(Solved): As shown in the figure below, a gas contained within a piston-cylinder assembly, initially at a vol ...

As shown in the figure below, a gas contained within a piston-cylinder assembly, initially at a volume of $0.1{\mathrm{m}}^3$, undergoes a constantpressure expansion at $p=2$ bar to a final volume of $V_2=0.16{\mathrm{m}}^3$, while being slowly heated through the base. The change in internal energy of the gas is $0.25\mathrm{kJ}$. The piston and cylinder walls are fabricated from heat-resistant material, and the piston moves smoothly in the cylinder. The local atmospheric pressure is 1 bar. (a) For the gas as the system, evaluate work and heat transfer, each in $\mathrm{kJ}$. (b) For the piston as the system, evaluate work and change in potential energy, each in $\mathrm{kJ}$. Part A For the gas as the system, evaluate work and heat transfer, each in $\mathrm{kJ}$. $\begin{array}{ll}{W}_{\text{gas }}=& \mathrm{kJ}\\ Q_{\text{gas }}=& \mathrm{kJ}\end{array}$