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Physics Question on Thermodynamics

Consider the given diagram. An ideal gas is contained in a chamber (left) of volume V and is at an absolute temperature T. It is allowed to rush freely into the right chamber of volume V which is initially vacuum. The whole system is thermally isolated. What will be the final temperature of the system after the equilibrium has been attained ?

A

T

B

T2\frac{T}{2}

C

2T

D

T4\frac{T}{4}

Answer

T

Explanation

Solution

free expansion, ΔU=0,∴Ti=Tf\Delta U =0, \therefore T_{i} =T_{f}