Methane is compressed adiabatically in a pipeline pumping station from $3,500$kPa and $35C$ to $5,500$kPa at the rate of $1\mathrm{.}4$kmol$*s^{-1}.$ If

the compressor efficiency is $0\mathrm{.}78,$ what is the power requirement of the compressor and what is the discharge temperature of the

methane? The heat capacity coefficients are given in the table below.

Heat Capacities of Gases in the Ideal$-$Gas State

The power requirement of the compressor is

$kW.$

The discharge temperature is