Question

A certain amount of gas of volume V at 27°C temperature and pressure 2 × 10⁷ Nm^-2 expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use λ = 1.5) 

(A) 3.536 × 10⁵ Pa

(B) 3.536 × 10⁶ Pa

(C) 1.25 × 10⁶ Pa

(D) 1.25 × 10⁵ Pa

Answer 1

Correct option is (B) 3.536 × 10⁶ Pa

P₁ = 2 × 10⁷ Pa

P₁V₁ = P₂V₂ 

Since V₂ = 2V₁ Hence P₂ = P_1/2 (isothermal expansion