GATE ME 2017 Set 2 — Question 44
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Thermodynamics → Laws & Properties → Carnot Cycle & Entropy
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Question
One kg of an ideal gas (gas constant ) undergoes an irreversible process from state-1 (, ) to state-2 (, ). The change in specific entropy () of the gas (in ) in the process is __________
Correct answer
-201
Solution
Entropy is a state function, so the change in entropy between two states is independent of the path (reversible or irreversible). For an ideal gas, the change in specific entropy is given by:Given:
, (Isothermal process)
,
Substituting the values:The negative sign indicates a decrease in entropy of the gas.
, (Isothermal process)
,
Substituting the values:The negative sign indicates a decrease in entropy of the gas.
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