Problem $2(10$ points$)-$ Moving Boundary Work and Energy Balance of Ideal Gas

A spring$-$loaded piston$-$cylinder device contains $3$ kg of helium as the system, as

shown in the right figure. This system is heated from $100$ kPa and $30C$ to $700$

kPa and $150C.$ You may assume that changes in kinetic and potential energy in

this problem are negligible.

A$.$ Determine the work produced by this system. Indicate the work as a

positive number that is either $"$in$"$ or "out."

B$.$ Determine the heat transferred to this system. Indicate the heat transfer

as a positive number that is either $"$in$"$ or "out." You can use a constant

specific heat evaluated at $300$ K $.$