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Calculate G for the reaction H 2 O(l) <==> H + (aq) +OH - (aq) at 25 C for the f

ID: 680740 • Letter: C

Question

Calculate G for the reaction H2O(l) <==> H+(aq) +OH-(aq) at 25 C for the following conditions: (a) [H+] = 1.0 x 10-7 M,[OH-] = 1.0 x 10-7 M (b) [H+] = 1.0 x 10-3 M,[OH-] = 1.0 x 10-4 M (c) [H+] = 1.0 x 10-12 M,[OH-] = 1.0 x 10-8 M (d) [H+] = 3.5 M, [OH-] = 4.8x 10-4 M I really need instructions on how to do this problem, not theanswers themselves. Calculate G for the reaction H2O(l) <==> H+(aq) +OH-(aq) at 25 C for the following conditions: (a) [H+] = 1.0 x 10-7 M,[OH-] = 1.0 x 10-7 M (b) [H+] = 1.0 x 10-3 M,[OH-] = 1.0 x 10-4 M (c) [H+] = 1.0 x 10-12 M,[OH-] = 1.0 x 10-8 M (d) [H+] = 3.5 M, [OH-] = 4.8x 10-4 M I really need instructions on how to do this problem, not theanswers themselves.

Explanation / Answer

We Know that :       G = -2.303 RT log K           Thegiven equation is :         H2O(l) <==> H+(aq) +OH-(aq)                  Kc = [H+] [OH-]       (a)                Kc   = [1.0x 10-7] [1.0 x10-7]                         = 1.0 x 10-14                G = -2.303 x 8.314 J / K-mole x 298 K log1.0 x 10-14                        = 80 KJ / mole       (b)                 Kc   = [1.0 x 10-3 M ] [1.0 x10-4 M ]                        = 80 KJ / mole       (b)                 Kc   = [1.0 x 10-3 M ] [1.0 x10-4 M ]                          = 1.0 x 10 -7                   G = -2.303 x 8.314 J / K-mole x 298 K log 1.0 x10-7                           = 40 KJ / mole       (c)                Kc = [1.0 x 10-12 M ] [1.0 x10-8 M ]                        = 1.0 x 10-20 M                  G = -2.303 x 8.314 J / K-mole x 298 K log 1.0 x10-20                          = 114.116 KJ / mole                   G = -2.303 x 8.314 J / K-mole x 298 K log 1.0 x10-7                           = 40 KJ / mole       (c)                Kc = [1.0 x 10-12 M ] [1.0 x10-8 M ]                        = 1.0 x 10-20 M                  G = -2.303 x 8.314 J / K-mole x 298 K log 1.0 x10-20                          = 114.116 KJ / mole                          = 114.116 KJ / mole
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