Steam in a piston-cylinder assembly undergoes a polytropic process, with $n = 2$, from an initial state where $V_1 = 2.63160 \text{ ft}^3$, $p_1 = 500 \text{ lbf/in}^2$, and $u_1 = 1322.4 \text{ Btu/lb}$ to a final state where $u_2 = 1036.0 \text{ Btu/lb}$ and $v_2 = 3.393 \text{ ft}^3/\text{lb}$. The mass of the steam is $1.5 \text{ lb}$. Changes in kinetic and potential energy can be neglected.
Determine the change in volume, in $\text{ft}^3$, the energy transfer by work, in Btu, and the energy transfer by heat, in Btu.