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NEET levelSingle correct optionDifficulty 1 of 3td166

One mole of an ideal gas expands reversibly and isothermally. If $q$ is the heat absorbed and $w$ the work done on the gas, which relation holds?

A $q = - w$
B $q = + w$
C $q = 0$
D $q = Δ H + w$

Answer: A

For an ideal gas

U

depends only on

T

, so

Δ U = 0

in an isothermal process. The first law

Δ U = q + w

then gives

q = - w

. The gas absorbs heat equal to the work it does.

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