Question

An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁ and temperature T₁. The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂. If the partition is removed without doing any work on the gases, calculate the final equilibrium temperature of the container.

Answer 1

Let T be the equilibrium temperature and let n₁ and n₂ be the number of moles in vessels 1 and 2 respectively. As there is no loss of energy,

Substituting n and n values and solving, we get