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States of Matter & Gas Laws

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States of Matter & Gas Laws

Frenkel Defect

A point defect in which an ion leaves its lattice site and lodges in a nearby interstitial position.

Dimensionless
States of Matter & Gas Laws

Gas Density

The mass of a gas per unit volume, which for a gas depends strongly on temperature, pressure and molar mass.

ρ = pM / RT g/L
States of Matter & Gas Laws

Gaseous State

The state of matter in which particles are widely separated and move randomly at high speed, filling any container completely.

pV = nRT Dimensionless
States of Matter & Gas Laws

Gay-Lussac's Pressure Law

At constant volume, the pressure of a fixed mass of gas is directly proportional to its absolute temperature.

p₁ / T₁ = p₂ / T₂ Pa/K
States of Matter & Gas Laws

Graham's Law of Diffusion

The rate at which a gas diffuses or effuses is inversely proportional to the square root of its molar mass.

r₁ / r₂ = √(M₂ / M₁) Dimensionless
States of Matter & Gas Laws

Hexagonal Close Packing

A close-packed arrangement in which layers of spheres repeat in an ABAB sequence.

6 atoms per cell, 74% packing Dimensionless
States of Matter & Gas Laws

Ideal Gas

A hypothetical gas whose particles have zero volume and exert no intermolecular forces, obeying pV = nRT exactly at all conditions.

pV = nRT Dimensionless
States of Matter & Gas Laws

Ideal Gas Law

The equation of state relating the pressure, volume, amount and absolute temperature of an ideal gas.

pV = nRT Various
States of Matter & Gas Laws

Interstitial Void

An empty space between the packed spheres of a crystal lattice, capable of hosting a smaller ion or atom.

r_void / r_sphere = 0.225 or 0.414 Dimensionless
States of Matter & Gas Laws

Isomorphism

The property of two or more different substances crystallising in the same structural form.

Dimensionless
States of Matter & Gas Laws

Joule–Thomson Effect

The temperature change of a real gas when it expands through a throttle without exchanging heat or doing external work.

μ = (∂T/∂p)_H K/Pa
States of Matter & Gas Laws

Kinetic Molecular Theory

The model that explains gas behaviour in terms of large numbers of tiny particles in constant random motion.

pV = ⅓ Nmc̄² Dimensionless
States of Matter & Gas Laws

Latent Heat

The energy absorbed or released when a substance changes state, with no accompanying change in temperature.

q = m × L kJ/kg
States of Matter & Gas Laws

Liquefaction of Gases

The conversion of a gas into a liquid by cooling below its critical temperature and applying pressure.

K
States of Matter & Gas Laws

Liquid Crystal

A state of matter that flows like a liquid but retains some of the molecular ordering of a crystal.

Dimensionless
States of Matter & Gas Laws

Liquid State

The state of matter with a definite volume but no fixed shape, in which particles are close together yet free to move past one another.

Dimensionless
States of Matter & Gas Laws

Maxwell–Boltzmann Distribution

The statistical distribution describing how molecular speeds are spread within a gas at a given temperature.

f(v) ∝ v² e^(−mv² / 2kT) Dimensionless
States of Matter & Gas Laws

Melting Point

The temperature at which the solid and liquid phases of a substance coexist in equilibrium at a given pressure.

ΔG = 0 at T_m °C
States of Matter & Gas Laws

Packing Efficiency

The percentage of the total volume of a unit cell that is actually occupied by the constituent particles.

(volume of atoms / cell volume) × 100 Dimensionless
States of Matter & Gas Laws

Partial Pressure

The pressure that one component of a gas mixture would exert if it alone occupied the whole volume.

p_i = x_i × p_total Pa
States of Matter & Gas Laws

Phase Diagram

A pressure–temperature plot showing which phase of a substance is thermodynamically stable under any given conditions.

Pa, K
States of Matter & Gas Laws

Plasma

A state of matter consisting of a hot, electrically conducting mixture of ions and free electrons.

K
States of Matter & Gas Laws

Polymorphism

The ability of a single substance to exist in more than one crystalline form.

Dimensionless
States of Matter & Gas Laws

Real Gas

An actual gas whose behaviour deviates from the ideal gas law because its molecules occupy volume and attract one another.

Z = pV / nRT ≠ 1 Dimensionless