A piston/cylinder assembly with a spring contains 0.1 kg of water. The piston is initially resting on the stops and the water has a temperature of T1 = 80°C and a quality of x, = 40%. Heat is added to...


A piston/cylinder assembly with a spring contains 0.1 kg of water. The piston<br>is initially resting on the stops and the water has a temperature of T1 = 80°C<br>and a quality of x, = 40%. Heat is added to the water causing the piston to<br>lift off the stops, rise up and compress the spring. Heating continues until a<br>final state is reached and the pressure is 200 kPa. The vertical distance be-<br>tween the top of the piston when it is resting on the stops and the bottom<br>of the spring is Ay = 0.5 m, as shown in the figure. Assume the piston is<br>massless (m, = 0), the area of the piston is A, = 0.15 m?, the spring constant<br>is k; = 50 kN/m and atmospheric pressure is Po = 100 kPa.<br>a) Determine the volume, pressure and temperature of the water<br>when the piston just lifts off the stops, V2, P2 and T2.<br>b) Determine the pressure and specific volume of the water when the<br>piston just touches but is not yet compressing the spring, P3 and v3.<br>c) Determine the final volume of water in the piston/cylinder assem-<br>bly, V4.<br>d) Calculate the total work done from the initial state to the final state.<br>Po<br>Ay<br>Water<br>

Extracted text: A piston/cylinder assembly with a spring contains 0.1 kg of water. The piston is initially resting on the stops and the water has a temperature of T1 = 80°C and a quality of x, = 40%. Heat is added to the water causing the piston to lift off the stops, rise up and compress the spring. Heating continues until a final state is reached and the pressure is 200 kPa. The vertical distance be- tween the top of the piston when it is resting on the stops and the bottom of the spring is Ay = 0.5 m, as shown in the figure. Assume the piston is massless (m, = 0), the area of the piston is A, = 0.15 m?, the spring constant is k; = 50 kN/m and atmospheric pressure is Po = 100 kPa. a) Determine the volume, pressure and temperature of the water when the piston just lifts off the stops, V2, P2 and T2. b) Determine the pressure and specific volume of the water when the piston just touches but is not yet compressing the spring, P3 and v3. c) Determine the final volume of water in the piston/cylinder assem- bly, V4. d) Calculate the total work done from the initial state to the final state. Po Ay Water

Jun 11, 2022
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