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Heat & Temperature

Heat and temperature, temperature scales and conversions, thermometers, thermal expansion (linear, area, volume; anomalous expansion of water), specific heat capacity and calorimetry, change of state and latent heat, transfer of heat (conduction, convection, radiation) and their applications, laws of thermodynamics in outline, humidity, and frequently asked facts with worked numericals.

📑 Contents (9 sections)

Last reviewed 30 Sept 2026 · 8 min read

Heat and temperature

Heat is the form of energy that flows from a hotter body to a colder body because of a temperature difference. Its SI unit is the joule (J); the older unit is the calorie (1 cal ≈ 4.18 J). The kilocalorie (Cal) is used for food energy.

Temperature is the degree of hotness or coldness of a body; it tells the direction in which heat will flow. It is a measure of the average kinetic energy of the molecules. Its SI unit is the kelvin (K).

Heat Temperature
Nature energy in transit measure of hotness
Depends on mass, temperature difference, material only the state of hotness
Unit joule / calorie kelvin / °C / °F
Instrument calorimeter thermometer

Temperature scales

Scale Freezing point of water Boiling point of water
Celsius (°C) 0 100
Fahrenheit (°F) 32 212
Kelvin (K) 273.15 373.15

Conversions:

Absolute zero is 0 K = −273.15 °C, the lowest possible temperature, at which molecular motion is (classically) minimal. −40 °C equals −40 °F. The normal human body temperature is about 37 °C = 98.6 °F.

Worked ExampleExample — conversion

Convert 104 °F to °C and K.

Solution. ; .

Thermometers

  • Mercury-in-glass: mercury expands uniformly, does not wet glass, is opaque and a good conductor; range about −39 °C (freezing) to 357 °C.
  • Alcohol thermometer: for very low temperatures (freezes at −115 °C).
  • Clinical thermometer: reads 35–42 °C; has a constriction near the bulb so that the mercury does not fall back; must be shaken down.
  • Maximum–minimum (Six's) thermometer: records the highest and lowest temperature of a day.
  • Pyrometer: measures very high temperatures (furnaces, the Sun) without contact.
  • Platinum resistance thermometer: wide range; used in laboratories.
  • Thermocouple: two different metals joined; uses the thermoelectric effect.

Thermal expansion

Most substances expand when heated and contract when cooled.

  • Linear expansion: , where is the coefficient of linear expansion.
  • Area expansion: ; volume expansion: .
  • Gases expand most, liquids less, solids least for the same rise in temperature.
  • Applications and precautions: gaps between rails and expansion joints in bridges; iron rims fitted on cartwheels by heating; bimetallic strips in thermostats and fire alarms (two metals with different bend on heating); overhead wires are kept slack; a glass tumbler cracks when hot water is poured suddenly into it (uneven expansion); Pyrex glass has a low expansion coefficient.

Anomalous expansion of water

Water contracts when heated from 0 °C to 4 °C and expands above 4 °C, so it has its maximum density at 4 °C. Therefore in winter lakes freeze from the top; the layer at the bottom remains at 4 °C, which lets aquatic life survive. Ice is less dense than water and floats.

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