A : Increasing the concentration of `H_2` will increases
magnitude of equilibrium constant of the reaction
`H_2 +I_2 hArr 2HI`
R: Value of `K_c` depends upon the concentration of reactants and products taken.

Options

A. If both Assertion & Reason are true and the reason in the corret explanation of the assertion, then mark
B. If both assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark
C. If Assertion is true statement but Reason is false then mark
D. If both Assertion and Reason are false statements , then mark

Answer

To solve the given question, we need to analyze both the assertion (A) and the reason (R) regarding the equilibrium constant (Kc) for the reaction:

\[ H_2 + I_2 \rightleftharpoons 2HI \]

### Step 1: Understand the Assertion (A)
The assertion states that increasing the concentration of \( H_2 \) will increase the magnitude of the equilibrium constant \( K_c \).

**Analysis**: The equilibrium constant \( K_c \) for the reaction is given by:

\[ K_c = \frac{[HI]^2}{[H_2][I_2]} \]

Here, \( [HI] \), \( [H_2] \), and \( [I_2] \) are the concentrations of the products and reactants at equilibrium.

### Step 2: Effect of Concentration Change on \( K_c \)
When we increase the concentration of \( H_2 \), the reaction will shift according to Le Chatelier's principle to the right to produce more \( HI \). However, this does not change the value of \( K_c \) itself; it only affects the concentrations of the reactants and products until a new equilibrium is established.

**Conclusion**: The assertion is **false** because increasing \( H_2 \) does not increase the magnitude of \( K_c \).

### Step 3: Understand the Reason (R)
The reason states that the value of \( K_c \) depends upon the concentration of reactants and products taken.

**Analysis**: The equilibrium constant \( K_c \) is a fixed value at a given temperature and does not depend on the concentrations of reactants or products. It is derived from the concentrations at equilibrium, but changing the concentrations does not change \( K_c \).

**Conclusion**: The reason is also **false** because \( K_c \) does not depend on the concentrations of reactants and products.

### Final Conclusion
Both the assertion (A) and the reason (R) are false. Therefore, the correct answer is that both statements are false.

### Summary of Steps:
1. **Analyze the assertion**: Determine if increasing \( H_2 \) increases \( K_c \) (it does not).
2. **Analyze the reason**: Determine if \( K_c \) depends on concentrations (it does not).
3. **Conclude**: Both assertion and reason are false.