STATEMENT-1 : Molality and mole fraction are temperature independent quantity.
and
STATEMENT-2 : Molality and mole fraction are unit less quantity.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-5
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-5
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the question, we need to analyze both statements regarding molality and mole fraction.

### Step-by-Step Solution:

**Step 1: Analyze Statement 1**
- **Statement 1**: "Molality and mole fraction are temperature independent quantities."
- **Explanation**:
- Molality (m) is defined as the number of moles of solute per kilogram of solvent. Its formula is:
\[ \text{Molality} = \frac{\text{moles of solute}}{\text{mass of solvent in kg}} \]
- This definition does not involve temperature, meaning that molality does not change with temperature.
- Mole fraction (X) is defined as the ratio of the number of moles of a component to the total number of moles of all components in the mixture. Its formula is:
\[ \text{Mole Fraction} = \frac{\text{moles of component}}{\text{total moles of all components}} \]
- This also does not depend on temperature.
- **Conclusion**: Statement 1 is **True**.

**Step 2: Analyze Statement 2**
- **Statement 2**: "Molality and mole fraction are unitless quantities."
- **Explanation**:
- Mole fraction is indeed a unitless quantity because it is a ratio of two quantities (moles), which cancels out the units.
- However, molality has a unit, which is moles per kilogram (mol/kg). Therefore, it is not unitless.
- **Conclusion**: Statement 2 is **False**.

### Final Conclusion:
- **Statement 1** is **True**.
- **Statement 2** is **False**.

### Answer:
The correct option is: Statement 1 is true, Statement 2 is false.

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