GATE ME 2017 Set 2 — Question 14
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Thermodynamics → Laws & Properties → Work & Heat in Processes
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Question
A mass of a perfect gas at pressure and volume undergoes an isothermal process. The final pressure is and volume is . The work done on the system is considered positive. If is the gas constant and is the temperature, then the work done in the process is
Correct answer
(B) -p₁ V₁ ln (p₁)/(p₂)
Solution
For an isothermal process of a perfect gas, the work done by the system is given by:Since the question states that work done on the system is considered positive:This matches option (B).
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