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A Carnot engine operates between a high - temperature reservoir at 6 0 0 K and a low - temperature reservoir at 3 0 0

A Carnot engine operates between a high-temperature reservoir at 600 K and a low-temperature reservoir at 300 K. If the engine absorbs 1000 J of heat from the high-temperature reservoir, calculate:
a. The efficiency of the engine.
b. The work done by the engine.
c. The heat rejected to the low-temperature reservoir.
Fluid Mechanics:
Water flows through a horizontal pipe with a diameter of 0.15 m at a velocity of 1.5 m/s. The pipe then narrows to a diameter of 0.075 m. Using the principle of continuity, calculate:
a. The velocity of water in the narrower section of the pipe.
b. The mass flow rate of water through the pipe.
Mechanics of Materials:
A steel rod with a length of 3 meters and a cross-sectional area of 0.02 m^2 is subjected to a tensile force of 100,000 N. Calculate:
a. The stress in the rod.
b. The strain in the rod if the Youngs modulus for steel is 200 GPa.
c. The elongation of the rod.
Dynamics:
A block of mass 15 kg is sliding down an inclined plane with an angle of 25 to the horizontal. The coefficient of friction between the block and the plane is 0.25. Calculate:
a. The acceleration of the block.
b. The net force acting on the block.
c. The distance traveled by the block in 4 seconds.
Heat Transfer:
A flat plate of area 3 m^2 is exposed to solar radiation. The solar irradiance is 900 W/m^2. If the plate is made of a material with an absorptivity of 0.7, calculate:
a. The total solar energy absorbed by the plate per second.
b. The temperature rise of the plate after 15 minutes if the specific heat capacity of the material is 800 J/kgK and the mass of the plate is 7 kg.
Thermodynamics:
A steam turbine operates with an inlet steam condition of 4 MPa and 400C and an exit steam condition of 0.1 MPa with a dryness fraction of 0.9. Calculate:
a. The work done by the turbine per kilogram of steam.
b. The change in enthalpy.
c. The change in entropy.
Fluid Mechanics:
Air flows through a converging-diverging nozzle with an inlet pressure of 400 kPa, an inlet temperature of 500 K, and an inlet velocity of 120 m/s. The throat pressure is 250 kPa. Calculate:
a. The throat temperature.
b. The throat velocity.
c. The throat area assuming isentropic flow.
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