Two simple systems with constant V and N are brought into thermal contact. System 1 has a specific heat

\(C_{V} = C\)
and an intitial temperature of
\(T_{0}\)
while system 2 has a specific heat
\(C_{V}= 2C\)
and an initial temperature of
\(3T_{0}\)
. Assume that 1) the composite system forms a closed, isolated system; 2) the specific heats of both systems are temperature independent; 3) the process is quasistatic. Determine the following:

a) the final temperature of each system.

b) the change in energy of each system and also of the composite system.

c) the change in entropy of each system an also of the composite system.