For power generation based on ideal Brayton cycle using cold air-standard approach show that (a) the back work ratio is given by bwr=T1/T4, where T1 is the temperature at the compressor inlet and T4 is the temperature at the turbine exit, (b) the temperature at the compressor exit that maximizes the net work developed per unit of mass flowing is given by T2=(T1T3) 1/2 where T1 is the temperature at the compressor inlet and T3 is the temperature at the turbine inlet.

A newly purchased sedan car operates on an ideal thermodynamic cycle. The engine has acompression ratio of 10. The ambient air pressure is 1 bar while temperature is 21 ºC. Themaximum temperature in the engine is 1600 K. Draw the ideal power cycle and label it.Utilizing the air-standard assumptions, determine (a) the gas temperature at the exits of thecompression and the expansion processes, (b) the specific works of compression, expansionand net, (c) heat supplied to the engine and (d) the thermal efficiency.

A gas-turbine power plant operating on an ideal Brayton cycle has a pressure ratio of(10.2). Air enters the compressor at 100 kPa, 300 K, with a volumetric flow rate of11 m3/s. The turbine inlet temperature is 1460 K.Universal gas constant (R) = 8.314 J K-1 mol-1, molar mass of air (M) = 28.97 g mol-11. Show the plant layout of the gas turbine and explain the principle of operation of thesystem. Clearly indicate the energy exchanges that take place.Neglecting all pressure losses, changes in kinetic energy determine;2. the thermal efficiency of the cycle3. the back work ratio4. the net power developed, in kW.5. Suppose in actual situation, the compressor has isentropic efficiency of 75 percent andthe turbine has isentropic efficiency of 80 percent because of irreversibilities present.Compare and evaluate the actual plant and theoretical efficiencies accounting for anydiscrepancies found.

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