Question

The cytochromes are heme‑containing proteins that function as electron carriers in the mitochondria. Calculate the difference in the reduction potential (ΔE∘′) and the change in the standard free energy (ΔG∘′) when the electron flow is from the carrier with the lower reduction potential to the higher. cytochrome c1 (Fe3+)+e−↽−−⇀cytochrome c1 (Fe2+)E∘′=0.22 V cytochrome c (Fe3+)+e−↽−−⇀cytochrome c (Fe2+)E∘′=0.254 V Calculate ΔE∘′ and ΔG∘′ .

Answer 1

Complete Question

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Answer:

The change in reduction potential is
`\Delta E^o=E^o_(cell) = 0.034 V`

The change in standard free energy is
`\Delta G^o = -3.2805 \ KJ/mol`

Step-by-step explanation:

From the question we are told that

At the anode

`cytochrome \ c_1 \ (Fe^(3+)) + e^-`⇔
`cytochrome \ c_1 \ (Fe^(2+)) \ \ E^o = 0.22 \ V`

At the cathode

`cytochrome \ c \ (Fe^(3+)) + e^-`⇔
`cytochrome \ c \ (Fe^(2+)) \ \ E^o = 0.254 \ V`

The difference in the reduction potential is mathematically represented as

`\Delta E^o = E^o_(cathode) - E^o_(anode)`

substituting values

`\Delta E^o = 0.254 - 0.220`

`\Delta E^o=E^o_(cell) = 0.034 V`

The change in the standard free energy is mathematically represented as

`\Delta G^o = -n * F * E^o_(cell)`

Where F is the Faraday constant with value F = 96485 C

and n i the number of the number of electron = 1

So

`\Delta G^o = -(1) * 96485 * 0.034`

`\Delta G^o = -3.2805 \ KJ/mol`