Question

write the equilibrium constant expression for this reaction: h₂so₄(aq) → 2h⁺(aq)+so₄²⁻(aq)

Explanation:

Step1: Recall the formula for equilibrium constant

For a general 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: Identify the coefficients and species in the given reaction

In the reaction \(H_2SO_4(aq)
ightleftharpoons 2H^{+}(aq)+SO_4^{2 - }(aq)\), the coefficient of \(H^{+}\) is \(2\), and the coefficient of \(H_2SO_4\) is \(1\), the coefficient of \(SO_4^{2-}\) is \(1\).

Step3: Write the equilibrium constant expression

Using the formula \(K=\frac{[C]^c[D]^d}{[A]^a[B]^b}\), we substitute \(C = H^{+}\), \(c = 2\), \(D=SO_4^{2-}\), \(d = 1\), \(A = H_2SO_4\), \(a = 1\). So \(K=\frac{[H^{+}]^2[SO_4^{2-}]}{[H_2SO_4]}\)

Answer:

\(K=\frac{[H^{+}]^2[SO_4^{2-}]}{[H_2SO_4]}\)