The plot of \( \log _{10} K_{p} \) against \( 1 / T \) for the reaction : \[ \mathrm{SO}_{2}(g)+...

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The plot of \( \log _{10} K_{p} \) against \( 1 / T \) for the reaction :
\[
\mathrm{SO}_{2}(g)+\frac{1}{2} \mathrm{O}_{2}(g) \rightleftharpoons \mathrm{SO}_{3}(g),
\]
is a straight line with slope \( =4.95 \times 10^{3} \). Calculate \( K_{p} \) at \( 25^{\circ} \mathrm{C} \) if standard entropies for \( \mathrm{SO}_{2}(g), \mathrm{O}_{2}(g) \) and \( \mathrm{SO}_{3}(g) \) are \( 248.2,205.1 \) and \( 256.8 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \) at \( 25^{\circ} \mathrm{C} \) respectively.
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