On doubling P and V at constant temperature, the equilibrium constant will

Options

A. Remain constant
B. Become double
C. Become one-fourth
D. None of these

Explanation

To solve the question regarding the effect of doubling pressure (P) and volume (V) at constant temperature on the equilibrium constant (K), we can follow these steps:

### Step 1: Understand the Equilibrium Constant
The equilibrium constant (K) for a reaction is defined as the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their coefficients in the balanced equation.

### Step 2: Identify the Factors Affecting K
The equilibrium constant is dependent solely on temperature. It does not change with changes in pressure, volume, or concentration of reactants and products, provided the temperature remains constant.

### Step 3: Analyze the Given Conditions
In this question, we are told that both pressure and volume are doubled while maintaining a constant temperature. Since K is only dependent on temperature, any changes to pressure and volume will not affect the value of K.

### Step 4: Conclusion
Since the temperature is constant, the equilibrium constant (K) will remain unchanged despite the changes in pressure and volume. Therefore, the correct answer is that the equilibrium constant will remain constant.

### Final Answer
The equilibrium constant will remain constant.

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