Air is compressed steadily by a compressor from $100$ kPa and $17\backslash$deg C to $700$ kPa and $247\backslash$deg C at a rate

of $10$ kg$/$min$.$ Assuming the surroundings to be at $17\backslash$deg C$,$ determine the minimum power input to

the compressor. Assume air to be an ideal gas with variable specific heats, and neglect the

changes in kinetic and potential energies.