Question

write the equilibrium constant expression for this reaction: nh₄⁺(aq) → nh₃(aq)+h⁺(aq)

Explanation:

Step1: Recall the equilibrium constant formula

For a reaction \(aA + bB
ightleftharpoons cC + dD\), the equilibrium constant \(K=\frac{[C]^c[D]^d}{[A]^a[B]^b}\) (where \([X]\) represents the molar concentration of species \(X\)).

Step2: Apply formula to the given reaction

For the reaction \(NH_{4}^{+}(aq)
ightleftharpoons NH_{3}(aq)+H^{+}(aq)\), here \(a = 1\) (for \(NH_{4}^{+}\)), \(c = 1\) (for \(NH_{3}\)), \(d = 1\) (for \(H^{+}\)).
So \(K=\frac{[NH_{3}][H^{+}]}{[NH_{4}^{+}]}\)

Answer:

\(K=\frac{[NH_{3}][H^{+}]}{[NH_{4}^{+}]}\)