Chemical EquilibriumhardNUMERICAL

For the homogeneous reaction , a mixture is prepared such that , , and . Calculate the exact numericChemical Equilibrium Chemistry Question

Question

For the homogeneous reaction $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$, a mixture is prepared such that $[N_2] = 0.1\text{ M}$, $[H_2] = 0.2\text{ M}$, and $[NH_3] = 0.4\text{ M}$. Calculate the exact numerical value of the reaction quotient $Q_c$.

Answer: 200

💡 Solution & Explanation

The reaction quotient expression is $Q_c = \frac{[NH_3]^2}{[N_2][H_2]^3}$. Substituting the given concentrations: $Q_c = \frac{(0.4)^2}{(0.1)(0.2)^3} = \frac{0.16}{(0.1)(0.008)} = \frac{0.16}{0.0008} = 200$.

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