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States of Matter - Kinetic particle theory

Grade 11IGCSEChemistry

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

🔑Concepts

All matter is composed of tiny particles (atoms, molecules, or ions) that are in constant, random motion.

In a solid, particles are packed in a regular lattice, vibrating about fixed positions with very low kinetic energy.

In a liquid, particles are close together but can slide past one another, allowing the substance to flow and take the shape of its container.

In a gas, particles are far apart and move rapidly in random directions; collisions between particles and container walls exert pressure.

Phase changes occur with energy transfer: melting (solidliquidsolid \rightarrow liquid), boiling/evaporation (liquidgasliquid \rightarrow gas), condensation (gasliquidgas \rightarrow liquid), freezing (liquidsolidliquid \rightarrow solid), and sublimation (solidgassolid \rightarrow gas as seen in CO2CO_2 or I2I_2).

Brownian motion refers to the random movement of visible particles (like smoke or pollen) suspended in a fluid, caused by collisions with invisible, fast-moving atoms or molecules.

Diffusion is the net movement of particles from a region of higher concentration to a region of lower concentration, driven by the random motion of particles.

The rate of diffusion depends on temperature (higher TT leads to faster diffusion) and the relative molecular mass (MrM_r) of the particles (lighter particles diffuse faster).

📐Formulae

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

P1V1=P2V2P_1V_1 = P_2V_2

Rate of Diffusion1Mr\text{Rate of Diffusion} \propto \frac{1}{\sqrt{M_r}}

T(K)=T(C)+273T(K) = T(^{\circ}C) + 273

💡Examples

Problem 1:

Explain why a white ring of ammonium chloride (NH4ClNH_4Cl) forms closer to the HClHCl end when aqueous ammonia (NH3NH_3) and hydrochloric acid (HClHCl) are placed at opposite ends of a glass tube.

Solution:

MrM_r of NH3=14+(3×1)=17NH_3 = 14 + (3 \times 1) = 17; MrM_r of HCl=1+35.5=36.5HCl = 1 + 35.5 = 36.5.

Explanation:

According to the kinetic particle theory, lighter gas particles move faster than heavier ones at the same temperature. Since NH3NH_3 has a lower relative molecular mass (1717) than HClHCl (36.536.5), the NH3NH_3 molecules diffuse faster through the air in the tube, meeting the HClHCl molecules closer to the HClHCl source.

Problem 2:

What happens to the pressure of a gas in a fixed-volume container if the temperature is increased from 300 K300\ K to 600 K600\ K?

Solution:

PTP1T1=P2T2P \propto T \Rightarrow \frac{P_1}{T_1} = \frac{P_2}{T_2}. If TT doubles, PP doubles.

Explanation:

Increasing the temperature increases the average kinetic energy (KEKE) of the gas particles. The particles move faster and collide with the container walls more frequently and with greater force, resulting in an increase in pressure.

Kinetic particle theory - Revision Notes & Key Formulas | IGCSE Grade 11 Chemistry