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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 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?  Correct Answer U

Explanation:

The internal energy of a system is the energy contained within the system.

The internal energy of an ideal gas is a function of absolute temperature only.

For an ideal gas,

U = f(T) only.

In the case of an isothermal process, there is no change in temperature i.e. ΔT = 0

Change in internal energy is given as:

ΔU = mcΔT

ΔT = 0 ⇒ ΔU = 0 ⇒ U = constant.

So, internal energy will be constant in the isothermal process.

Therefore, the internal energy of a perfect gas does not change during the Isothermal process.

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