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

1. A

$q=0,\mathrm{\Delta }T\ne 0.W=0$

2. B

$q=0,\mathrm{\Delta }T\ne 0,W\ne 0$

3. C

$q=0,\mathrm{\Delta }T=0,W=0$

4. D

$q=0,\mathrm{\Delta }T=0,W\ne 0$

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### Solution:

For the free expansion of an ideal gas, the opposing force is zero, hence work done = 0.

$\mathrm{\Delta }U=q+w,w=0$ and $\mathrm{\Delta }U=q$

But the process is adiabatic, hence

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