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Question

n moles of gas an ideal monatomic gas is confined in a cylinder A of volume V0, pressure P0 and temperature T0, this cylinder is connected to another cylinder B with the help of tube of a negligible volume. The cylinder B is fitted with a movable piston which can be adjusted from outside. Initially, the piston is adjusted so that volume of B is 7V0 and B is evacuated and then stopcork is opened so that gas expands and occupies the volume 8V0. [System is thermally isolated from the surroundings].

During this free expansion, the internal energy of the system

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A
Increases
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B
Decreases
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C
Remains constant
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D
Nothing can be said
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Solution

The correct option is C Remains constant
Temperature will be unchanged during the free expansion. As the internal energy is only depend on the temperature of the system. So the internal energy will remain constant.
Ans:(C)

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