Hydrogen $($MW$-2)$ at $1\mathrm{.}2$ atm pressure abs and at $300$K is sent to an isothermal compressor and is compressed to $4\mathrm{.}8$ atm abs at the compressor and sent from the compressor into a horizontal pipe $50$ mm in diameter and $5$ km in length. The pressure at the pipe outlet is measured as $1$ atm als. What is the power required for the compressor if $=0\mathrm{.}6$ and the mass flow rate of the gas? Flow conditions are isothermal and the temperature of the gas is $300$K Take f$-0\mathrm{.}01$