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Both molality and mole fraction are inde...

Both molality and mole fraction are independent of temperature.

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To determine whether the statement "Both molality and mole fraction are independent of temperature" is true or false, we need to analyze the definitions and properties of molality and mole fraction. ### Step-by-Step Solution: 1. **Understanding Molality**: - Molality (m) is defined as the number of moles of solute per kilogram of solvent. - The formula for molality is: \[ \text{Molality (m)} = \frac{\text{moles of solute}}{\text{mass of solvent (kg)}} \] - Since the mass of the solvent (in kg) does not change with temperature, molality remains constant regardless of temperature changes. 2. **Understanding Mole Fraction**: - Mole fraction (X) is defined as the ratio of the number of moles of a component to the total number of moles in the solution. - The formula for mole fraction is: \[ \text{Mole Fraction (X)} = \frac{\text{moles of solute}}{\text{total moles in solution}} \] - The total moles in the solution (which includes both solute and solvent) are also not directly affected by temperature changes. Therefore, mole fraction remains constant with temperature as long as the amounts of solute and solvent do not change. 3. **Conclusion**: - Both molality and mole fraction are independent of temperature because they rely on the amount of solute and solvent, which do not change with temperature. - Therefore, the statement "Both molality and mole fraction are independent of temperature" is **True**. ### Final Answer: True
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