Question

For the reaction \( \text{CO(g)} + \frac{1}{2} \text{O}_2 (g) \rightarrow \text{CO}_2 (g) \), \( K_c \) is

• A. \( \text{RT} \)
• B. \( \text{RT}^{-1} \)
• C. \( (\text{RT})^{1/2} \)
• D. \( (\text{RT})^{-1/2} \)

Hint:

For reactions involving gases, the equilibrium constant can depend on temperature, often involving powers of \( \text{RT} \).

Answer 1

The Correct Option is C

Step 1: Use the relation between the equilibrium constant and temperature.
For the given reaction, the equilibrium constant \( K_c \) has a temperature dependence that involves \( \text{RT} \), where \( R \) is the gas constant and \( T \) is the temperature in Kelvin.
Step 2: Conclusion.
The value of \( K_c \) for this reaction is \( (\text{RT})^{1/2} \). Final Answer: \[ \boxed{(\text{RT})^{1/2}} \]