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Question: Answered & Verified by Expert
2 kg of a monoatomic gas is at a pressure of 4×104 N m-2. The density of the gas is 8kg m-3. What is the order of energy of the gas due to its thermal motion?
PhysicsKinetic Theory of GasesJEE MainJEE Main 2019 (10 Jan Shift 2)
Options:
  • A 105 J
  • B 106 J
  • C 104 J
  • D 103 J
Solution:
1184 Upvotes Verified Answer
The correct answer is: 104 J

Internal energy is the energy due to thermal motion.

The internal energy of an ideal gas given by

U=f2nRT (for n moles)

U=f2PV=f2×P×Mρ (Since, f=3  for a monoatomic gas.)

U=32×4×104×28

=1.5×104J
So, the order of energy due to thermal motion is 104

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