Chemistry

Chemistry

Problem

For the reaction N2(g)+3 H2(g)  ⇌  2 NH3(g)\mathrm{N_2(g)+3\,H_2(g)\;\rightleftharpoons\;2\,NH_3(g)} with ΔH=−92 kJ mol−1\Delta H = -92\,\text{kJ mol}^{-1}, compression of the reaction vessel at constant temperature increases the total pressure. In one or two sentences, explain why this compression increases the equilibrium mole fraction of NH3\mathrm{NH_3} in terms of the reaction quotient QQ and the equilibrium constant KK.
Intuitive explanation

When you compress the vessel, the total pressure rises instantly, which increases QQ (the ratio of product to reactant partial pressures). Since QQ becomes less than the fixed equilibrium constant KK at that temperature, the system must shift right to re-establish equilibrium—and shifting right produces more NH3\mathrm{NH_3} because the forward reaction consumes 4 moles of gas to make 2 moles, favoring the side with fewer particles at higher pressure.

Intuitive explanation

When you compress the vessel, the total pressure rises instantly, which increases QQ (the ratio of product to reactant partial pressures). Since QQ becomes less than the fixed equilibrium constant KK at that temperature, the system must shift right to re-establish equilibrium—and shifting right produces more NH3\mathrm{NH_3} because the forward reaction consumes 4 moles of gas to make 2 moles, favoring the side with fewer particles at higher pressure.

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