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A certain perfect gas with R=0.3 kJ/kg-K, k=1.5 goes through an ideal Brayton cycle with initial state P_{1}=100 kPa, T_{1}=300 K, a compression ratio of P_{2}/P_{1}=10 and a maximum temperature T_{3}=2000 K.
(a) Sketch the cycle on a T-s diagram; (b) Find the specific heat of the gas; (c) Find the specific work done and specific heat transfer for each device; (d) Find the specific net work done and thermal efficiency of the cycle.
2. Air (ideal gas) goes through an ideal jet-engine cycle with initial state P_{1}=100 kPa, T_{1}=300 K, a compression ratio of P_{2}/P_{1}=10 and a maximum temperature T_{3}=2000 K.
(a) Find the specific enthalpy and standard-state entropy at all states; (d) Find the specific work input for the compressor and specific heat transfer in the combustor; (c) Find the exit velocity of the nozzle and the propulsion efficiency of the cycle.
Show transcribed image text 1. A certain perfect gas with R=0.3 kJ/kg-K, k=1.5 goes through an ideal Brayton cycle with initial state P1=100 kPa, T1=300 K, a compression ratio of P2/P1=10 and a maximum temperature T3=2000 K. (a) Sketch the cycle on a T-s diagram; (b) Find the specific heat of the gas; (c) Find the specific work done and specific heat transfer for each device; (d) Find the specific net work done and thermal efficiency of the cycle. 2. Air (ideal gas) goes through an ideal jet-engine cycle with initial state P1=100 kPa, T1=300 K, a compression ratio of P2/P1=10 and a maximum temperature T3=2000 K. (a) Find the specific enthalpy and standard-state entropy at all states; (d) Find the specific work input for the compressor and specific heat transfer in the combustor; (c) Find the exit velocity of the nozzle and the propulsion efficiency of the cycle. A certain perfect gas with R=0.3 kJ/kg-K, k=1.5 goes through an ideal Brayton cycle with initial state P1=100 kPa, T1=300 K, a compression ratio of P2/P1=10 and a maximum temperature T3=2000 K. (a) Sketch the cycle on a T-s diagram; (b) Find the specific heat of the gas; (c) Find the specific work done and specific heat transfer for each device; (d) Find the specific net work done and thermal efficiency of the cycle. 2. Air (ideal gas) goes through an ideal jet-engine cycle with initial state P1=100 kPa, T1=300 K, a compression ratio of P2/P1=10 and a maximum temperature T3=2000 K. (a) Find the specific enthalpy and standard-state entropy at all states; (d) Find the specific work input for the compressor and specific heat transfer in the combustor; (c) Find the exit velocity of the nozzle and the propulsion efficiency of the cycle.
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