$4\mathrm{.}37$ WP Air enters a compressor operating at steady state at $176\mathrm{.}4lb\frac{f}{i}n.{?}^2,260F$ with a volumetric flow rate of $424f\frac{t^3}{m}in$ and exits at $15\mathrm{.}4lb\frac{f}{i}{n}^2,80F.$ 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$.$