15.[20 Marks] (a) What is the power input into the compressor (MW)? (b) What is the isentropic efficicncy of the turbine? (c) Determine Qin (MW (p) Determine the thermal efficiency of the cycle Qin 2 3 Heat exchanger Turbine Compressor Wout Win Heat exchanger Qout
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Madhur L.
4. (12 marks total) The sketch shows a regenerative gas turbine cycle. The following states are given: 1: P1 = 100 kPa, T1 = 20°C 2: P2 = 1 MPa 4: T4 = 1000°C compressor isentropic efficiency: ηc = 0.80 turbine isentropic efficiency: ηт = 0.86 regenerator effectiveness: ε = 0.75 You may assume a constant specific heat for your calculations, evaluating it at a reasonable average temperature for the cycle. (a) (1 mark) State the pressure at every point in this cycle and draw a T-s diagram for it, showing all points and processes. (b) (4 marks) Find the compressor specific work in kJ/kg and the compressor exit temperature T2. (c) (3 marks) Find the turbine specific work in kJ/kg and the turbine exit temperature T5. (d) (4 marks) Calculate the combustor inlet temperature T3.
Supreeta N.
$9-95$ A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and $1600 \mathrm{kPa}$. The working fluid is air, which enters the compressor at $40^{\circ} \mathrm{C}$ at a rate of $850 \mathrm{~m}^{3} / \mathrm{min}$ and leaves the turbine at $650^{\circ} \mathrm{C}$. Assuming a compressor isentropic efficiency of 85 percent and a turbine isentropic efficiency of 88 percent, determine $(a)$ the net power output, $(b)$ the back work ratio, and $(c)$ the thermal efficiency. Use constant specific heats with $c_{v}=0.821 \mathrm{~kJ} /$ $\mathrm{kg} \cdot \mathrm{K}, c_{n}=1.108 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K},$ and $k=1.35 .$
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