You have a large container that has two partitions inside separated by
an insulating wall. All the sides of the container are also thermal insulators. The left
side has a volume of V0 and the right side has a volume of
2V0. The left partition contains one mole of a monatomic gas
that is initially at an absolute temperature of n1T0.
The right partition contains n2 moles of the same gas, but at
a temperature of T0. Now someone pokes a hole in the wall between the
two partitions, the gases can mix, and the system comes to thermal equilibrium. If the
final temperature of the system is Tfinal=n3T0,
what is n3? Note that n1, n2, and
n3 are unitless.
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