Answer Happy

(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(V,T) assuming that T is constant and derive an expression for the change of F(V,T) when the piston moves to the right. V,T = 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.