Question

10 kg of four different gases (Cl₂, CH₄, O₂, N₂) expand isothermally and reversibly from 20 atm to 10 atm. The order of amount of work will be ____________.

पर्याय

• Cl₂ > CH₄ > O₂ >N₂

• CH₄ < N₂ < O₂ < Cl₂

• O₂ > N₂ > CH₄ > Cl₂

• CH₄ > N₂ > O₂ > Cl₂

Answer 1

10 kg of four different gases (Cl₂, CH₄, O₂, N₂) expand isothermally and reversibly from 20 atm to 10 atm. The order of amount of work will be CH₄ > N₂ > O₂ > Cl₂.

Explanation:

Since molecular mass, CH₄ > N₂ > O₂ > Cl₂, so the order of number of moles would be reversed as work of expansion is given by

W = −P_ext × ΔV

P_extΔV = Δn_gRT

∴ W = −nRT, i.e, `"w" ∝ -"n"`

∴ The order of amount of work will be: CH₄ > N₂ > O₂ > Cl₂