Question

At \(450\,K\), for the reaction \[ 2SO_2(g)+O_2(g)\rightleftharpoons 2SO_3(g), \] the value of \[ K_p=2.0\times10^{10}. \] What is the value of \(K_c\) for the decomposition of sulphur trioxide at the same temperature? \[ R=0.083\ \text{L bar mol}^{-1}\text{K}^{-1} \]

• A. \[ 7.47\times10^{11} \]
• B. \[ 1.34\times10^{-12} \]
• C. \[ 7.47\times10^{-12} \]
• D. \[ 1.34\times10^{12} \]

Hint:

Remember: \[ K_p=K_c(RT)^{\Delta n} \] and for a reverse reaction, \[ K_{\text{reverse}} = \frac{1}{K_{\text{forward}}}. \] Always calculate \(\Delta n\) using gaseous species only.

Answer 1

The Correct Option is B