Question

In an isothermal reversible expansion, if the volume of 96J of oxygen at 27°C is increased from 70 liter to 140 liter, then the work done by the gas will be 

(A) 300 R log_e⁽²⁾ 

(B) 81 R log_e⁽²⁾ 

(C) 2.3 × 900R log₁₀2 

(D) 100 R log₁₀⁽²⁾

Answer 1

Correct option: (C) 2.3 × 900 R log₁₀2

Explanation:

Isothermal process hence W = 2.303 nRT log₁₀(V₂ / V₁)

W = 2.3 (M/M₀)RT log₁₀[(140) / 70]

For oxygen, M₀ = 32 & given M = 96 gm

∴ W = 2.3(96 / 32)R(273 + 27) log₁₀2

= 2.3 × 900 R log₁₀2