For each of the cases that follow, list as many properties of the equilibrium state as you can, especially the constraints placed on the equilibrium state of the system by its surroundings and/or its container. 

a. The system is placed in thermal contact with a thermostatic bath maintained at temperature T. 

b. The system is contained in a constant-volume container and thermally and mechanically isolated from its surroundings. 

c. The system is contained in a frictionless piston and cylinder exposed to an atmosphere at pressure P and thermally isolated from its surroundings.

d. The system is contained in a frictionless piston and cylinder exposed to an atmosphere at pressure P and is in thermal contact with a thermostatic bath maintained at temperature T.

e. The system consists of two tanks of gas connected by tubing. A valve between the two tanks is fully opened for a short time and then closed.