GATE ME 2020 Set 2 — Question 44
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Thermodynamics → Laws & Properties → Carnot Cycle & Entropy
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Question
One kg of air in a closed system undergoes an irreversible process from an initial state of bar (absolute) and , to a final state of bar (absolute) and . If the gas constant of air is and the ratio of the specific heats , then the change in the specific entropy (in ) of the air in the process is
Correct answer
(A) -26.3
Solution
The change in specific entropy for an ideal gas is given by:Given:
First, calculate :Now, calculate :Rounding to one decimal place, we get .
First, calculate :Now, calculate :Rounding to one decimal place, we get .
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