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States of Matter - Diffusion

Grade 11A LevelChemistry

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

🔑Concepts

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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.

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The Kinetic Molecular Theory states that particles in liquids and gases are in constant, random motion. Collisions between particles lead to the spreading out of substances.

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The rate of diffusion is significantly higher in gases than in liquids because gas particles have more kinetic energy and there is more empty space between them.

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Temperature affects the rate of diffusion: As temperature increases, particles gain more kinetic energy (Ek=12mv2E_k = \frac{1}{2}mv^2), causing them to move faster and increasing the rate of diffusion.

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Molecular mass (Relative Molecular Mass, MrM_r) is a critical factor: At a constant temperature, lighter particles (those with lower MrM_r) travel faster and diffuse more quickly than heavier particles.

📐Formulae

Rate of diffusion∝1Mr\text{Rate of diffusion} \propto \frac{1}{\sqrt{M_r}}

Mr=∑Atomic Masses of all atoms in the moleculeM_r = \sum \text{Atomic Masses of all atoms in the molecule}

KE=12mv2KE = \frac{1}{2}mv^2

💡Examples

Problem 1:

In a long glass tube, a piece of cotton wool soaked in concentrated ammonia (NH3NH_3) is placed at one end, and cotton wool soaked in concentrated hydrochloric acid (HClHCl) is placed at the other. Predict where the white cloud of ammonium chloride (NH4ClNH_4Cl) will form.

Solution:

The white cloud of NH4ClNH_4Cl will form closer to the HClHCl end of the tube.

Explanation:

Calculating the relative molecular masses: Mr(NH3)=14+(3×1)=17M_r(NH_3) = 14 + (3 \times 1) = 17 and Mr(HCl)=1+35.5=36.5M_r(HCl) = 1 + 35.5 = 36.5. Since NH3NH_3 has a lower MrM_r than HClHCl, the NH3NH_3 molecules diffuse faster through the air in the tube and cover a greater distance than the HClHCl molecules in the same amount of time.

Problem 2:

Explain why a drop of food coloring spreads faster in a beaker of hot water compared to a beaker of cold water.

Solution:

The rate of diffusion is higher in the hot water beaker.

Explanation:

In hot water, the water molecules have higher thermal energy, which is converted into kinetic energy (EkE_k). This causes both the water particles and the dye particles to move and collide more vigorously, resulting in a faster net movement from the area of high concentration to low concentration.