For a reaction `N_(2) + 3H_(2)hArr2NH_(3)`, the value of `K_(c)` does not depend upon :
(A) Initial concentration of the reactants
(B) Pressure
(C) Temperature
(D) catalyst

Options

A. Only C
B. `A, B, C`
C. `A, B, D`
D. `A, B, C, D`

Explanation

To solve the question regarding the equilibrium constant \( K_c \) for the reaction \( N_2 + 3H_2 \rightleftharpoons 2NH_3 \), we need to analyze how \( K_c \) is influenced by different factors.

### Step-by-Step Solution:

1. **Understanding \( K_c \)**:
The equilibrium constant \( K_c \) is defined for a given reaction at a specific temperature. It is a ratio of the concentration of products to the concentration of reactants, each raised to the power of their coefficients in the balanced equation.

2. **Factors Affecting \( K_c \)**:
- **Initial Concentration of Reactants**: The value of \( K_c \) is derived from the concentrations of reactants and products at equilibrium. While changing the initial concentrations can shift the position of equilibrium, it does not change the value of \( K_c \) itself. Therefore, \( K_c \) does not depend on the initial concentration of reactants.

- **Pressure**: For reactions involving gases, changing the pressure can shift the position of equilibrium according to Le Chatelier's principle. However, the actual value of \( K_c \) remains unchanged. Thus, \( K_c \) does not depend on pressure.

- **Temperature**: The value of \( K_c \) is temperature-dependent. According to the Van 't Hoff equation, a change in temperature will change the equilibrium constant. Therefore, \( K_c \) does depend on temperature.

- **Catalyst**: A catalyst speeds up the rate at which equilibrium is reached but does not affect the position of equilibrium or the value of \( K_c \). Thus, \( K_c \) does not depend on the presence of a catalyst.

3. **Conclusion**:
From the analysis, we can conclude that \( K_c \) does not depend on:
- (A) Initial concentration of the reactants
- (B) Pressure
- (D) Catalyst

However, it does depend on (C) Temperature. Therefore, the correct answer is that \( K_c \) does not depend on options A, B, and D.

### Final Answer:
The value of \( K_c \) does not depend upon:
- (A) Initial concentration of the reactants
- (B) Pressure
- (D) Catalyst