3 Particles can be exchanged between the containers shown in Worksheet_Figure.pdf. The left hand side has a free energy F1 that depends upon T, the number of particles N1 and the volume V1. Similarly, the right hand side has a free energy F2 that depends upon T, the number of particles N2 and the volume V2. The volumes are fixed, but particles can move from one side to the other. The equilibrium state of this system is given by either the value of N1 or the value of N2, but specifying both would be redundant because the total number of particles N = N1 + N2 is fixed. If we had a mathematical expression for the free energies, we could solve for the equilibrium state by minimizing the total free energy F = F1 + F2 with respect to either N1 or N2. That is, we could solve one of the following equations, open parentheses fraction numerator partial differential F over denominator partial differential N subscript 1 end fraction close parentheses subscript T comma space V subscript 1 comma space V subscript 2 end subscript equals 0 space space space text OR end text space space space space open