Is the haber process for the industrial synthesis of ammonia spontaneous or nonspontaneous under standard conditions at 25 ∘c? n2 (g) + 3h2 (g) →2nh3 (g) δh∘=-92.2 kj; δs∘=-199 j/k?

The industrial synthesis of ammonia is spontaneous.

to to prove this one calculate the gibbs free energy (delta G)

= delta G = Delta H - T delta s

delta H = - 92.2 kj in joules - 92.2 x1000 = - 92200j

delta s = - 199j/k

T = 25+273 = 298k

delta G is therefore = - 92200-298 (-199) = - 32898j

since delta G is negative the reaction is therefore spontaneous