1 Consider a system consisting of gas 1 and gas 2 as shown in Fig.1. The two gases are separated by a movable, adiabatic wall, and they are in contact with an environment with temperature T through diathermal walls (i.e., isothermal condition). At the equilibrium, the volumes of the gas 1 and gas 2 are found to be V and V2, respectively. By using the free energy principle, show that the equilibrium condition is expressed as P(T,V)= P(T, V), where P and P2 represent the pressures of the gas 1 and gas 2, respectively. Environment with temperature T Fixed, diathermal wall Movable, adiabatic wall

1 Consider a system consisting of gas 1 and gas 2 as shown in Fig.1. The two gases are separated by a movable, adiabatic wall, and they are in contact with an environment with temperature T through diathermal walls (i.e., isothermal condition). At the equilibrium, the volumes of the gas 1 and gas 2 are found to be V and V2, respectively. By using the free energy principle, show that the equilibrium condition is expressed as P(T,V)= P(T, V), where P and P2 represent the pressures of the gas 1 and gas 2, respectively. Environment with temperature T Fixed, diathermal wall Movable, adiabatic wall