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