STATEMENT-1: Molarity of pure water is 55.55 M at 298K.
STATEMENT-2 : Molarity is temperature dependent.

Options

A. If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT-1
B. If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT- is 1 TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To solve the problem, we will analyze both statements provided in the question step by step.

### Step 1: Analyze Statement 1
**Statement 1:** Molarity of pure water is 55.55 M at 298K.

- **Definition of Molarity:** Molarity (M) is defined as the number of moles of solute per liter of solution.

- **Calculating Molarity of Water:**
- **Density of Water:** The density of pure water is approximately 1 g/mL.
- **Volume of Water:** For 1 liter of water, the mass can be calculated as:
\[ \text{Mass} = \text{Density} \times \text{Volume} = 1 \, \text{g/mL} \times 1000 \, \text{mL} = 1000 \, \text{g} \]
- **Molecular Weight of Water (H₂O):** The molecular weight of water is approximately 18 g/mol.
- **Calculating Moles of Water:**
\[ \text{Moles of Water} = \frac{\text{Mass}}{\text{Molecular Weight}} = \frac{1000 \, \text{g}}{18 \, \text{g/mol}} \approx 55.55 \, \text{moles} \]
- **Calculating Molarity:**
\[ \text{Molarity} = \frac{\text{Moles of Water}}{\text{Volume of Solution in Liters}} = \frac{55.55 \, \text{moles}}{1 \, \text{L}} = 55.55 \, \text{M} \]

**Conclusion for Statement 1:** This statement is correct.

### Step 2: Analyze Statement 2
**Statement 2:** Molarity is temperature dependent.

- **Understanding Temperature Dependence:**
- Molarity depends on the volume of the solution, which can change with temperature due to thermal expansion or contraction.
- According to the ideal gas law, \( PV = nRT \), if the temperature (T) changes, the volume (V) of the solution can also change. Therefore, as the volume changes, the molarity (M) will also change.

**Conclusion for Statement 2:** This statement is also correct.

### Final Conclusion
Both statements are true:
- Statement 1 is true because the calculated molarity of pure water at 298K is indeed 55.55 M.
- Statement 2 is true because molarity is dependent on temperature due to the volume change with temperature.

However, Statement 2 does not explain Statement 1, as they address different aspects of molarity.

### Answer
Both statements are true, but Statement 2 is not the correct explanation of Statement 1.

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