Verified Solution • 2025–26 Session moderate

QJEEM22Ph72a6: JEE Main 2022 Physics - Class 11 JEEM22Ph72a6 Solution: A sample of an ideal gas is taken through the cyclic process…

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The workdone by the gas during the part CA is :

JEE Main 2022 (Online) 28th June Evening Shift Physics - Heat and Thermodynamics Question 176 English

Multiple Choice Options

  • A 20 J
  • B 30 J
  • C −30 J
  • D −60 J

Step-by-Step Verified Solution

ΔUAB = 40 J as process is isochoric.

ΔUBC = + 50 (WBC = − 50 J)

UC = UA + ΔUAB + ΔUBC = 1650

For CA process,

QCA = − 60 J

ΔUCA + WCA = −60

−90 + WCA = − 60

⇒ WCA = +30 J

The graph given is inconsistent with the statement BC may be adiabatic and CA cannot be like isobaric as shown, as increasing volume while rejecting heat at same time.

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