Question

Which gas will diffusion faster within a system?

Carbon dioxide
Water vapor
Ammonia (NH3)
Methane(CH4)

Answer 1

Methane(CH₄).

Step-by-step explanation:

• Thomas Graham found that, at a constant temperature and pressure the rates of effusion of various gases are inversely proportional to the square root of their masses.

∨ ∝ 1/√M.

where, ∨ is the rate of diffusion of the gas.

M is the molar mass of the gas.

∨₁/∨₂ = √(M₂/M₁)

• The molar mass of different choices:

Carbon dioxide: 44.01 g/mol.

Water vapor : 18.0 g/mol.

Ammonia (NH₃): 17.0 g/mol.

Methane(CH₄): 16.0 g.mol.

Since, methane has the lowest molar mass. So, it will diffuse faster within a system.