$2-$ A piston cylinder system is constrained by a linear spring and contains steam at $600$ kPa and $600C$ at its initial state. Initial volume of the steam is $50$ L $.$ Over time, steam cools down by releasing heat to the environment. As a result, volume decreases to $40$ L and pressure decreases to $500$ kPa $,$ in a final state. Find:

a$)$ Mass of steam. $(2$ points$)$

b$)$ Specific internal energy of steam at final state. $(3$ points$)$

c$)$ Boundary work. $(3$ points$)$

d$)$ Total heat loss from steam $(2$ points$)$