P6: Molecules and matter

6.1: Density

The density of a substance is defined as its mass per unit volume

It can be calculated using the equation: Density (kg/m cubed) = mass (kg) / volume (m cubed)

Objects with a density that is less than the density of a given liquid will float in that liquid (objects with a density less than 1000kg/m cubed will float in water)

6.2: States of matter

The 3 states of matter are solid, liquid and gas

Substances can change from 1 state to another when they're heated or cooled

Changes of state are physical changes because no new substances are produced

When a substance changes state, the number of particles in the substance stays unchanged, so the mass of the substance is the same before and after the change of state

In a solid, the particles vibrate about fixed positions so the solid has a fixed shape

In a liquid, the particles are in contact with each other but can move around at random - hence, a liquid doesn't have a fixed shape, and it can flow

In a gas, the particles are usually far apart and move about at random, much faster than particles in a liquid - so the density of gas is much less than that of a solid or liquid

The particles in a substance in its solid, liquid, or gas state have different amounts of energy depending on the state

For a given amount of a substance, its particles have the most energy in the gas state and the least energy in the solid state

6.3: Changes of state

The temperature at which a solid changes to a liquid is called the melting point - this is the same temperature at which the liquid changes to a solid, when it is called the freezing point

The temperature at which a liquid changes to a gas is called the boiling point - this is the same temperature at which a gas changes to a liquid (condenses)

Boiling takes place throughout a liquid at its boiling point - evaporation takes place from the surface of a liquid when its temperature is below its boiling point

Impurities change the melting and boiling points of a substance

For a substance to change state, energy must be transferred to or from the substance - this energy is called latent heat

Water freezes at 0 degrees C and boils at 100 degrees C

6.4: Internal energy

The internal energy of a substance is the total energy in the kinetic and potential energy stores of the particles in the substance

The particles in a substance have kinetic energy due to their individual motions relative to each other

The particles in a substance have potential energy due to their individual positions relative to each other

When a substance is heated the energy of its particles increases, so its internal energy increases

If the total kinetic energy of the particles increases, the temperature of the substance increases

If the substance changes state, the potential energy of its particles increases

For a solid

There are strong forces of attraction between the particles and each particle vibrates about a fixed position

When a solid is heated, the particles' energy stores increase and they vibrate more

For a liquid

There are weaker forces of attraction between the particles - the forces stop the particles moving completely away from each other, but they're not strong enough to hold the particles in a fixed structure

When a liquid is heated, some particles gain enough energy to break away from the other particles and are in a gas state

For a gas

The forces of attraction between the particles are negligible, so the particles of a gas are completely separate from each other

When a gas is heated, its particles gain kinetic energy and move faster

The particles in a gas collide with each other and with the walls of their container - during these collisions the particles exert a force, and hence a pressure, on the walls of the container

6.5: Specific latent heat

The latent heat of fusion is the energy required by a substance to change from a solid to a liquid, with no change in temperature

If the substance is cooled, and changes from a liquid to a solid, the latent heat is transferred to the surroundings

The specific latent heat of fusion is the energy needed to change 1 kg of the substance from a solid to a liquid, with no change in temperature

It's calculated using the equation: Specific latent heat of fusion (J/kg) = Energy needed (J) / mass (kg)

Latent heat of vaporisation is the energy required by a substance to change from a liquid to a vapour, with no change in temperature - if the substance is cooled, and changes from a vapour to a liquid, the latent heat is transferred to the surroundings

The specific latent heat of vaporisation is the energy needed to change 1 kg of the substance from a liquid to a vapour, with no change in temperature

The specific latent heat of vaporisation can be calculated using the same equation for specific latent heat of fusion

Simple experiments can be used to determine the specific latent heat of fusion and the specific latent heat of vaporisation of water - a low voltage heater is used to melt ice or boil water - the energy supplied can be measured using a joulemeter

Remember that 'specific' in this context indicates that the energy transferred 'per kg'

6.6: Gas pressure and temperature

The particles in a gas move at high speeds in random directions

The particles collide with each other and with the walls of their container, rebounding after each collision

Each collision exerts a tiny force on the surface of the container and there are millions of collisions every second

Pressure is force per unit area, so the total force from all the collisions produces a steady pressure on the walls of the container

If the temperature of the gas in a sealed container increases

The particles in the gas move faster and collide with the container walls with more force, causing the pressure to increase

There are more collisions each second with the walls of the container, also causing the pressure to increase

You can see how particles in a gas move about randomly by using a microscope to observe smoke particles in a smoke cell - the air particles collide with the smoke particles and cause them to move along unpredictable paths - this random motion is called Brownian motion

6.7: Gas pressure and volume

For a fixed mass of gas

The number of gas molecules is constant

If the temperature of the gas is constant, then the average speed of the gas molecules is constant

If the volume of a fixed gas is reduced

The molecules have less space to move in so they don't travel so far between collisions

So, the number of collisions per second increases

And so the total force per unit area (that is, the pressure) of the gas increases

The relationship between pressure and volume is: Pressure (Pa) x volume (m cubed)