Standard EMF of a cell

Question

Reaction | Emf | Gibbs free energy |

${\mathrm{H}}_{2}\text{\hspace{0.17em}}+\text{\hspace{0.17em}}{\mathrm{Cl}}_{2}\text{\hspace{0.17em}}\to \text{\hspace{0.17em}}2\mathrm{HCl}$ | ${\mathrm{E}}_{1}$ | ${\mathrm{\Delta G}}_{1}$ |

$\frac{1}{2}{\mathrm{H}}_{2}+\frac{1}{2}{\mathrm{Cl}}_{2}\text{\hspace{0.17em}}\to \text{\hspace{0.17em}}\mathrm{HCl}$ | ${\mathrm{E}}_{2}$ | ${\mathrm{\Delta G}}_{2}$ |

Correct relation is

Moderate

Solution

Cell potential and electro potentials are intensive properties …. uninfluenced by stoichiometry where as Gibbs free energy is an extensive property.

$\therefore \text{\hspace{0.17em}}{\mathrm{E}}_{1}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}{\mathrm{E}}_{2}\&{\mathrm{\Delta G}}_{1}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}2{\mathrm{\Delta G}}_{2}$

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