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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : In equation ΔrG=nFEcell\Delta_r G = -nFE_{cell} value of ΔrG\Delta_r G depends on n. Reasons R : EcellE_{cell} is an intensive property and ΔrG\Delta_r G is an extensive property. In the light of the above statements, choose the correct answer from the options given below

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is NOT the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Step-by-Step Solution

Assertion A is true because ΔrG\Delta_r G depends on the number of moles of electrons transferred (nn). Reason R is also true because EcellE_{cell} is an intensive property (independent of amount) and ΔrG\Delta_r G is an extensive property (depends on amount). However, R is not the direct explanation for why ΔrG\Delta_r G depends on nn in the equation, as the dependence on nn is a mathematical consequence of the definition of Gibbs free energy as an extensive property.

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