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HW12sols - Problem 12.7 Given Data on turbine inlet and...

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Problem 12.7 [Difficulty: 2] Given: Data on turbine inlet and exhaust Find: Whether or not the vendor claim is feasible Solution: Basic equations: Δ s c p ln T 2 T 1 R ln p 2 p 1 Δ h c p Δ T T 2 T 1 p 2 p 2 k 1 k when s = constant η h 1 h 2 h 1 h 2s T 1 T 2 T 1 T 2s The data provided, or available in the Appendices, is: p 1 10 bar 1 10 3 kPa T 1 1400 K η 80 % P 1 MW p 2 1 bar 100 kPa c p 1004 J kg K R gas 287 J kg K k 1.4 If the expansion were isentropic, the exit temperature would be: T 2s T 1 p 2 p 1 k 1 k 725.126 K Since the turbine is not isentropic, the final temperature is higher: T 2 T 1 η T 1 T 2s 860.101 K Then Δ h c p T 1 T 2 542.058 kJ kg Δ s c p ln T 2 T 1 R gas ln p 2 p 1 Δ s 171.7157 J kg K The mass flow rate is: m P Δ h 1.845 kg s
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Problem 12.14 [Difficulty: 3] Given: Air is compressed from standard conditions to fill a tank Find: (a) Final temperature of air if tank is filled adiabatically and reversibly
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