Question $2$

Consider a piston$-$cylinder assembly initially holding $1$ kg of water at $293$ K and $300$ kPa with the piston freely floating on the fluid. There is a set of stopper limiting the piston movement. The maximum volume in the cylinder is $2$ L when the piston touches the stopper. The piston$-$cylinder setup is then heated until the pressure inside the cylinder becomes $600$ kPa $.$

a$)$ Determine the final volume of the water.

$(4$ points$)$

b$)$ Sketch the process in a $\backslash ($ P$-$v $\backslash )$ diagram.

$(2$ points$)$

c$)$ Calculate the net work done in the process.

$(2$ points$)$