Concept:In electrochemistry, Gibbs energy change and electrical work are related, but with opposite signs.
Explanation:For an electrochemical cell, the relation is:
ΔG=−nFEcellHere,
n is the number of electrons transferred,
F is Faraday's constant, and
Ecell is the cell potential.
The electrical work done by the cell equals the decrease in Gibbs energy.
So, electrical work done by the cell
=−ΔGThus, electrical work is not equal to
ΔG directly; it is equal to
−ΔG.
Hence, Option D is incorrect.
Now check the other statements:
ΔG∘ is an extensive property because it depends on the amount of substance.
Ecell∘ is an intensive property because it does not depend on the amount of substance.
For a spontaneous reaction,
ΔG must be negative, i.e.,
ΔG<0.
So, statements A, B, and C are correct.
Answer:Option D — "Electrical work is equal to
ΔG" is the incorrect statement.