In equation ΔᵣG=-nFE_cell, value of ΔᵣG depends on n.

In equation $\Delta_rG=-nFE_{cell}$, value of $\Delta_rG$ depends on $n$.
Reason: $E_{cell}$ is an intensive property and $\Delta_rG$ is an extensive property.
A Both A and R are true and R is the correct explanation of A
B Both A and R are true but R is NOT the correct explanation of A
C A is true but R is false
D A is false but R is true

Explanation

$\Delta_rG$ is extensive and scales with $n$, while $E_{cell}$ is intensive.

Detailed Solution

Free energy is an extensive property, and $E^o_{cell}$ is an intensive property. $\Delta_rG$ depends on the $n$, which is the number of electrons transferred in the reaction: $\Delta_rG=-nFE^o_{cell}$

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