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Chemistry · THERMODYNAMICS

हिन्दी

Calculate \( \Delta_r G^\circ \) at \( 298\text{ K} \) for the conversion \( \frac{3}{2}\text{O}_2(g) \rightarrow \text{O}_3(g) \) if \( K_p = 2.47 \times 10^{-29} \). (Given: \( 2.303 \times R \times 298 \approx 5706\text{ J mol}^{-1} \), \( \log(2.47) \approx 0.393 \))

  1. \( -163\text{ kJ mol}^{-1} \)
  2. \( +163\text{ kJ mol}^{-1} \)
  3. \( +81.5\text{ kJ mol}^{-1} \)
  4. \( +326\text{ kJ mol}^{-1} \)

Correct answer · Option 2

\( +163\text{ kJ mol}^{-1} \)

Explanation

\( \Delta_r G^\circ = -2.303 RT \log K_p = -5706 \times (0.393 - 29) = -5706 \times (-28.607) \approx +163\text{ kJ mol}^{-1} \).
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