A gas turbine engine operates at temperature between 300 and \(1200 \mathrm{~K}\). The pressure ratio is 12 and the working fluid is \(\mathrm{CO}_{2}\). Assume an isentropic process,

(1) Determine the efficiency and work ratio of the cycle. Assume heat capacity ratio of \(\mathrm{CO}_{2}, \kappa_{\mathrm{CO}_{2}}=1.3\).

(2) Calculate the maximum net work. Assume \(c_{p\left(\mathrm{CO}_{2}\right)}=0.9 \mathrm{~kJ} / \mathrm{kgK}\)

\([0.436,0.556,270 \mathrm{~kJ} / \mathrm{kg}]\)