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A steam turbine operates with an inlet steam condition of 3 MPa and 3 5 0 C and an exit steam condition of 0 .

A steam turbine operates with an inlet steam condition of 3 MPa and 350C and an exit steam condition of 0.1 MPa with a dryness fraction of 0.95. Calculate the work done by the turbine per kilogram of steam, the change in enthalpy, and the change in entropy.Air flows through a converging-diverging nozzle with an inlet pressure of 500 kPa, an inlet temperature of 600 K, and an inlet velocity of 100 m/s. The throat pressure is 300 kPa. Calculate the throat temperature, throat velocity, and throat area assuming isentropic flow.A cylindrical steel shaft of diameter 50 mm and length 1 meter is subjected to a torque of 200 Nm. Calculate the shear stress in the shaft, the angle of twist in radians if the modulus of rigidity for steel is 80 GPa, and the polar moment of inertia of the shaft.A flat plate of area 1 m^2 is subjected to a uniform heat flux of 1000 W/m^2 on one side while the other side is maintained at 25C. The thermal conductivity of the plate material is 50 W/mK. Calculate the steady-state temperature gradient in the plate, the heat flow rate through the plate, and the temperature at a point 10 mm from the heated surface.A solid sphere with a diameter of 0.2 m and a thermal conductivity of 200 W/mK is initially at a uniform temperature of 300C. It is suddenly immersed in a large body of water at 30C with a heat transfer coefficient of 500 W/m^2K. Calculate the Biot number, the initial rate of heat transfer from the sphere, and the time required for the sphere's temperature to drop to 100C.
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