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1.1 Heat vs temperature: what we are really moving

Key idea: Temperature tells us how hot something is; heat is the energy that flows because of a temperature difference.

Temperature is a measure of how fast the molecules in a substance are moving. We measure it in degrees Celsius (°C) or kelvin (K). A thermometer reads temperature, not heat.

Heat is energy in transit. It always flows from a hotter body to a colder body, on its own. We measure heat in joules (J), kilojoules (kJ) or kilowatt-hours (kWh).

Think of a cup of chai and a full bucket of bath water, both at 60 °C. They have the same temperature. But the bucket holds far more heat, because it has far more water.

A heat pump does not "make" heat. It moves heat from a cooler place, like outdoor air, into a warmer place, like a hot water tank. That is why we always ask: how much heat, at what temperature?

The kelvin scale starts at absolute zero, the coldest possible temperature. 0 K = −273.15 °C. A temperature difference of 1 K is the same size as 1 °C.

Same temperature, very different amounts of heat
Same temperature, very different amounts of heat
Quantity What it tells you Unit (SI) Measured with
Temperature How hot or cold °C or K Thermometer, sensor
Heat (energy) How much energy moved kJ, kWh Calculated or heat meter
Heat rate (power) How fast energy moves kW Calculated or heat meter

Worked example — heat stored in a bucket vs a cup

Equation

  • Water specific heat, cp = 4.186 kJ/kg·K (typical value near room temperature).
  • Cup: Q = 0.2 × 4.186 × (60 − 0) = 50.2 kJ.
  • Bucket: Q = 20 × 4.186 × (60 − 0) = 5,023 kJ.
  • Same temperature, but the bucket holds 100 times more heat.

Remember

  • Temperature is a level; heat is a quantity of energy.
  • Heat flows naturally from hot to cold only.
  • A temperature difference of 1 K equals a difference of 1 °C.
  • A heat pump moves heat; it does not create it.
Common mistake: Saying "this geyser has more temperature". Say it has a higher temperature, or more heat stored.

Temperature tells us how hot something is; heat is the energy that flows because of a temperature difference.

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