P.6 - Molecules and Matter

Density

  • The density of a substance is defined as it's mass per unit volume

  • density = mass / volume

  • ρ = m / V

  • ρ is Greek letter ‘rho’ (not ‘P’)

  • density is measured in kilograms per metre cubed (kg / m3)

state of matter

arrangement

particle movement

density

intermolecular forces

compressed?

flow?

Solid

regular structure/ lattice

vibrate about fixed positions

high

strong

no

no - keeps shape

Liquid

irregular structure

particles are close

free flowing

medium

weak

no

yes - fills container’s shape

Gas

random arrangement

far apart

range of speeds in random directions

low

very weak

yes

yes - fills whole container

Changes of State

  • Impurities can change the melting and boiling point of substances e.g. melting point of water can be reduced by adding salts

  • Evaporation is different to boiling as it happens below the substance’s boiling point

Internal energy

  • Internal energy is the total kinetic energy and potential energy of all the particles (atoms and molecules) that make up a system

  • The kinetic energy of all the particles is due to their individual motion relative to each other

  • The potential energy of the particles is due to their individual position relative to each other

  • change in thermal energy = mass x specific heat capacity x temperature change

  • ΔE = mcΔθ

Specific Latent Heat

  • Energy is required to melt or boil a substance. The temperature does not rise during these changes of state

  • Different substances need different amounts of energy, and the energy required can be calculated using the substances specific latent heat

  • The amount of energy required depends on:

    o The mass of the substances

    o It’s specific latent heat (s.l.h)

  • Specific latent heat is the amount of energy that must be supplied to melt or boil 1kg of a substance without changing temperature

  • Specific latent heat of fusion - the amount of energy required to change the state of 1kg of solid to liquid

  • Specific latent heat of vaporisation - the amount of energy required to change the state of 1kg of liquid to gas

  • change in energy = mass of substance x s.l.h

  • ΔE = mL

  • measured in J / kg

Gas Pressure and Temperature

  • The pressure in fluids causes a force to be exerted normal (at right angles) to any surface

  • Gas pressure arises as a result of the following:

    o The particles in the gas move randomly and collide with the inside surface of the container

    o Each of these collisions exert a force on the surface of the container

    o This results in gas pressure which is the total force exerted per unit area of the surface

  • Work is the transfer of energy by a force

  • Doing work on a gas increases the internal energy of the gas and can cause an increase in temperature of the gas

  • When higher temperature:

    o More frequent collisions

    o Higher rate of collisions

    o More collisions per second

Gas Pressure and Volume

  • Pressure is inversely proportional to volume because when the volume is decreased, there will be more frequent collisions between the particles and the walls of the container as they don’t have to travel as far between collisions. Therefore, in a given time, the particles will exert a greater total force, and hence the pressure will be greater

  • This is only relevant at a constant temperature

  • If a gas is compressed quickly, the work done will increase the internal energy of the gas

  • If the gas is compressed slowly, the gas loses energy to the surroundings at the same rate that it gains it

  • The temperature of a gas can increase if it is compressed rapidly. This is because work is done on it, and the energy is not transferred quickly enough to the surroundings

  • pressure x volume = constant

  • pV = constant

  • pressure is measured in pascals (Pa)