JEE Advanced · 2009 · 12 Apr 2009 · Paper 2 · Heat & Thermodynamics

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The figure shows the plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse. Then,
  1. (A)the process during the path is isothermal
  2. (B)heat flows out of the gas during the path ✓ Correct
  3. (C)work done during the path is zero
  4. (D)positive work is done by the gas in the cycle ABCDA✓ Correct

Answer: (B), (D)

Solution

From the first law, . For path , both volume and pressure decrease, so temperature decreases (). Also, work done by the gas is negative (). Therefore, , meaning heat flows out (option B). For the complete cycle ABCDA, the area enclosed is positive, indicating net positive work done by the gas (option D). Path is not isothermal (it's part of a semicircle, not a hyperbola), and work done during is not zero (the area under the curve is non-zero).

JEE Advanced · 2009 · 12 Apr 2009 · Paper 2 · One or more correct options

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