For a cell reaction with standard EMF E deg_cell and n electrons transferred, which statements are correct?

E deg_cell is an intensive quantity while Delta_r G deg is extensive

Doubling all stoichiometric coefficients of the cell reaction doubles Delta_r G deg

E deg_cell is an intensive quantity while Delta_r G deg is extensive

Doubling all stoichiometric coefficients of the cell reaction doubles E deg_cell

Doubling all stoichiometric coefficients of the cell reaction doubles Delta_r G deg

JEE Main levelOne or more correct optionsDifficulty 2 of 3ec051

For a cell reaction with standard EMF $E_{cell}^{\circ}$ and $n$ electrons transferred, which statements are correct?

A $Δ_{r} G^{\circ} = - n F E_{cell}^{\circ}$
B $E_{cell}^{\circ}$ is an intensive quantity while $Δ_{r} G^{\circ}$ is extensive
CDoubling all stoichiometric coefficients of the cell reaction doubles $E_{cell}^{\circ}$
DDoubling all stoichiometric coefficients of the cell reaction doubles $Δ_{r} G^{\circ}$

Δ_{r} G^{\circ} = - n F E^{\circ}

is the basic relation (A). If the equation is doubled,

n

doubles and so does

Δ_{r} G^{\circ}

(D), but

E^{\circ} = - Δ_{r} G^{\circ} / (n F)

is unchanged because both numerator and denominator double. So the potential is intensive and the Gibbs energy extensive (B); C is wrong.