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Exercise 18.78 A voltaic cell consists of a Pb/Pb half-cell and a Cu/Cu half. ce

ID: 1064494 • Letter: E

Question

Exercise 18.78 A voltaic cell consists of a Pb/Pb half-cell and a Cu/Cu half. cell at 25 °C. The initial concentrations of Pb and Cu are 5.30x10-2 M and 1.60 M respectively. Part A What is the initial cell potential? Express your answer using two significant figures. 0.51 V Subm My Answers Give Up Correct Part B what is the cell potential when the concentration of Cu has fallen to 0.220 M Express your answer using two significant figures. 0.45 V Submi My Answers Give Up Correct Part C What are the concentrations of Pb2+ and Cu when the cell potential falls to 0.370V? 2 Enter your answers numerically separated by a comma. Express your answer using two significant figures. o Ga Pb Cu 5.22.10 2, 5.22.10 2 Submit My Answers Give Up incorrect; Try Again: 2 attempts remaining

Explanation / Answer

E = Eo - 0.059/2 * log [Pb2+]/[Cu2+]

let change in concentration be x. Since E < Eo, [Pb2+] has increased

E = Eo - 0.059/2 * log [Pb2+]/[Cu2+]
0.370 = 0.51 - 0.059/2 * log {(5.30*10^-2 + x)/(5.30*10^-2 - x)}
log {(5.30*10^-2 + x)/(5.30*10^-2 - x)} = 4.746
(5.30*10^-2 + x)/(5.30*10^-2 - x) = 55688
5.30*10^-2 + x = 2951.5 - 55688*x
x = 0.053 M

[Pb2+] = 5.30*10^-2 + 0.053 = 0.11 M
[Cu2+] = 5.30*10^-2 + 0.053 = 0

Answer: 0.11,0