Cambridge IGCSE0625

Thermal properties and temperature

Physics 0625 Chapter Notes

What this chapter covers

Thermal properties and temperature - Thermal expansion of solids, liquids and gasesThermal properties and temperature - Specific heat capacityThermal properties and temperature - Melting, boiling and evaporation
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1. Temperature, Kinetic Energy, and Absolute Zero

Temperature is a measure of the average kinetic energy of the particles within a substance. The faster the particles are moving or vibrating, the higher the temperature. We use fixed points, like the melting point of ice (0 °C) and the boiling point of water (100 °C), to define temperature scales. If you cool a substance down, its particles slow down. The theoretical point at which particles stop moving as much as possible is called absolute zero. This is the starting point for the Kelvin scale, which is used in scientific work. A change of one Kelvin (1 K) is the same size as a change of one degree Celsius (1 °C).

T(K) = T(°C) + 273

Key term

Absolute Zero: The lowest possible temperature (0 K or -273°C) at which particles have their minimum possible kinetic energy.

Examiner insight

Examiners expect you to clearly link higher temperatures to higher average kinetic energy of particles, not just state that particles 'move more'.

Common pitfall

Confusing heat with temperature. Temperature is a measure of the average kinetic energy of particles, while heat is the energy transferred due to a temperature difference.

Worked example 12 marks

A comfortable room temperature is 22 °C. What is this temperature on the Kelvin scale?

  1. 1

    Start with the conversion formula: T(K) = T(°C) + 273.

  2. 2

    Substitute the Celsius temperature into the formula: T(K) = 22 + 273.

  3. 3

    Calculate the result: T(K) = 295 K.

Worked example 22 marks

Liquid nitrogen boils at 77 K. What is its boiling point in degrees Celsius?

  1. 1

    Rearrange the conversion formula: T(°C) = T(K) - 273.

  2. 2

    Substitute the Kelvin temperature into the formula: T(°C) = 77 - 273.

  3. 3

    Calculate the result: T(°C) = -196 °C.

Recap

  • Temperature measures the average kinetic energy of particles.
  • Absolute zero (0 K or -273 °C) is the lowest possible temperature.
  • The melting point of water is 0 °C or 273 K.
  • The boiling point of water is 100 °C or 373 K.
  • To convert from Celsius to Kelvin, add 273.
  • To convert from Kelvin to Celsius, subtract 273.

Quick check

  1. What is the temperature change in Kelvin when a substance cools from 50 °C to 20 °C?1 mark
  2. What physical quantity is temperature a measure of?1 mark

2. Thermal Expansion

When most substances are heated, their particles gain kinetic energy, vibrate more, and push each other further apart. This causes the substance as a whole to expand (increase in size). This is called thermal expansion. For the same temperature rise, gases expand the most, followed by liquids, and then solids. This effect has important consequences. For example, gaps must be left in bridges and railway lines to allow for expansion in hot weather, preventing them from buckling. Thermal expansion is also useful, for instance in bimetallic strips used in thermostats, which bend when heated to operate a switch.

Key term

Thermal Expansion: The tendency of matter to increase in volume in response to an increase in temperature.

Examiner insight

Marks are often awarded for explaining expansion in terms of particles gaining kinetic energy and increasing the average separation between them.

Common pitfall

Forgetting that water is an exception and expands when it freezes (from 4°C to 0°C), although it expands like other liquids when heated above 4°C.

Fun fact

The Eiffel Tower is about 15 cm taller in the summer than in the winter due to the thermal expansion of its iron structure.

Worked example 13 marks

A long steel bridge is constructed in sections with small gaps between them. Explain why these gaps are necessary.

  1. 1

    On a hot day, the temperature of the steel bridge increases.

  2. 2

    The steel absorbs thermal energy, causing its particles to vibrate with greater amplitude and move further apart.

  3. 3

    This causes the steel sections to undergo thermal expansion and increase in length.

  4. 4

    The gaps provide space for this expansion to occur safely. Without them, huge compressive forces would build up, causing the bridge to buckle and become damaged.

Worked example 23 marks

A glass jar has a tight metal lid. Running hot water over the lid makes it easier to open. Explain why.

  1. 1

    When hot water is run over the lid, both the metal lid and the glass jar are heated.

  2. 2

    Metals generally expand more than glass for the same temperature increase.

  3. 3

    Therefore, the metal lid expands more than the glass jar, loosening its grip and making it easier to unscrew.

Recap

  • Most materials expand when heated and contract when cooled.
  • Expansion occurs because particles gain kinetic energy and move further apart.
  • Gases expand more than liquids, and liquids expand more than solids for a given temperature change.
  • Thermal expansion must be considered in engineering, such as in bridges and buildings.
  • The principle of thermal expansion is used in devices like thermostats.

Quick check

  1. Name one problem caused by thermal expansion.1 mark
  2. Why does a bimetallic strip bend when heated?2 marks

3. Gas Pressure and Temperature

Gas pressure is the result of countless tiny collisions. The particles in a gas are in constant, random motion at high speeds. They collide with each other and with the walls of their container. Each collision with a wall exerts a tiny force. The total effect of all these collisions over the area of the walls creates the pressure of the gas. If you heat a gas in a fixed container (constant volume), its particles gain kinetic energy and move faster. This means they hit the walls harder and more often, increasing the pressure. If you heat a gas but allow it to expand (constant pressure), its volume will increase.

p₁/T₁ = p₂/T₂ (for a gas at constant volume)

V₁/T₁ = V₂/T₂ (for a gas at constant pressure)

Key term

Gas Pressure: The force exerted by a gas per unit area on the walls of its container, caused by the collisions of gas particles.

Examiner insight

To earn full marks when explaining pressure changes, students must mention both the change in the frequency of collisions and the change in the force of each collision.

Common pitfall

Forgetting to use the Kelvin temperature scale when dealing with gas law relationships. A change from 1°C to 2°C is not a doubling of absolute temperature.

Worked example 14 marks

A sealed aerosol can contains gas at room temperature. Explain, in terms of particles, why it is dangerous to leave it in direct sunlight.

  1. 1

    In direct sunlight, the can and the gas inside it absorb thermal energy, and their temperature increases.

  2. 2

    The gas particles gain kinetic energy and move much faster.

  3. 3

    This causes the particles to collide with the inner walls of the can more frequently and with greater force.

  4. 4

    This significant increase in the rate and force of collisions leads to a large increase in the pressure inside the can.

  5. 5

    If the pressure becomes too high, it can exceed the strength of the can, causing it to explode.

Recap

  • Gas pressure is caused by particles colliding with the container walls.
  • Increasing the temperature of a gas increases the kinetic energy and speed of its particles.
  • For a gas at constant volume, increasing temperature increases pressure.
  • For a gas at constant pressure, increasing temperature increases volume.
  • When explaining gas pressure changes, mention both collision frequency and collision force.
  • All calculations involving gas laws must use temperature in Kelvin (K).

Quick check

  1. A balloon is left in a cold room. What will happen to its volume? Explain why.2 marks
  2. What happens to the average speed of gas molecules when a gas is heated?1 mark

4. Specific Heat Capacity

Different materials require different amounts of energy to heat up. The 'specific heat capacity' (symbol 'c') of a substance is the amount of thermal energy needed to raise the temperature of 1 kg of that substance by 1 °C (or 1 K). A substance with a high specific heat capacity, like water (c = 4200 J/kg°C), needs a lot of energy to get hot and cools down slowly. A substance with a low specific heat capacity, like copper (c = 400 J/kg°C), heats up and cools down quickly. We can calculate the energy transferred using the equation: Energy transferred (E) = mass(m) × specific heat capacity(c) × temperature change (ΔT).

E = mcΔT

Key term

Specific Heat Capacity: The energy required to raise the temperature of one kilogram of a substance by one degree Celsius (or one Kelvin).

Examiner insight

Examiners look for correct substitution into the formula E = mcΔT, including calculating the temperature change (ΔT) correctly before substituting.

Common pitfall

Mixing up specific heat capacity (energy per kg per degree) with thermal capacity (energy per degree for a whole object). Ensure you use the mass in the calculation for specific heat capacity.

Fun fact

The high specific heat capacity of water helps regulate Earth's climate. Oceans absorb huge amounts of heat in summer and release it slowly in winter, preventing extreme temperatures.

Worked example 13 marks

Calculate the thermal energy required to heat a 0.8 kg block of aluminium from 20 °C to 100 °C. The specific heat capacity of aluminium is 900 J/(kg °C).

  1. 1

    Identify the formula: E = mcΔT.

  2. 2

    List the known values: m = 0.8 kg, c = 900 J/(kg °C).

  3. 3

    Calculate the temperature change: ΔT = 100 °C - 20 °C = 80 °C.

  4. 4

    Substitute the values into the formula: E = 0.8 × 900 × 80.

  5. 5

    Calculate the result: E = 57,600 J (or 57.6 kJ).

Worked example 23 marks

A hot water bottle contains 1.5 kg of water at 80 °C. It cools down to 25 °C overnight. Calculate the energy it has released. The specific heat capacity of water is 4200 J/(kg °C).

  1. 1

    Identify the formula: E = mcΔT.

  2. 2

    List the known values: m = 1.5 kg, c = 4200 J/(kg °C).

  3. 3

    Calculate the temperature change: ΔT = 80 °C - 25 °C = 55 °C.

  4. 4

    Substitute the values into the formula: E = 1.5 × 4200 × 55.

  5. 5

    Calculate the result: E = 346,500 J (or 346.5 kJ).

Recap

  • Specific heat capacity (c) is the energy needed to heat 1 kg of a substance by 1 °C.
  • The formula for calculating energy transferred is E = mcΔT.
  • Water has a high specific heat capacity, meaning it stores a lot of energy.
  • Metals have low specific heat capacities, so they heat up quickly.
  • The unit for specific heat capacity is J/(kg °C) or J/(kg K).

Quick check

  1. Which has a higher specific heat capacity, water or copper?1 mark
  2. If 1000 J of energy is supplied to 1 kg of two different metals, which one will have the larger temperature rise: the one with the higher or lower specific heat capacity?1 mark

5. Evaporation, Condensation and Cooling

Evaporation is the process where a liquid turns into a gas from its surface, without boiling. Inside a liquid, particles have a range of kinetic energies. The 'fastest' (most energetic) particles at the surface can have enough energy to overcome the forces holding them in the liquid and escape as a gas. Because the most energetic particles leave, the average kinetic energy of the remaining particles decreases. This means the temperature of the remaining liquid drops, which is why evaporation causes cooling. This process can be sped up by increasing temperature, increasing surface area, or increasing airflow over the surface. Condensation is the opposite: a gas turns into a liquid when its particles cool, slow down, and are captured by intermolecular forces.

Key term

Evaporation: The process of a liquid turning into a gas at its surface, below the boiling point, which causes cooling.

Examiner insight

Top marks for explaining the cooling effect of evaporation are given to students who explicitly state that the *most energetic* particles escape, thus lowering the *average* kinetic energy of the remaining particles.

Common pitfall

Confusing evaporation with boiling. Boiling happens throughout the liquid at a specific temperature, while evaporation happens only at the surface and can occur at any temperature.

Worked example 13 marks

Explain why you feel cold when you get out of a swimming pool, even on a warm day.

  1. 1

    After leaving the pool, your skin is covered in a layer of water.

  2. 2

    This water begins to evaporate, turning from a liquid into a gas (water vapour).

  3. 3

    Evaporation requires energy. The most energetic water molecules escape from the surface.

  4. 4

    This energy is taken from your skin, causing your skin's temperature to drop and making you feel cold.

Worked example 22 marks

State two differences between evaporation and boiling.

  1. 1

    Difference 1: Evaporation occurs at any temperature below the boiling point, whereas boiling occurs only at a specific temperature (the boiling point).

  2. 2

    Difference 2: Evaporation occurs only at the surface of the liquid, whereas boiling occurs throughout the entire volume of the liquid, forming bubbles.

Recap

  • Evaporation is a liquid turning into a gas from the surface.
  • Evaporation causes cooling because the most energetic particles escape.
  • The rate of evaporation is increased by higher temperature, larger surface area, and more airflow.
  • Condensation is a gas turning into a liquid upon cooling.
  • Boiling happens at a fixed temperature throughout the liquid, while evaporation happens at any temperature from the surface.

Quick check

  1. Name one factor that increases the rate of evaporation.1 mark
  2. Why does blowing on hot soup help it to cool down?2 marks

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. Convert a temperature of 20 °C into Kelvin.2 marks
  2. Explain why a bimetallic strip made of steel and brass bends when heated.2 marks
  3. A person feels cold after having a shower. Explain in terms of particles how the process of evaporation causes this cooling effect.3 marks
  4. A 2.0 kg block of copper is at an initial temperature of 25 °C. It absorbs 38,000 J of thermal energy. Calculate the final temperature of the copper block. The specific heat capacity of copper is 385 J/(kg °C).4 marks
  5. Explain, using the kinetic theory of matter, why the pressure of a fixed mass of gas in a sealed, rigid container increases when its temperature is increased.4 marks
  6. Describe two main differences between the process of boiling and the process of evaporation.4 marks
  7. An electric heater is used to heat a 1.2 kg block of aluminium. The initial temperature of the block is 15 °C. The heater supplies energy at a rate of 200 W (200 J/s). Assuming all the energy is transferred to the block, calculate the time it takes for the block to reach a temperature of 85 °C. The specific heat capacity of aluminium is 900 J/(kg °C).5 marks
  8. A car tyre has a pressure of 220 kPa when the temperature is 10 °C. After a long journey, the temperature of the air inside the tyre rises to 60 °C. Calculate the new pressure inside the tyre in kPa. Assume the volume of the tyre does not change.4 marks
  9. A bridge designer leaves small gaps in the roadway of a long steel bridge. Explain the purpose of these gaps and describe what happens to the size of the gaps on a very cold day.3 marks
  10. What is meant by the term 'absolute zero' in terms of particle motion?1 mark

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