Assuming that the heat capacilies of `H_2(g), N_2(g) and NH_3(g)` do not dary with temperature, and further assuming that AS is independent of temperature for the reaction `3H_2(g) +N_2(8) Leftrightarrow 2NH_33(g)` estimate the minimum temperature at which this reaction will occur spontaneously with all reactants at unit concentration. Given: `triangleH"= -92.38 kJ" and triangleS=-197.7J//K`.

Explanation

To determine the minimum temperature at which the reaction \(3H_2(g) + N_2(g) \leftrightarrow 2NH_3(g)\) occurs spontaneously, we can use the Gibbs free energy equation:

\[ \Delta G = \Delta H - T \Delta S \]

A reaction is spontaneous when \(\Delta G < 0\). Therefore, we need to find the temperature \(T\) at which \(\Delta G = 0\):

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