1- A piston cylinder system has an initial volume of $V_1 = 20$ L
and is filled with steam at $T_1 = 300^\circ C$ and $P_1 = 200$ kPa. Steam
loses heat to the surroundings environment in an isobaric
process and reaches a final temperature of $T_2 = 150^\circ C$.
If specific volume and specific internal energy at state 1 are:
$v_1 = 1.316 \ m^3/kg$ and $u_1 = 2808.8 \ kJ/kg$
and at state 2 are:
$v_2 = 0.960 \ m^3/kg$ and $u_2 = 2577.1 \ kJ/kg$, determine:
a) Mass of the steam, m (2 points)
b) Final volume of system, $V_2$ (2 points)
c) Total work performed by environment on the system, $W_{in}$ (3 points)
d) Total heat transferred to the environment, $Q_{12}$ (3 points)