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GATE2020: 55

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The mitochondrial electron transfer chain oxidizes $NADH$ with oxygen being the terminal electron acceptor. The redox potentials for the two half-reactions are given below:

$$NAD^{+}+H^{+}+2e^{-}\rightarrow NADH,E^{0}{}'=-0.32V$$

$$\frac{1}{2}O_{2}+2H^{+}+2e^{-}\rightarrow H_{2O},E^{0}{}'=0.816V$$

The free energy change associated with the transfer of electrons from $NADH$ to $O_{2}$ is _________________ $kJ/mol$ (round off to $2$ decimal places).

Given: $F=96500\:C$/mol.
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