moles of \(HCl = 0.2\,M \times 25 \times {10^{ - 3}}\,L = 0.005\)
moles \(HCl\) (total consumed)
moles of \(N{H_3} = 0.2\,M \times 50 \times {10^{ - 3}}\,L = 0.01\)
moles \(HCl\)
excess \(N{H_3} = 0.01 - 0.005 = 0.005\) moles
\(1\) mole ammonia \(= 1 \) mole \(N{H_4}Cl\)
\(0.005\,N{H_3} = 0.005\,N{H_4}Cl\)
Total volume
\( = {V_{HCl}} + {V_{N{H_3}}} = 25 + 50\, = 75\,ml\)
\([N{H_3}] = [N{H_4}Cl] = \frac{{0.005\,mole}}{{75 \times {{10}^{ - 3}}\,L}} = 0.066\,M\)
\(pOH = p{K_b} + \log \frac{{[N{H_4}Cl]}}{{[N{H_3}]}}\)
\(pOH = 4.75 + \log \frac{{[0.066]}}{{[0.066]}}\)
\(pOH = 4.75\)
\(pH = 14 - pOH \Rightarrow pH = 9.25\)