Molarity of a solution changes with temperature but molality does not.

Answer

To determine whether the statement "Molarity of a solution changes with temperature but molality does not" is correct or wrong, we need to analyze the definitions and properties of molarity and molality.

### Step-by-Step Solution:

1. **Define Molarity**:
- Molarity (M) is defined as the number of moles of solute per liter of solution.
- Formula:
\[ \text{Molarity (M)} = \frac{\text{Number of moles of solute}}{\text{Volume of solution in liters}} \]

2. **Define Molality**:
- Molality (m) is defined as the number of moles of solute per kilogram of solvent.
- Formula:
\[ \text{Molality (m)} = \frac{\text{Number of moles of solute}}{\text{Mass of solvent in kilograms}} \]

3. **Effect of Temperature on Molarity**:
- As temperature increases, the kinetic energy of molecules increases, causing the volume of the solution to expand.
- Since molarity is dependent on the volume of the solution, an increase in temperature (and thus volume) will lead to a decrease in molarity if the number of moles of solute remains constant.

4. **Effect of Temperature on Molality**:
- Molality is based on the mass of the solvent, which does not change with temperature.
- Therefore, regardless of temperature changes, the number of moles of solute and the mass of solvent remain constant, meaning molality does not change with temperature.

5. **Conclusion**:
- The statement "Molarity of a solution changes with temperature but molality does not" is **correct**. Molarity is volume-dependent and changes with temperature, while molality is mass-dependent and remains constant with temperature changes.

### Final Answer:
The statement is **correct**.