Answer :
The rate at which the nitrogen dioxide, NO₂ will effuse is 64 mL/s
Graham's law of diffusion
This states that the rate of diffusion of a gas is inversely proportional to the square root of the molar mass i.e
R ∝ 1/ √M
R₁/R₂ = √(M₂/M₁)
Where
- R₁ and R₂ are the rates of each gas
- M₁ and M₂ are the molar mass of each gas
How to determine the rate at which nitrogen dioxide, NO₂ will deffuse
- Rate of N₂ (R₁) = 82 mL/s
- Molar mass of N₂ (M₁) = 28 g/mol
- Molar mass of NO₂ (M₂) = 46 g/mol
- Rate of NO₂ (R₂) =?
Applying the Graham's law of diffusion equation, we have:
R₁/R₂ = √(M₂/M₁)
82 / R₂ = √(46 / 28)
Cross multiply
82 = R₂√(46 / 28)
Divide both sides by √(46 / 28)
R₂ = 82 /√(46 / 28)
R₂ = 64 mL/s
Thus, nitrogen dioxide, NO₂ will effuse at 64 mL/s
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