1. A gas turbine plant consists of two turbines. One turbine is used to drive compressor and the other power turbine both having their own combustion chamber. Air enters the compressor at 1 bar and \( 288 \mathrm{~K} \) and is compressed to 8 bar with an isentropic efficiency of \( 76 \% \). Due to heat added to air in the combustion chamber, the inlet temperature to both turbines is \( 900^{\circ} \mathrm{C} \). The isentropic efficiency of turbines is \( 86 \% \) and mass flow rate of air is \( 23 \mathrm{Kg} / \mathrm{s} \). The calorific values of fuel is \( 42000 \mathrm{~kJ} / \mathrm{Kg} \). Draw the schematic diagram of the plant and T-s diagram. Calculate the output of the plant and thermal efficiency if mechanical efficiency is \( 95 \% \) and generator efficiency is \( 96 \% .\left(C_{p a}=1.005 \mathrm{~kJ} / \mathrm{kgK}, C_{p g}=1.128 \mathrm{~kJ} / \mathrm{kgK}\right. \), ratio of specific heats are 1.4 for air and 1.34 for gas).
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Air enters the compressor at 1 bar and 288 K, is compressed to 8 bar, and then heated in the combustion chamber to 900°C before entering the turbines. The T-s diagram would show the process of compression, heating, and expansion in the turbines. Show more…
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A gas-turbine power plant operates on the simple Brayton cycle between the pressure limits of 100 and 800 kPa. Air enters the compressor at $30^{\circ} \mathrm{C}$ and leaves at $330^{\circ} \mathrm{C}$ at a mass flow rate of $200 \mathrm{kg} / \mathrm{s}$. The maximum cycle temperature is $1400 \mathrm{K}$. During operation of the cycle, the net power output is measured experimentally to be 60 MW. Assume constant properties for air at $300 \mathrm{K}$ with $c_{\mathrm{v}}=0.718 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}, c_{p}=$ $1.005 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}, R=0.287 \mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}, k=1.4$ (a) Sketch the $T$ -s diagram for the cycle. (b) Determine the isentropic efficiency of the turbine for these operating conditions. (c) Determine the cycle thermal efficiency.
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