Answer Happy

here F is Helmoholtz Free Energy, and G is Gibbs Free energy.
please solve with steps!
(a) Consider the proses of reaching a thermodynamic equilibrium under the condition of constant T, V and under the condition of constant T, P. Will the values of thermody- namic potentials F and G decrease, increase, or will it be impossible to tell in each of these processes? (b) Are F(V, T) and G(T, P) extensive or intensive quantities? In your own words, explain the difference between extensive and intensive quantities. (c) A substance split into two halves as shown in Fig. 3. The separating piston can move left and right without any friction with the walls of the container. The volume of the container and the temperature are fixed. Consider a spontaneous move of the piston to the right away prion the equilibrium position so that the volume to the right of the piston decreases by a very small amount SV and the volume to the left increases by the same amount. Use Taylor series of the Helmholtz potential of the substance F(VT) assuming that I is constant and derive an expression for the change of F(VT) when the piston moves to the right. VT = constant Figure 3: A piston (the gray bar) splits the container (black rectangle) completely filled with a substance in two halves. The piston can move left and right without any friction with the container. The volume and the temperature of the container are fixed.