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A gas turbine operates with an inlet temperature of 1 2 0 0 C and an inlet pressure of 4 MPa. The gas expands isentropically

A gas turbine operates with an inlet temperature of 1200C and an inlet pressure of 4 MPa. The gas expands isentropically to a pressure of 1 MPa. Calculate the work done by the turbine per kilogram of gas, the change in enthalpy, and the exit temperature assuming air behaves as an ideal gas with a specific heat ratio of 1.4.Air flows through a converging nozzle with an inlet pressure of 300 kPa, an inlet temperature of 400 K, and an inlet velocity of 200 m/s. The exit pressure is 100 kPa. Calculate the exit temperature, exit velocity, and exit area assuming isentropic flow.A steel beam with a length of 6 meters and a cross-sectional area of 0.05 m^2 is subjected to a uniformly distributed load of 10 kN/m. Calculate the maximum bending stress in the beam, the maximum deflection if the modulus of elasticity for steel is 200 GPa, and the shear force at the ends of the beam.A heat exchanger transfers heat from hot water entering at 70C and leaving at 50C to cold water entering at 20C and leaving at 40C. The hot water flow rate is 1 kg/s, and the cold water flow rate is 0.5 kg/s. Calculate the rate of heat transfer in the exchanger and the effectiveness of the heat exchanger.A gear train consists of two gears with 24 and 36 teeth, respectively. If the smaller gear rotates at 1200 rpm, calculate the speed of the larger gear and the torque transmitted if the power input is 8 kW.
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