GATE ME 2016 Set 1 — Question 56
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Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
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Question
An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript 1) and at the end (subscript 2) of the process with usual notation are: , and , and the gas constant, . The magnitude of the work required for the process (in kJ) is ________
Correct answer
14.75 to 15.25
Solution
For a reversible process where pressure varies linearly with volume, the work done is the area under the curve, which is a trapezoid.Given:
Substituting the values:
The negative sign indicates that work is done on the system (compression). The magnitude of the work required is .
Substituting the values:
The negative sign indicates that work is done on the system (compression). The magnitude of the work required is .
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