The standard cell potential of an electrolysis cell based onthe following reacti

Question

The standard cell potential of an electrolysis cell based onthe following reaction is -1.28 V. What is the minimum amount ofwork required to run teh electrolysis cell if [Cr3+] =4.5E-3 M and [I-] = 0.15M?
2 Cr3+ (aq) + 6 I- (aq) -->2 Cr (s) + 3 I2 (s)
The correct answer is 7.9 x105 J , but I do not understand howthis is calculated. Can anyone explain this?
Thanks! The standard cell potential of an electrolysis cell based onthe following reaction is -1.28 V. What is the minimum amount ofwork required to run teh electrolysis cell if [Cr3+] =4.5E-3 M and [I-] = 0.15M?
2 Cr3+ (aq) + 6 I- (aq) -->2 Cr (s) + 3 I2 (s)
The correct answer is 7.9 x105 J , but I do not understand howthis is calculated. Can anyone explain this?
Thanks!

Explanation / Answer

We Know that :       The given reaction is :         2Cr3+ (aq) + 6 I- (aq) --> 2 Cr(s) + 3 I2 (s)          Thenumber of electrons transferring in the chemical reaction is6         The Ecell calculated as -1.28 V           so thework obtained from the cell can be calculated as :               G = - n F Ecell                        = - 6 x 96500 J / V x ( -1.28 ) V                        = 7.4 x 105 J

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