Statement 1: `CuSO_(4).5H_(2)O(s)hArrCuSO_(4).3H_(2)O(s)+2H_(2)O(g).` For this equlibrium partial pressure of `H_(2)O(g)` increases continously with increasing volume.
Statement 2: Vapour pressure depends only on temperarture.

Options

A. Statement 1 is true, stetement 2 is true, statement 2 is a correct explanation for statement 3
B. Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 3
C. Statement 1 is true, statement 2 is false
D. Statement 1 is false, statement 2 is true

Explanation

To solve the problem, we need to analyze the two statements provided regarding the equilibrium reaction of copper sulfate pentahydrate (CuSO4·5H2O) decomposing into copper sulfate trihydrate (CuSO4·3H2O) and water vapor (H2O(g)).

### Step-by-Step Solution:

1. **Understanding the Reaction**:
The reaction is given as:
\[ \text{CuSO}_4\cdot 5\text{H}_2\text{O}(s) \rightleftharpoons \text{CuSO}_4\cdot 3\text{H}_2\text{O}(s) + 2\text{H}_2\text{O}(g) \]
This indicates that solid copper sulfate pentahydrate decomposes into another solid form (copper sulfate trihydrate) and releases water vapor.

2. **Analyzing Statement 1**:
- The statement claims that the partial pressure of \( \text{H}_2\text{O}(g) \) increases continuously with increasing volume.
- According to the principles of chemical equilibrium, the partial pressure of a gas at equilibrium is determined by the equilibrium constant (Kp) and is not affected by changes in volume once equilibrium is established.
- Therefore, if the volume increases, the partial pressure of \( \text{H}_2\text{O}(g) \) does not continuously increase; instead, it will remain constant at equilibrium for a given temperature.

3. **Analyzing Statement 2**:
- This statement asserts that vapor pressure depends only on temperature.
- This is correct; the vapor pressure of a substance is a function of temperature and is independent of the volume of the container.
- Therefore, the vapor pressure of \( \text{H}_2\text{O}(g) \) will only change with temperature, not with volume.

4. **Conclusion**:
- Statement 1 is incorrect because the partial pressure of \( \text{H}_2\text{O}(g) \) does not increase continuously with increasing volume.
- Statement 2 is correct as vapor pressure is indeed dependent only on temperature.

### Final Answer:
- Statement 1: False
- Statement 2: True