A screen divides a container of volume `1 m^(3)` into two parts. One part is filled with an ideal gas at 300 K and the other part is empty. The system is isolated from the surroundings. Will there be any change in the temperature of the gas if the screen is suddenly removed?

Explanation

The system is isolated, so heat exchange with the surroundings , Q = 0
There is no change in the volume of the container, so work done, W = 0
From the first law of thermodynamics,
`U_(f) -U_(i) = Q - W = 0 or, U_(f) = U_(i)`
This means that the internal energy of the gas does not change. For an ideal gas, the internal energy depends only on its temperature. So the temperature of the gas remains unchanged at 300 K.