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Question: Answered & Verified by Expert
The temperature of 5 moles of a gas at constant volume is changed from 100 °C to 120 °C. The change in internal energy is 80 J. The total heat capacity of the gas at constant volume (in J K-1) is
PhysicsThermodynamicsJEE Main
Options:
  • A 8
  • B 4
  • C 0.8
  • D 0.4
Solution:
1582 Upvotes Verified Answer
The correct answer is: 4

Number of moles n=5 mol,   T1=100 °C

T2=120 °C,  U=80 J

Rise in temperature T=120-100=20 °C

U=msT

80=5×M0×s×20, where M0 is the molar mass

The heat capacity is

C=5M0s=4 J K-1

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