An ideal gas is originally confined to a volume V1 in a twoc

An ideal gas is originally confined to a volume V_1 in a two-chamber insulated container of total volume V_1 + V_2. The remainder of the container is evacuated. The partition between V_1 and V_2 is removed and the gas expands to fill the entire container. If the initial temperature of the gas was T, what is the final temperature? Justify your response using equations or by stating concepts.

Solution

This is the process of adiabetic free expansion of an ideal gas. The internal energy does not change, thus the temperature does not change.That is why, the final temperature is still T.