First change the mass to moles: 1.0 g HBr × 1 mol HBr/(1.0 g + 79.9 g) = 0.012 mol in 1.00 L
[HBr] = 0.012 M
(The pH of this strong acid in the absence of buffer would be pH = –log(0.012) = 1.92)
NaNO2(aq) → Na+(aq) + NO2–(aq)
HNO2(aq) + H2O(l) → ← H3O+(aq) + NO2–(aq)
A/B reaction:HNO2(aq) ← HBr(aq) + NO2–(aq)
Ka = [H3O+]e[NO2–]e [HNO2]e = 7.2×10–4
Initial0.150 0 0.200
A/B reaction+0.012 0 –0.012
Change– x +x +x
Equilibrium0.162 – x x 0.188 + x
Approximate? 0.162/7.2×10–4 = 230 > 100 Yes.
7.2×10–4 = (x)(0.188)/(0.162)
x = [H3O+]e = 6.2×10–4 M
pH = –log[H3O+] = –log(6.2×10–4) = 3.21