Hi there,
We have to take ΔG0 value and check K & E0 values are consistenet or not
ΔG0 = -RTlnK ==> K = e-(ΔG0/RT)
ΔG0 = -nFE0 ==> E0 = -ΔG0 / nF
ΔG0 = in J/mol
R = 8.3145 J/mol.K
T = 25 = 25 + 273.15 = 298.15 K
n = 1e-
F = faraday's constant = 96485 C/mol.e-
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A:
ΔG0 = -19 kJ/mol = -19000 J/mol
K = e-(ΔG0/RT) = K = e-(-19000J/mol / (8.3145 J/mol.K x 298.15 K ) = 2131.28250824 = 2.13 x 103
E0 = -ΔG0 / nF = -(-19000 J.mol.K) / (1e- x 96485 C/mol.e-) = 0.19692180131 = 0.20 V (This is + sign) given option is negative sign
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B:
ΔG0 = -144 kJ/mol = -144000 J/mol
K = e-(ΔG0/RT) = K = e-(-144000J/mol / (8.3145 J/mol.K x 298.15 K ) = 1.6888657e+25 = 1.69 x 1025
E0 = -ΔG0 / nF = -(-144000 J.mol.K) / (1e- x 96485 C/mol.e-) = 1.49245996787 = +1.49 V
Actuall both K & E0 values are wrong, but they clearly mentioned that only one of the three values is wrong and when you choose in a row, so neglect negative sign for cell potential still number is correct, but K is entirely wrong.
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C:
ΔG0 = 124 kJ/mol = 124000 J/mol
K = e-(ΔG0/RT) = K = e-(124000J/mol / (8.3145 J/mol.K x 298.15 K ) = 1.8890243e-22 = 1.89 x 10-22
E0 = -ΔG0 / nF = -(124000 J.mol.K) / (1e- x 96485 C/mol.e-) = 1.28517386122 = -1.29 V
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