It is possible to write simple equations to relate pH, pK, and concentrations (c) of various solutions Three such equations are shown here (a) Derive these three equations, and point out the assumptions involved in the derivations (b) Use these equations to determine the pH of 0 10 M CH 3 COOH(aq), 0 10 M NH 3 (aq), and 0 10 M NaCH 3 COO(aq) Verify that the equations give correct results by determining these pH values in the usual way 1 Weak acid pH pK 1log c 1 Weak base pH 14 00 pKb 2PK Salt of weak acid (pka) and strong base log c 1 1 pH 14 00 2pKw Pka log c

Question: It is possible to write simple equations to relate pH, pK, and concentrations (c) of various solutions. Three such equations are shown here. (a) Derive

It is possible to write simple equations to relate pH, pK, and concentrations (c) of various solutions. Three such equations are shown here.

1 1 Weak acid: pH = 1pK - log c 1 Weak base: pH = 14.00 - Salt of weak acid (pka) and strong base: 2pKb 2PK

(a) Derive these three equations, and point out the assumptions involved in the derivations.

(b) Use these equations to determine the pH of 0.10 M CH₃COOH(aq), 0.10 M NH₃(aq), and 0.10 M NaCH₃COO(aq).

Verify that the equations give correct results by determining these pH values in the usual way.

1 Weak acid: pH = pK - 1log c 1 Weak base: pH = 14.00 --- pKb 2PK Salt of weak acid (pka) and strong base: +=log c 1 1 pH = 14.00 - 2pKw+ Pka + log c

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