Question

An ideal gas passes from one equilibrium state (P₁ , V₁ , T₁ , N) to another equilibrium state (2P₁ , 3V₁ , T₂ , N). Then ………

(a) T₁= T₂

(b) T₁ = \(\frac{T_2}{6}\)

(c) T₁ = 6T₂

(d) T₁ = 3T₂

Answer 1

(b) T₁ = \(\frac{T_2}{6}\)

From ideal gas equation, PV = NkT 

One equilibrium state (P₁ , V₁ , T₁ , N) Another equilibrium state (P₂ , V₂ , T₂ , N) 

P₂ = 2P₁ , and V₂ = 3V₁