Question:
Mole fraction of solute in its 2 molal aqueous solution is
Mole fraction of solute in its 2 molal aqueous solution is
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Mole fraction is a ratio of the number of moles of solute to the total number of moles of solute and solvent.
Updated On: Jan 30, 2026
- 28.775
- 0.034
- 0.054
- 0.018
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The Correct Option is B
Solution and Explanation
Step 1: Understanding mole fraction.
Mole fraction is calculated using the formula: \[ \text{Mole fraction of solute} = \frac{\text{moles of solute}}{\text{moles of solute} + \text{moles of solvent}} \] For a 2 molal solution, the molality is 2 moles of solute per 1 kg of solvent. Assuming the density of water is 1 g/mL, 1 kg of water corresponds to 55.5 moles. Thus, the mole fraction of solute can be calculated.
Step 2: Applying the formula.
\[ \text{Mole fraction of solute} = \frac{2}{2 + 55.5} = 0.034 \]
Step 3: Conclusion.
The correct answer is (B) 0.034, which is the mole fraction of solute.
Mole fraction is calculated using the formula: \[ \text{Mole fraction of solute} = \frac{\text{moles of solute}}{\text{moles of solute} + \text{moles of solvent}} \] For a 2 molal solution, the molality is 2 moles of solute per 1 kg of solvent. Assuming the density of water is 1 g/mL, 1 kg of water corresponds to 55.5 moles. Thus, the mole fraction of solute can be calculated.
Step 2: Applying the formula.
\[ \text{Mole fraction of solute} = \frac{2}{2 + 55.5} = 0.034 \]
Step 3: Conclusion.
The correct answer is (B) 0.034, which is the mole fraction of solute.
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