Calculate the value of \( \log K_{p}\left(\right. \) at \( \left.25^{\circ} \mathrm{C}\right) \)...

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Calculate the value of \( \log K_{p}\left(\right. \) at \( \left.25^{\circ} \mathrm{C}\right) \) for the reaction : \( \mathrm{N}_{2}(g)+3 \mathrm{H}_{2}(g) \rightleftharpoons 2 \mathrm{NH}_{3}(g) \). The standard enthalpy of formation of \( \mathrm{NH}_{3}(g) \) is \( -46 \mathrm{~kJ} \) and standard entropies of \( \mathrm{N}_{2}(g), \mathrm{H}_{2}(g) \) and \( \mathrm{NH}_{3}(g) \) are 191, 130, \( 192 \mathrm{JK}^{-1} \mathrm{~mol}^{-1} \) respectively. \( \left(R=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right) \).
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