Q$2)$ A piston$/$cylinder contains $0\mathrm{.}4$ kg of refrigerant R$-22$ at $\backslash (-16^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The piston with an area of $\backslash (0\mathrm{.}1\backslash$mathrm$\{$~m$\}^\{2\}\backslash )$ is loaded with a linear spring, piston mass, and the atmosphere. The spring force is zero when the piston is at the bottom of the cylinder. The R$-22$ is now heated to a final pressure of $350$ kPa $.$ It is known that the spring constant is $\backslash (100\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}\backslash )$ and the pressure exerted on the piston due to the piston mass and outside atmosphere is $135\mathrm{.}47$ kPa $.$

Find the work and heat transfer during this process. Please Do not assume anything only given in the questions