$3-113$ A piston$-$cylinder device contains $0\mathrm{.}5m^3$ of h$$lium gas initially at

$100$ kPa and $25C.$ At this position, a linear spring is touching the piston

but exerts no force on it$.$ Heat is now transferred to helium until both the

pressure and the volume triple. Determine $($a$)$ the work done and $($b$)$ the

amount of heat transfer for this process. Also show the process on a $P-v$

diagram. Answers: $($a$)200$ kJ $,($b$)801\mathrm{.}4$ kJ