\(7.5 \quad \mathrm{CO}_{2}\) enters an adiabatic compressor at \(100 \mathrm{kPa}\) and \(250 \mathrm{~K}\) at a rate of \(0.1 \mathrm{~m}^{3} / \mathrm{s}\) and leaves at \(500 \mathrm{kPa} . \mathrm{CO}_{2}\) is assumed to behave as an ideal gas. Determine the work of compression per unit mass for

(a) Reversible adiabatic compression when \(\gamma=1.4\)

(b) Isothermal compression

(c) Single-stage compression when \(\gamma=1.3\).