GATE ME 2019 Set 1 — Question 34
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Thermodynamics → Laws & Properties → Carnot Cycle & Entropy
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Question
Air of mass , initially at and , is allowed to expand isothermally till it reaches a pressure of . Assuming air as an ideal gas with gas constant of , the change in entropy of air (in , round off to two decimal places) is _______
Correct answer
0.64 to 0.68
Solution
For an ideal gas, the change in specific entropy is given by the relation:For an isothermal process, the temperature remains constant (), which simplifies the equation to:Given:
- Mass of air,
- Gas constant,
- Initial pressure,
- Final pressure,
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