How will the First Law of Thermodynamics conclude the result if partition is removed ?

Question

A container is divided into compartments by a partition. The container is completely insulated so that there is no heat transfer. One portion contains gas at temperature T₁ and pressure p₁ while the other portion also has the same gas but at temperature T₂ and pressure p₂. 

How will the First Law of Thermodynamics conclude the result if partition is removed ?

Answer 1

According to First Law of Thermodynamics, 

δQ = δU + δW 

When partition removed, δQ = 0 

δW = 0 

∴ δU = 0.

Conclusion. There is conservation of internal energy