Question

The rate of diffusion of a gas is __________ proportional to both _________ and a square root of molecular mass.

Answer 1

Hint :We know that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. Gas with the lowest molar mass will have the highest rate of diffusion. Graham's law states that the rate of diffusion of a gas is inversely proportional to the square root of its molecular weight.

Complete Step By Step Answer:
Gaseous particles tend to undergo diffusion because they have kinetic energy. Diffusion is faster at higher temperatures because the gas molecules have greater kinetic energy. Graham’s Law states that the effusion rate of a gas is inversely proportional to the square root of the mass of its particles. The value of compression of two gases, the rate of diffusion through a fine hole. The rate of diffusion depends on several factors such as the concentration gradient (the increase or decrease in concentration from one point to another), the amount of surface area available for diffusion, and the distance the gas particles must travel.
Therefore, the rate of diffusion of a gas is inversely proportional to both time and square root of molecular mass. It is also inversely proportional to the square root of density. But it is directly proportional to pressure.

Note :
Remember that the formula for calculating the rate of diffusion i.e. Graham's law of diffusion is used when the diffusion of gases happens at the same conditions like temperature, pressure etc. The rate of diffusion is inversely proportional to molecular mass to avoid errors while calculating the ratio of rate of diffusions of two gases.