Question

For the reaction \[ 2\text{NO}_2(g) \rightarrow 2\text{NO}(g) + \text{O}_2(g); K_c = 1.8 \times 10^{-4} \text{at } 184^\circ C \] When \( K_p \) and \( K_c \) are compared at 184°C, it is found that

• A. Whether \( K_p \) is greater than, less than or equal to \( K_c \) depends upon the total gas pressure
• B. \( K_p = K_c \)
• C. \( K_p \) is less than \( K_c \)
• D. \( K_p \) is greater than \( K_c \)

Hint:

The value of \( K_p \) depends on the total gas pressure, temperature, and the number of moles of gases involved in the reaction.

Answer 1

The Correct Option is A

Step 1: Understand the relationship between \( K_p \) and \( K_c \).
The relation between \( K_p \) and \( K_c \) is given by: \[ K_p = K_c \left( RT \right)^{\Delta n} \] where \( \Delta n \) is the change in the number of moles of gas, and \( R \) is the gas constant.
Step 2: Conclusion.
Thus, the value of \( K_p \) depends on the total gas pressure and the change in the number of moles.
Final Answer: \[ \boxed{\text{Whether } K_p \text{ is greater than, less than or equal to } K_c \text{ depends upon the total gas pressure.}} \]