(Solved): Ammonia \( (\mathrm{m}=10 \mathrm{~kg}) \) contained inside a closed piston-cylinder device underg ...

Ammonia \( (\mathrm{m}=10 \mathrm{~kg}) \) contained inside a closed piston-cylinder device undergoes two processes. Process 1 to 2: A constant pressure process from an absolute pressure of 20 bar and \( 40^{\circ} \mathrm{C} \) (State 1) to the saturated vapor state (State 2) Process 2 to 3: A constant temperature process to an absolute pressure of 10 bar (State 3 ) (a) Considering the constant temperature process from State 2 to State 3 to be polytropic \( P v^{n}= \) constant, find the value of \( n \). (b) Calculate the work for each process, in \( \mathrm{kJ} \). (c) Determine the heat transfer for each process, in \( \mathrm{kJ} \). (d) Show the processes on \( P-v \) and \( T-v \) diagrams relative to the vapor dome. Indicate lines of constant \( T \) on the \( P-v \) diagram and constant \( P \) on the \( T-v \) diagram. Label states and identify process directions with arrows. For ammonia: \( P_{\text {critical }}=113 \) bar and \( T_{\text {critical }}=132^{\circ} \mathrm{C} \).