A piston$-$cylinder that has a piston initially resting on top of a set of stops initially contains $0\mathrm{.}32$ kg of helium gas at $100$ kPa and $18\mathrm{.}6$

C$.$ A pressure of $155$ kPa is required to lift the piston off the stops.

a$)$ At what temperature will the piston begin to move?

$$

C

b$)$ How much heat must be added before the piston starts to rise?

kJ

c$)$ If the volume of the gas inside the cylinder increases by a factor of $1\mathrm{.}8,$ what is the new temperature after this expansion process?

$$

C

d$)$ What is the boundary work done by the gas during this expansion process?

kJ

e$)$ What is the total amount of heat added during this expansion process $($from its initial state to the final state after the expansion$)?$

kJ