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Equipartition Theorem

24 J of heat ...

Question

24 J of heat are added to a gas in a container, and then the gas does 6 J of work on the walls of the container. What is the change in internal energy for the gas?

A

-30 J

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B

- 18 J

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C

4 J

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D

18 J

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E

30 J

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Solution

The correct option is E 18 J
Heat is added to the system: $Q = + 24$ J
Work done by the gas: $W = + 6$ J
From 1st law of thermodynamics, $Q = Δ U + W$
$∴$ $24 = Δ U + 6$ $⟹ Δ U = + 18$ J

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