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CUET · CHEMISTRY · PYQ PAPER 2025

The molality of a solution prepared by dissolving \(4 . 0 ~ g ~ N a O H\) in \(1 0 0 0 ~ m L\) distilled water is _________ (Assume that the density of water is \(1 g mL ^{-1}\) )

  1. A \(0.001 \text{ mol } kg^{-1}\)
  2. B \(1.0 \text{ mol } kg^{-1}\)
  3. C \(0.1 \text{ mol } L^{-1}\)
  4. D \(0.1 \text{ mol } kg^{-1}\)
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Answer & Solution

Correct Answer

(D) \(0.1 \text{ mol } kg^{-1}\)

Step-by-step Solution

Detailed explanation

\( \text{Moles of NaOH} = \frac{4.0 \text{ g}}{40 \text{ g/mol}} = 0.1 \text{ mol} \) \( \text{Mass of water} = 1000 \text{ mL} \times 1 \text{ g/mL} = 1000 \text{ g} = 1 \text{ kg} \) \( \text{Molality} = \frac{0.1 \text{ mol}}{1 \text{ kg}} = 0.1 \text{ mol } kg^{-1} \)
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