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Question: Answered & Verified by Expert
A sample of an ideal gas is taken through the cyclic process ABCA in the diagram. It rejects 50 J of heat during the part AB, does not absorb or reject the heat during BC, and accepts 70 J of heat during CA. Forty joules of work is done on the gas during the part BC, The internal energies at B and C, respectively, will be
[Given that Internal energy at A i.e UA= 1500]

PhysicsThermodynamicsNEET
Options:
  • A 1450 J and 1410 J
     
  • B 1550 J and 1590 J
  • C 1450 J and 1490 J
  • D 1550 J and 1510 J
     
Solution:
1722 Upvotes Verified Answer
The correct answer is: 1450 J and 1490 J
Along path AB (Isochoric)

Δ Q = Δ U + Δ W = U B - U A + Δ W

or - 50 = U B - U A = U B - 1 5 0 0

or U B = 1 4 5 0 J

Along path BC

or Δ Q = U C - U B + Δ W

or 0 = U C - U B + Δ W = U C - U B + - 4 0

or 0 = U C - 1 4 5 0 - 4   or   U C = 1 4 9 0 J

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