Assertion: A one mole solution prepared at `20^(@)`C will retain the same molality at `100^(@)`C, provided there is no loss of solute or solvent on heating.
Reason: Molality is independent of temperature.

Options

A. Statement-I is true, Statement-II is true , Statement-II is correct explanation for Statement-I
B. Statement-I is true, Statement-II is true , Statement-II is `NOT` a correct explanation for statement-I
C. Statement-I is true, Statement-II is false
D. Statement-I is false, Statement-II is true

Answer

To analyze the assertion and reason provided in the question, we will break down the concepts of molality and its relationship with temperature.

### Step-by-Step Solution:

1. **Understanding Molality**:
- Molality (m) is defined as the number of moles of solute divided by the mass of solvent in kilograms.
- The formula for molality is given as:
\[ \text{Molality (m)} = \frac{\text{Number of moles of solute}}{\text{Mass of solvent (kg)}} \]

2. **Effect of Temperature on Molality**:
- Unlike molarity, which is affected by temperature due to changes in volume, molality is not affected by temperature because it is based on the mass of the solvent, which remains constant regardless of temperature changes.
- Therefore, molality is independent of temperature.

3. **Analyzing the Assertion**:
- The assertion states that a one mole solution prepared at \(20^\circ C\) will retain the same molality at \(100^\circ C\), provided there is no loss of solute or solvent.
- Since molality is defined based on the mass of the solvent and the number of moles of solute, and since neither the solute nor the solvent is lost, the molality will indeed remain the same at both temperatures.

4. **Analyzing the Reason**:
- The reason states that molality is independent of temperature, which is a true statement.
- Since molality does not change with temperature, this supports the assertion.

5. **Conclusion**:
- Both the assertion and the reason are true, and the reason correctly explains why the assertion is true.

### Final Answer:
Both the assertion and reason are true, and the reason correctly explains the assertion.

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