Quick Recap — Multi-step Equilibrium & pH (Hard)

  • Weak acid: [H+]=KaC[H^+]=\sqrt{K_a C}, α=Ka/C\alpha=\sqrt{K_a/C}; buffer pH=pKa+log[salt][acid]pH=pK_a+\log\dfrac{[salt]}{[acid]}.
  • Mixing strong acid + base: find excess [H+][H^+] or [OH][OH^-], then pH.
  • KspK_{sp}: convert between solubility and KspK_{sp} (ABs2AB\to s^2, A2B/AB24s3A_2B/AB_2\to4s^3); common ion sets [X][X].
  • Very dilute strong acid (106\le10^{-6} M): water's H+H^+ matters, so pH is just under 7.