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A sample of ideal gas has an internal energy U and is then compressed to one-half of its original volume while the temperature stays the same. What is the new internal energy of the ideal gas in terms of U?

A

U

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B

1/2U

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C

1/4U

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D

2U

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Solution

The correct option is A U
A sample of ideal gas has an internal energy U and is then compressed to one-half of its original volume while the temperature stays the same. The new internal energy of the ideal gas in terms of U is U.
Note: In an isothermal process, the temperature is constant. Due to this, the internal energy of the system is constant. So the change in the internal energy is zero. $Δ U$ .

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