(Solved): HW - 10 Propane contained inside a closed piston-cylinder device undergoes four processes. Process ...

HW - 10 Propane contained inside a closed piston-cylinder device undergoes four processes. Process 1 to 2: A constant temperature process from an absolute pressure of 4 bar and a temperature of $0^{?}\mathrm{C}$ (State 1) to saturated vapor (State 2) Process 2 to 3: A constant pressure process to saturated liquid-vapor mixture of quality 0.3 (State 3) Process 3 to 4: A constant volume process to an absolute pressure of 10 bar (State 4) Process 4 to 5: A constant pressure process to a temperature of $0^{?}\mathrm{C}$ (State 5) (a) Considering the constant temperature process from State 1 to State 2 to be polytropic $P{v}^n=$ constant, find the value of $n$. (b) Calculate the specific work for each process, in $\mathrm{kJ}/\mathrm{kg}$. (c) Determine the specific heat transfer for each process, in $\mathrm{kJ}/\mathrm{kg}$. (d) Show the four processes on $P$ - $v$ diagram relative to the vapor dome and the appropriate lines of constant temperature for the five states. Label states and identify process directions with arrows. For propane: $P_{\text{critical }}=42.5$ bar and $T_{\text{critical }}=96.6^{?}\mathrm{C}$.