Air flows into the compressor of a gas turbine engine at \(0.1 \mathrm{MPa}, 300 \mathrm{~K}\) and is compressed to \(0.8 \mathrm{MPa}\). The air is heated to a maximum temperature of \(1100 \mathrm{~K}\) and then expanded through two stages each with a pressure ratio of 3. The intermediate reheating temperature is \(1100 \mathrm{~K}\). Assuming \(C_{\mathrm{p}}\) is constant and independent of temperature, determine the cycle efficiency. Take heat capacity ratio \(\kappa=1.4\).

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