Chemistry

Chemistry

Problem

In a mixture of N2N_2 and H2H_2 in the ratio 1 : 3 at 30 atm and 300°C, the % of NH3NH_3 at equilibrium is 17.8. Calculate KPK_P for N2+3H2⇌2NH3N_2 + 3H_2 \rightleftharpoons 2NH_3 .
Intuitive explanation

The key is to track how the partial pressures of all species change as the reaction reaches equilibrium, then use the equilibrium expression. Start by setting up an ICE table with mole fractions (since you know the initial ratio), convert those to partial pressures using the total pressure, and account for how many moles are consumed and produced. Once you have equilibrium partial pressures, plug them into KP=PNH32PN2⋅PH23K_P = \frac{P_{NH_3}^2}{P_{N_2} \cdot P_{H_2}^3} to find your answer.

Intuitive explanation

The key is to track how the partial pressures of all species change as the reaction reaches equilibrium, then use the equilibrium expression. Start by setting up an ICE table with mole fractions (since you know the initial ratio), convert those to partial pressures using the total pressure, and account for how many moles are consumed and produced. Once you have equilibrium partial pressures, plug them into KP=PNH32PN2⋅PH23K_P = \frac{P_{NH_3}^2}{P_{N_2} \cdot P_{H_2}^3} to find your answer.

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