Pick out the correct equation relating 'F' and 'A'.

A. F = A + PV

B. F = E + A

C. F = A - TS

D. F = A + TS

Answer: Option A

Solution(By Examveda Team)

Here the $$F$$ is Gibbs free energy and $$A$$ is Helmholtz free energy.
So, $$F=H-TS$$   and $$A=U-TS$$
$$\eqalign{ & \Rightarrow F = H + A - U \cr & \Rightarrow F = A + PV \cr} $$