Example 6
Two particular systems have the following equations of state
where ,
and the subscripts indicate systems 1 and 2. The mole number of the first
system is N1 = 0.4, and that of the second is N2 = 0.8.
the two systems are contained in a closed adiabatic cylinder, separated by
a movable diathermal piston. The initial temperatures are T1 =
400 K and T2 = 800 K, and the total volume is 0.1 m3
. what is the energy and volume of each system in equilibrium? What is the
pressure and temperature?
Solution
Let the subscript for initial and final parameters be denoted by i-j and
f-j where j indicates the subsystem 1 or 2.
Let Tf be the final temperature of the whole system (taking both
the subsystems together)