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Expansion of an ideal gas throught a pin...

Expansion of an ideal gas throught a pinhole into vacuum is a spontaneous process. In this expanision., there is_______of the system.

A

large energy change

B

small energy change

C

very large energy change

D

no energy change

Text Solution

Verified by Experts

The correct Answer is:
D
According to the first law of thermodynamics, the gas can lose energy only in two ways. It can release heat to the surrounding or it can do work on them. There is no loss of heat to the surroundings `(q = 0)` as the gas chamber in insulated. Further, no work is done because no force is opposing expanision `(p_(ex) = 0)`. Therefore, by first law of thermodynamics,
`Delta U = q + w = 0 + 0 = 0`
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