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JEE Main levelOne or more correct optionsDifficulty 2 of 3td183

One mole of an ideal gas expands reversibly and isothermally from $V_{1}$ to $2 V_{1}$ . Select all correct statements.

A $Δ U = 0$
B $Δ H = 0$
CThe heat absorbed equals the work done by the gas
DThe entropy of the gas does not change because $T$ is constant

Answer: A, B, C

For an ideal gas

U

and

H

depend only on

T

, so

Δ U = Δ H = 0

. Then

q = - w

, so heat absorbed equals work done by the gas. The entropy change is

R ln 2 > 0

because the volume increases, so the last statement is false.

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