Temperature

Temperature indicates how hot or cold an object is. In physics, temperature is understood as a measure of the average kinetic energy of the particles in a substance. In everyday life, temperature is measured in degrees Celsius, but there are also other scales such as Kelvin and Fahrenheit.

 

 

SI unit of temperature

 

The fundamental SI unit of temperature is the kelvin, with the symbol \( \large K \).

 

$$ \large 0\ \text{°C} = 273.15\ \text{K} $$

 

The Kelvin scale starts at absolute zero, where all molecular motion ceases. The temperature 0 K corresponds to \( \large -273.15\ \text{°C} \).

 

 

Derived scales

 

In practice, three temperature scales are most commonly used:

 

Scale Symbol Relation Note
Celsius °C \( \large T_{C} = T_{K} - 273.15 \) Used in everyday life
Kelvin K \( \large T_{K} = T_{C} + 273.15 \) SI unit (absolute temperature)
Fahrenheit °F \( \large T_{F} = \frac{9}{5}T_{C} + 32 \) Used in English-speaking countries

 

 

Examples

 

  • Water freezes at \( \large 0\ \text{°C} = 273.15\ \text{K} = 32\ \text{°F} \).
  • Water boils at \( \large 100\ \text{°C} = 373.15\ \text{K} = 212\ \text{°F} \).
  • Room temperature is about \( \large 20\ \text{°C} = 293.15\ \text{K} = 68\ \text{°F} \).

 

 

Temperature scales

 

Here you can see different temperature scales and their values at the melting and boiling points of water:

 

Scale Melting point Boiling point
Celsius 100°
Kelvin 273.15 373.15
Fahrenheit 32° 212°
Rømer 7.5° 60°
Réaumur 80°
Rankine 491.67° 671.67°
Delisle 150°
Newton 33°

 

The historical scales are no longer used, but they show how different scientists attempted to describe temperature before the modern SI definition.

 

Calculator

Formulas

Celcius

$$ ^\circ C = K – 273,15 $$

$$ ^\circ C = \frac{(^\circ F – 32)}{1,8} $$

Fahrenheit

$$ ^\circ F= \,^\circ C \cdot 1,8 + 32 $$

$$ ^\circ F = (K \cdot 1,8) - 459,67 $$

Kelvin

$$ K = \,^\circ C + 273,15 $$

$$ K = \frac{(^\circ F + 459,67)}{ 1,8} $$