Ncert Exercises & Solutions

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

1. $q = 0, ∆ T \neq 0, W = 0$

2. $q \neq 0, ∆ T = 0, W = 0$

3. $q = 0, ∆ T = 0, W = 0$

4. $q = 0, ∆ T = 0, W \neq 0$

Hint: For an adiabatic process,

dq = 0

For, free expansion, W=0

and Adiabatic process, q=0

∆ U = q + W = 0

, this means that internal energy remains constant.

Therefore,

∆ T = 0

ln the ideal gas, there is no intermolecular attraction.

Hence, when such a gas expands under adiabatic conditions into a vacuum, no heat is absorbed or evolved since no

external work is done to separate the molecules.

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