A composite system is constituted of two subsystems, 1 and 2, surrounded by an isentropic, rigid and impermeable external wall. Each subsystem contains two gaseous chemical species A and B. The composition of system 1 is given by )1()1(,BANN. The composition of 2 is given by )2()2(,BANN. The internal wall separating the two subsystems is diathermal, movable and permeable only to the chemical specie A. (a)Write the constraints imposed on the system.(b)Using the Energy representation of the fundamental equation, derive the conditions for equilibrium using the method of Lagrange multipliers.