krit.club logo

States of Matter - Diffusion

Grade 12IGCSEChemistry

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

Diffusion is the net movement of particles from a region of higher concentration to a region of lower concentration, down a concentration gradient, as a result of their random movement.

According to the Kinetic Molecular Theory, particles in liquids and gases are in constant, random motion. In gases, particles travel in straight lines until they collide with other particles or the walls of the container.

The rate of diffusion is inversely proportional to the square root of the molar mass (MrM_r) of the particles. This principle is known as Graham's Law of Diffusion.

Temperature significantly affects the rate of diffusion. As temperature increases, particles gain more kinetic energy (EkE_k), leading to higher velocities (vv) and more frequent collisions, thus increasing the diffusion rate.

Diffusion occurs most rapidly in gases due to large intermolecular spaces and high velocities, slower in liquids because particles are closer together with stronger intermolecular forces, and is negligible in solids.

In a closed system involving the reaction of two gases like NH3NH_3 and HClHCl, a white ring of ammonium chloride (NH4ClNH_4Cl) forms closer to the HClHCl source because NH3NH_3 has a lower molecular mass and diffuses faster.

📐Formulae

Rate1Mr\text{Rate} \propto \frac{1}{\sqrt{M_r}}

Rate1Rate2=M2M1\frac{\text{Rate}_1}{\text{Rate}_2} = \sqrt{\frac{M_2}{M_1}}

Ek=12mv2E_k = \frac{1}{2}mv^2

vrms=3RTMv_{rms} = \sqrt{\frac{3RT}{M}}

💡Examples

Problem 1:

Compare the rates of diffusion of Hydrogen gas (H2H_2, Mr=2M_r = 2) and Oxygen gas (O2O_2, Mr=32M_r = 32) at the same temperature and pressure.

Solution:

RateH2RateO2=322=16=4\frac{\text{Rate}_{H_2}}{\text{Rate}_{O_2}} = \sqrt{\frac{32}{2}} = \sqrt{16} = 4

Explanation:

Using Graham's Law, the ratio of the rates is the square root of the inverse ratio of their molar masses. Hydrogen gas diffuses 44 times faster than Oxygen gas because it is significantly lighter.

Problem 2:

In an experiment, cotton wool soaked in concentrated NH3NH_3 (aq) and HClHCl (aq) are placed at opposite ends of a 100 cm100\text{ cm} glass tube. Where will the white smoke of NH4ClNH_4Cl form?

Solution:

The white smoke forms at a distance of approximately 60 cm60\text{ cm} from the NH3NH_3 end and 40 cm40\text{ cm} from the HClHCl end.

Explanation:

The molar mass of NH3NH_3 is 17 g/mol17\text{ g/mol} and HClHCl is 36.5 g/mol36.5\text{ g/mol}. Since NH3NH_3 is lighter, its particles move faster and cover a greater distance than the HClHCl particles in the same amount of time. Therefore, the reaction occurs closer to the HClHCl source.

Diffusion - Revision Notes & Key Formulas | IGCSE Grade 12 Chemistry