GATE ME 2020 Set 2 — Question 62
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Thermodynamics → Laws & Properties → Work & Heat in Processes
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Question
Air is contained in a frictionless piston-cylinder arrangement as shown in the figure.
The atmospheric pressure is and the initial pressure of air in the cylinder is . The area of piston is . Heat is now added and the piston moves slowly from its initial position until it reaches the stops. The spring constant of the linear spring is . Considering the air inside the cylinder as the system, the work interaction is _______ J (round off to the nearest integer).
Correct answer
543 to 545
Solution
Initial pressure , Area , , .
From the figure, the piston moves a total distance of to reach the final stops, with the spring engaging after the first .
Work done during the first (constant pressure ):
.
Work done during the next (against atmospheric pressure, piston weight, and spring):
.
Total work interaction .
From the figure, the piston moves a total distance of to reach the final stops, with the spring engaging after the first .
Work done during the first (constant pressure ):
.
Work done during the next (against atmospheric pressure, piston weight, and spring):
.
Total work interaction .
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