Question

In an adiabatic process, no transfer of heat takes place between system and surroundings. Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following.

• A. $△q=0,△T\ne 0,w=0$
• B. $△q\ne 0,△T=0,w=0$
• C. $△q=0,△T=0,w=0$
• D. $△q=0,△T<0,w\ne 0$

Answer 1

The correct option is C $△q=0,△T=0,w=0$

According to first law of thermodynamics,
$△U=\Delta q+w$
For free expansion, work done, $w=0$
For adiabatic process $\Delta q=0$,
So, $\Delta U=0$
If the change in internal energy is zero, then temperature will be unchanged. So $△T=0$
Correct answer is option c