301 Sample_Final_Test_Solution

# 301 Sample_Final_Test_Solution - SAMPLE SOLUTIONS MAE 301...

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SAMPLE SOLUTIONS 1 MAE 301: Engineering Thermodynamics I Spring 2010 Final Test (30% of final grade) May 11, 2010 Problem 1. (25 points) A two-phase, liquid-vapor mixture of H 2 O, initially at x = 30% and a pressure of 100 kPa is contained in a piston-cylinder assembly. The piston diameter is 15 cm. The pressure of surroundings is 100 kPa. As the water is heated, the pressure inside the cylinder remains constant until the piston hits the stops. Heat transfer to the water continues at constant volume until the pressure is 150 kPa. Friction between the piston and the cylinder wall and kinetic and potential energy effects are negligible. For the overall process of the water, determine the work and heat transfer, each in kJ. Solution: 2 2 2 0176 . 0 4 15 . 0 4 m D A = = = π kJ kJ x PA P W 11 . 0 06 . 0 0176 . 0 100 = = Δ = Δ = kg kJ xu u u kg m xv xv v v fg f g fg f 5 . 1043 2 . 2088 3 . 0 417 ; 51 . 0 7 . 1 * 3 . 0 1

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301 Sample_Final_Test_Solution - SAMPLE SOLUTIONS MAE 301...

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