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All lessons Thermodynamics22 min

Temperature and Heat

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← ResonanceSpecific Heat Capacity →
01
Hook
02
Explore
03
Formalize
04
Practice
05
Challenge
Interactive simulation
01

Hook

Imagine grabbing a metal railing on a winter morning and a wooden fence post right next to it. The metal feels painfully cold; the wood feels almost fine. A thermometer shoved against each one reads the same: 2°C. Same temperature — so why does your hand feel like it's being burned by the metal one?

02

Explore

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03

Formalize

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04

Practice

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05

Challenge

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Spoilers

Temperature and Heat — summary and key formula

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The question

Imagine grabbing a metal railing on a winter morning and a wooden fence post right next to it. The metal feels painfully cold; the wood feels almost fine. A thermometer shoved against each one reads the same: 2°C. Same temperature — so why does your hand feel like it's being burned by the metal one?

Your hand isn't measuring temperature — it's measuring heat flow. Metal drains energy from your skin so fast it triggers your cold-pain nerves. Wood drains heat slowly, so it feels neutral. Temperature is a property of the object; the burning sensation is about the rate of energy theft. This is the gap between what 'feels hot' and what temperature actually means at the particle level.

The key idea

Temperature measures the average kinetic energy of particles. Hotter = faster particles. But the Celsius scale has a quirk: 0°C is not 'zero energy' — it's just the freezing point of water. The true zero — where particles would stop entirely — is −273°C. That's why scientists use the Kelvin scale: 0 K = absolute zero, the coldest anything can be. To convert: K = °C + 273. When you double the Kelvin temperature, you double the average kinetic energy — and the speed increases by √2, not ×2.

Heat is the transfer of thermal energy from a hotter object to a cooler one. Heat flows until both objects reach the same temperature — thermal equilibrium. The metal railing felt colder not because it was colder, but because it conducted heat away from your hand much faster than wood. Both were at 2°C = 275 K — meaning their particles had the same average kinetic energy. Your hand just lost energy faster to the metal.

The formula

T(K)=T(° ⁣C)+273T(\text{K}) = T(°\!\text{C}) + 273T(K)=T(°C)+273
  • ·T(K) = temperature in Kelvin
  • ·T(°C) = temperature in Celsius