A nitrogen line at 300 K, 0.5 MPa, shown in Fig. P4.137, is connected to a turbine that exhausts to a closed, initially empty tank of 50 m3. The turbine operates to a tank pressure of 0.5 MPa, at which point the temperature is 250 K. Assuming the entire process is adiabatic, determine the turbine work.

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N2 WT Tank Turbine FIGURE P4.137