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Heat calculations

Heat questions look like plugging numbers into a formula until the units, a flat graph section or a loss of energy changes the answer.

On this page
  1. What do I need to know first?
  2. One orienting worked example
  3. In what order should I study the lessons?
  4. Which traps catch most students?
  5. How should I use the practice set?

This topic turns the ideas of thermal energy into numbers. You calculate how much energy changes the temperature of a material, read what a heating graph is telling you, handle the energy needed to melt or boil a substance, and explain why a real experiment never matches the ideal answer exactly.

The exact equations and the level of detail depend on your syllabus year, including whether latent heat calculations are required for your route. Check the current Cambridge IGCSE Physics 0625 page for your exam year. The Physics learning guide shows where this module sits in the whole subject.

What do I need to know first?

You need the ideas in thermal processes: thermal energy moves from hotter to cooler places, and particles in solids, liquids and gases store energy differently. You also need energy and power from work, energy and efficiency, because power × time = energy.

Comfort with unit conversion matters more than anything else here. Grams to kilograms and kilojoules to joules cost more marks in this topic than the physics does.

One orienting worked example

A heater rated 2100 W warms 0.50 kg of water for 40 s with no energy lost. (Invented example data.) The specific heat capacity of water is 4200 J/kg °C. By how much does the temperature rise?

Step 1, energy supplied: E = P × t = 2100 × 40 = 84 000 J.

Step 2, choose the relationship: energy = mass × specific heat capacity × temperature change, so temperature change = E ÷ (m × c).

Step 3, calculate: m × c = 0.50 × 4200 = 2100 J/°C. Temperature change = 84 000 ÷ 2100 = 40 °C.

Step 4, check: 0.50 × 4200 × 40 = 84 000 J, which matches the energy supplied. The answer is 40 °C.

Every lesson in this module is a variation on those four moves: find the energy, pick the model, calculate with compatible units, then check against the data.

In what order should I study the lessons?

  1. Use specific heat capacity with compatible units: the core equation and the unit habits everything else depends on.
  2. Interpret an energy-temperature slope: reads the same equation from a graph, so a gradient becomes a value of mass × specific heat capacity.
  3. Distinguish a temperature change from a phase change: explains why a heating curve goes flat while energy is still supplied.
  4. Calculate latent energy where in scope: the equation for melting and boiling, and how to combine it with the first one.
  5. Identify energy losses as a limitation of a model: explains why measured values differ from the ideal and what that does to a calculated result.

Then test yourself with the heat calculations practice set.

Which traps catch most students?

  • Leaving mass in grams while using a specific heat capacity in J/kg °C.
  • Using the final temperature instead of the temperature change.
  • Applying the temperature-change equation to a flat section of a heating curve, where the change is zero but energy is still being transferred.
  • Reading the gradient of a temperature-against-energy graph as mass × specific heat capacity, when it is the reciprocal.
  • Treating a measured value of specific heat capacity as exact when some of the energy escaped to the surroundings.

How should I use the practice set?

Write every equation and the unit on each answer line, then open the worked answer. Use the error-routing section at the end to return to the right lesson. Afterwards, log any repeated slip in the mistake log and retest queue so it comes back later as a fresh question.

Students who know every equation yet still lose marks at the units or the graph can gain from a teacher watching the working as it happens. That is what our online one-to-one Physics tuition is designed to offer.

Sources

  1. Cambridge IGCSE Physics 0625 syllabus page

Updated:

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