The feed to a compressor is superheated steam at $300C$ and $20$ bar absolute pressure. It enters the compressor at a velocity of $20\frac{m}{s}.$ The pipe inlet inside diameter is $0\mathrm{.}10m.$ The discharging pipe, after the compressor, has a smaller inside diameter and the discharge velocity is $170\frac{m}{s}.$ The exit of the compressor is superheated steam at $400C$ and $\frac{80}{b}ar$ absolute$.$ Heat loss from the compressor to the surroundings is $5kW.$ Determine the compressor horsepower.