Question

In the reaction \( \frac{3}{2}O_2(g) \rightarrow O_3(g) \), the value of \( \Delta_r G^\circ \) at \( 298\,K \) is approximately ( \( K_p = 10^{-30},\ 2.303RT = 5.7\,\text{kJ mol}^{-1} \) )

• A. \(171\,\text{kJ mol}^{-1} \)
• B. \(191\,\text{kJ mol}^{-1} \)
• C. \(-171\,\text{kJ mol}^{-1} \)
• D. \(-191\,\text{kJ mol}^{-1} \)
• E. \(100\,\text{kJ mol}^{-1} \)

Hint:

\(\log 10^{-n} = -n\)

Answer 1

The Correct Option is A

Concept: \[ \Delta G^\circ = -2.303RT \log K_p \]

Step 1: Substitute.
\[ \Delta G^\circ = -5.7 \log(10^{-30}) = -5.7(-30) \] \[ = 171\,\text{kJ mol}^{-1} \]