$2-$A piston cylinder system at an initial volume of $0\mathrm{.}1m^3$ contains $0\mathrm{.}25$ kg of steam at a pressure of $P_1=600$kPa. Heat is lost to the environment and the volume reduces to half of its initial volume at the final state.

a$)$ Find the initial temperature, $T_1.(2$ Pts$)$

b$)$ The boundary work, $W_b.(2$ Pts$)$

c$)$ Total heat lost to the environment, $Q_{1-2}(6$ Pts$)$