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Question: Answered & Verified by Expert
0.08 kg air is heated at constant volume through 5°C. The specific heat of air at constant volume is 0.17 kcal kg-1 °C-1 and 1 J=4.18 joule cal-1. The change in its internal energy is approximately.
PhysicsThermodynamicsJEE MainJEE Main 2024 (27 Jan Shift 1)
Options:
  • A 318 J
  • B 298 J
  • C 284 J
  • D 142 J
Solution:
2768 Upvotes Verified Answer
The correct answer is: 284 J

The amount of work done for the given process should be zero, as the process is an isochoric process.

Thus, the change in internal energy will be equal to the heat exchanged in the process. Mathematically,

Q=U

Now,

U=msT   ...1

From equation (1), it follows that

U=0.08×(170×4.18)×5 J 284 J

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