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What is the approximate value of \( \log K_{\mathrm{P}} \) for the following reaction?
\( \mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NH}_{3}(\mathrm{~g}) \) at \( 25^{\circ} \mathrm{C} \).
The standard enthalpy of formation of \( \mathrm{NH}_{3}(\mathrm{~g}) \) is \( -40.0 \mathrm{~kJ} / \mathrm{mol} \) and the standard entropies of \( \mathrm{N}_{2}(\mathrm{~g}) \),
\( \mathrm{H}_{2}(\mathrm{~g}) \) and \( \mathrm{NH}_{3}(\mathrm{~g}) \) are 191,130 and \( 192 \mathrm{JK}^{-1} \) \( \mathrm{mol}^{-1} \), respectively.
(a) \( 0.04 \)
(b) \( 7.05 \)
(c) \( 8.6 \)
(d) \( 3.73 \)
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