A piston/cylinder assembly with a spring contains 0.075 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 x1 = 30%. Heat is added to the water causing the %3D piston to lift off the stops, rise up and compress the spring. Heating contin- ues until a final state is reached and the pressure is 200 kPa. The vertical distance between the top of the piston when it is resting on the stops and the bottom of the spring is Ay = 0.6 m, as shown in the figure. Assume the piston is massless (m, = 0), the area of the piston is A, = 0.12 m², the spring constant is k, = 40 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.

A piston/cylinder assembly with a spring contains 0.075 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 x1 = 30%. Heat is added to the water causing the %3D piston to lift off the stops, rise up and compress the spring. Heating contin- ues until a final state is reached and the pressure is 200 kPa. The vertical distance between the top of the piston when it is resting on the stops and the bottom of the spring is Ay = 0.6 m, as shown in the figure. Assume the piston is massless (m, = 0), the area of the piston is A, = 0.12 m², the spring constant is k, = 40 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A piston/cylinder assembly with a spring contains 0.075 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 x1 = 30%. Heat is added to the water causing the
piston to lift off the stops, rise up and compress the spring. Heating contin-
ues until a final state is reached and the pressure is 200 kPa. The vertical
distance between the top of the piston when it is resting on the stops and
the bottom of the spring is Ay = 0.6 m, as shown in the figure. Assume the
piston is massless (m, = 0), the area of the piston is A, = 0.12 m², the spring
constant is k, = 40 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.
P.
Ay
Water

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