Question

Two thermally insulated vessels 1 and 2 are filled with air at temperatures (T₁ , T₂), volume (V₁ , V₂) and pressure (P₁ , P₂) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

(a) T₁ + T₂

(b) (T₁ + T₂)/2

(c) (T₁T₂(P₁V₁ + P₂V₂))/(P₁V₁T₂ + P₂V₂T₁)

(d) (T₁T₂(P₁V₁ + P₂V₂))/(P₁V₁T₁ +P₂V₂T₂).

Answer 1

(c) : For the system, the total number of moles remains constant.