P3 – Particle Model Of Matter

🧊 Density

Density tells you how much mass is packed into a given volume.
It explains why some objects float and others sink!

Formula:
density = mass / volume
ρ = m / V

Units:

  • Mass in kilograms (kg)
  • Volume in cubic metres (m³)
  • Density in kilograms per cubic metre (kg/m³)

Typical densities:

  • Solids: high density (particles tightly packed)
  • Liquids: medium density
  • Gases: low density (particles far apart)

💨 Change of State

Changing between solid, liquid, and gas involves energy, not a change in mass.
When a substance changes state:

  • Energy is transferred to or from particles.
  • The temperature stays the same during the change (energy used to break or form bonds).

Processes:

  • Melting (solid → liquid)
  • Freezing (liquid → solid)
  • Boiling / Evaporating (liquid → gas)
  • Condensing (gas → liquid)
  • Sublimation (solid → gas directly)

📉 Heating and Cooling Curves

A heating or cooling curve shows how temperature changes as a substance is heated or cooled.

  • Flat lines: temperature constant (change of state).
  • Sloped lines: temperature changing (particles gaining or losing kinetic energy).

Energy added during flat sections goes into changing the state, not temperature.


🌡️ Specific Heat Capacity

The specific heat capacity is the energy needed to raise the temperature of 1 kg of a substance by 1°C.

Formula:
ΔE = m × c × Δθ
(Change in energy = mass × specific heat capacity × temperature change)

Units:

  • Energy (Joules, J)
  • Mass (kg)
  • Temperature change (°C or K)
  • Specific heat capacity (J/kg°C)

Substances with a high specific heat capacity (like water) take longer to heat up or cool down.


🔥 Specific Latent Heat

The latent heat is the energy needed to change the state of 1 kg of a substance without changing its temperature.

Formula:
E = m × L
(Energy = mass × specific latent heat)

Types of latent heat:

  • Latent heat of fusion: solid ↔ liquid
  • Latent heat of vaporisation: liquid ↔ gas

Units:

  • Energy (Joules)
  • Mass (kg)
  • Latent heat (J/kg)

💨 Particle Motion in Gases

Gas particles are in constant random motion.
Their movement causes pressure when they collide with container walls.

  • Increasing temperature → increases particle speed → more frequent and forceful collisions → higher pressure.
  • Decreasing temperature → slower particles → lower pressure.

Average kinetic energy of particles is directly proportional to temperature (in kelvins).


🧪 Required Practical: Density

Aim: Measure the density of regular and irregular objects.

Method (regular object):

  1. Measure mass using a balance.
  2. Measure length, width, and height using a ruler.
  3. Calculate volume (V = l × w × h).
  4. Use ρ = m / V to find density.

Method (irregular object):

  1. Measure mass.
  2. Submerge object in water in a measuring cylinder.
  3. Record displaced water volume.
  4. Use ρ = m / V.

🧪 Required Practical: Specific Heat Capacity

Aim: Determine the specific heat capacity of a material.

Equipment: Heater, power supply, thermometer, ammeter, joulemeter.

Method:

  1. Measure the mass of the block.
  2. Insert a heater and thermometer.
  3. Record voltage, current, and time.
  4. Calculate energy: E = V × I × t.
  5. Measure temperature change.
  6. Calculate specific heat capacity using c = E / (m × Δθ).
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