An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume 
and contains ideal gas at pressure 
and temperature 
. The other chamber has volume 
and contains ideal gas at pressure 
and temperature 
. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be
Text Solution
Verified by ExpertsA
As no work is done and system is thermally insulated from surrounding, it means sum of internal energy of gas in two partitions is constant, i.e.
.
Assuming both gases have same degree of freedom, then
Internal energy, 
and 
Solving, we get
Common temperature, 
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