Which of the following is the correct option for free expansion of an ideal gas under an adiabatic condition?

$straight q space not equal to space 0 comma space increment straight T space equals space 0 comma space straight W space equals 0$
$straight q space equals space 0 comma space increment straight T space equals space 0 comma space straight W space equals space 0$
$straight q space equals 0 comma space increment straight T space less than thin space 0 comma space straight W not equal to 0$
$straight q space equals 0 comma space increment straight T space not equal to 0 comma space straight W space equals space 0$

Solution

straight q space equals space 0 comma space increment straight T space equals space 0 comma space straight W space equals space 0

For an adiabatic process, q = 0 and for free expansion, W = 0,
Therefore ΔT = 0.

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