\(\mathrm{CO}_{2}\) at \(100 \mathrm{kPa}\) and \(330 \mathrm{~K}\) is to be compressed steadily in an adiabatic compressor to \(500 \mathrm{kPa}\) and \(450 \mathrm{~K}\). The mass flow rate of air is \(0.05 \mathrm{~kg} / \mathrm{s}\). Assuming that the changes in the kinetic and potential energies are negligible and \(\mathrm{CO}_{2}\) is assumed to behave as an ideal gas, compute the power requirement of the compressor.