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Given a gas turbine cycle has two stages of compression, with an intercooler between the stages. Air enters the first stage at 100 kPa, 300 K. The pressure ratio across each compressor stage is 10 to 1, and each stage has an isentropic efficiency of 70%. Air exits the intercooler at 330 K. Calculate the temperature at the exit of each compressor stage and the total specific work required.