Question 8.184E: Air in a piston/cylinder arrangement, shown in Fig. P8.135, ...

Energy Eq.:              m \left( u _{2}- u _{1}\right)={ }_{1} Q _{2}-{ }_{1} W _{2}

Entropy Eq,:            m \left( s _{2}- s _{1}\right)=\int d Q / T +{ }_{1} S _{2  gen}

Process:                    P = P _{0}+\alpha\left( V – V _{0}\right) \quad \text { if } \quad V \leq V _{\text {stop }}

Information:          P _{\text {stop }}= P _{0}+\alpha\left( V _{\text {stop }}- V _{0}\right)

Eq. of state ⇒        T _{\text {stop }}= T _{1} P _{\text {stop }} V _{\text {stop }} / P _{1} V _{1}=2160< T _{2}

So the piston will hit the stops      \Rightarrow V _{2}= V _{ stop }

State 1:

Take control volume as total out to reservoir at  T _{ RES }