end{aligned} \]

The other values come from slips with the volume: putting 0.01 mol in 0.025 L (a misplaced decimal) gives 0.40 M, and halving or doubling the 0.25 L gives 0.08 M or 0.02 M.

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