Question

An ideal gas in a thermally insulated vessel at internal pressure = P₁ , volume = V₁ and absolute temperature = T₁ expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P₂, V₂ and T₂, respectively. For this expansion, 

(A) q = 0 

(B) T₂ = T₁

(C) P₂ V₂ = P₁ V₁

(D) P₂ V₁^γ = P₁V₁^γ

Answer 1

Correct option (C) P₂V₂ = P₁ V₁

Explanation:

Since container is thermally insulated. So, q = 0, and it is a case of free expansion therefore W = 0 and 

∆ = E 0

So,T₁ = T₂

Also, P₁ P₁ = P2 P₂