Hydrogen $)=(2$ at $1\mathrm{.}2$atm pressure abs and at $300K$ 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 $50mm$ in diameter and $5km$ in length. The pressure at the pipe outlet is measured as $1$atm abs$.$ 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 $300K.$ Take $f=0\mathrm{.}01.$