Question $4(25$ points$)$

Air enters a compressor operating at steady state at $13\mathrm{.}4lb\frac{f}{i}{n}^2,83F$ with a volumetric flow rate $(A_1{V}_1)$ of $434f\frac{t^3}{m}in$ and exits at $17\mathrm{.}3\mathrm{.}4lb\frac{f}{i}n.{?}^2,26\mathrm{.}3F.$ Heat transfer occurs at a rate of $6800Bt\frac{u}{h}$ from the compressor to its surroundings. Assuming the ideal gas model for air and neglecting kinetic and potential energy effects, determine the power input, in hp$.$