Question: 48: In one molal solution that contains 0.5 mole of a solute, there is
(1) 100 mL of solvent
(2) 1000 g of solvent
(3) 500 mL of solvent
(4) 500 g of solvent
Answer: Option (4)
Explanation:
Molality is defined as the number of moles of solute present in 1000 \, \text{g} of solvent.
For a one molal solution, 1 \, \text{mol} of solute is dissolved in 1000 \, \text{g} of solvent.
Here, the solution contains only 0.5 \, \text{mol} of solute.
Using the definition of molality, the mass of solvent required will be proportional to the number of moles of solute.
\text{Mass of solvent} = \frac{0.5}{1} \times 1000 \, \text{g} \text{Mass of solvent} = 500 \, \text{g}Therefore, the correct answer is 500 g of solvent.