K_p for the conversion of oxygen to ozone at | vedclass

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Question

(A) Given,$K_p$ for the conversion of oxygen to ozone at $400 \ K$ is $1.0 	imes 10^{-30}$.Standard Gibbs energy change $\Delta G^{\circ} = -RT \ln K

Vedclass · Accepted Answer

$229.8$

Vedclass · Answer

(A) Given,$K_p$ for the conversion of oxygen to ozone at $400 \ K$ is $1.0 	imes 10^{-30}$.Standard Gibbs energy change $\Delta G^{\circ} = -RT \ln K_p = -2.303 RT \log_{10} K_p$.Here,$R = 8.314 \ J \ K^{-1} \ mol^{-1}$ and $T = 400 \ K$.Substituting the values:$\Delta G^{\circ} = -2.303 	imes 8.314 	imes 400 	imes \log_{10} (1.0 	imes 10^{-30})$$\Delta G^{\circ} = -2.303 	imes 8.314 	imes 400 	imes (-30)$$\Delta G^{\circ} = 229765.7 \ J \ mol^{-1}$Converting to $kJ \ mol^{-1}$:$\Delta G^{\circ} \approx 229.8 \ kJ \ mol^{-1}$.

$K_p$ for the conversion of oxygen to ozone at $400 \ K$ is $1.0 \times 10^{-30}$,its standard Gibbs energy change in $kJ \ mol^{-1}$ is approximately

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