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Chemistry - States of Matter

Grade 7Cambridge (IGCSE)

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

🔑Concepts

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Matter is made up of tiny particles (atoms, molecules, or ions) that are in constant motion, a principle known as the Kinetic Molecular Theory.

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Solids have a fixed shape and volume because particles are closely packed in a regular lattice and only vibrate about fixed positions.

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Liquids have a fixed volume but take the shape of their container because particles are close together but can move past each other.

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Gases have no fixed shape or volume and are highly compressible because particles are far apart and move rapidly in random directions.

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Changes of state occur when energy is added or removed: Melting (Solid→LiquidSolid \rightarrow Liquid), Boiling (Liquid→GasLiquid \rightarrow Gas), Freezing (Liquid→SolidLiquid \rightarrow Solid), and Condensation (Gas→LiquidGas \rightarrow Liquid).

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Sublimation is the direct change from a solid to a gas without becoming a liquid, such as with Dry Ice (CO2CO_2) or Iodine (I2I_2).

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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.

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The rate of diffusion is affected by temperature and molecular mass; lighter particles, like NH3NH_3, diffuse faster than heavier particles, like HClHCl.

📐Formulae

Density (ρ)=mass (m)volume (V)\text{Density } (\rho) = \frac{\text{mass } (m)}{\text{volume } (V)}

Pressure (P)=Force (F)Area (A)\text{Pressure } (P) = \frac{\text{Force } (F)}{\text{Area } (A)}

Ek=12mv2 (Kinetic Energy of a particle)E_k = \frac{1}{2}mv^2 \text{ (Kinetic Energy of a particle)}

T(K)=T(∘C)+273.15T(K) = T(^{\circ}C) + 273.15

💡Examples

Problem 1:

A sample of gas is cooled. Describe what happens to the EkE_k of the particles and the distance between them.

Solution:

The average kinetic energy (EkE_k) decreases, and the particles move closer together.

Explanation:

As temperature drops, particles lose thermal energy, reducing their velocity (vv). In most cases, this leads to a decrease in intermolecular distance as the substance transitions from gas to liquid.

Problem 2:

In an experiment, cotton wool soaked in Ammonia (NH3NH_3) and cotton wool soaked in Hydrochloric Acid (HClHCl) are placed at opposite ends of a glass tube. Where will the white cloud of Ammonium Chloride (NH4ClNH_4Cl) form?

Solution:

The white cloud forms closer to the HClHCl end.

Explanation:

Ammonia (NH3NH_3) has a lower relative molecular mass (Mr≈17M_r \approx 17) compared to Hydrochloric acid (HCl,Mr≈36.5HCl, M_r \approx 36.5). According to the kinetic theory, lighter particles diffuse faster than heavier ones at the same temperature.

Problem 3:

Calculate the density of a solid block that has a mass of 200 g200\text{ g} and a volume of 40 cm340\text{ cm}^3.

Solution:

ρ=200 g40 cm3=5 g/cm3\rho = \frac{200\text{ g}}{40\text{ cm}^3} = 5\text{ g/cm}^3

Explanation:

Density is calculated by dividing the total mass by the total volume occupied by the particles in the solid state.