## Temperature Scales

When using a thermometer, we need to mark a scale on the tube wall with numbers on it. We have to define a** temperature scale**. A ** temperature scale** is a way to measure temperature relative to a

**starting point**(0 or zero) and a

**unit of measurement**.

These numbers are arbitrary, and historically many different schemes have been used. For example, this was done by defining some physical occurrences at given temperatures—such as the **freezing** and** boiling points of water **— and defining them as 0 and 100, respectively.

There are several scales and units exist for measuring temperature. The most common are:

## Kelvin Scale – Absolute Temperature

**Kelvin temperature scale** is the base unit of **thermodynamic temperature** measurement in the International System (SI) of measurement. The** Kelvin scale** was determined based on the Celsius scale but with a starting point at** absolute zero**. Temperatures in the Kelvin scale are 273 degrees less than in the Celsius scale. The kelvin is defined as the fraction 1⁄273.16 of the thermodynamic temperature of the triple point of water. By international agreement, the **triple point of water** has been assigned a value of** 273.16 K (0.01 °C; 32.02 °F)** and partial vapor pressure of **611.66 pascals (6.1166 mbar; 0.0060366 atm)**. In other words, it is defined such that the triple point of water is exactly 273.16 K.

Note that the unit on the absolute scale is Kelvins, not degrees Kelvin. It was named in honor of Lord Kelvin, who had a great deal to do with temperature measurement and thermodynamics development.

The** absolute temperature scale** that corresponds to the Celsius scale is called the Kelvin (K) scale, and the absolute scale that corresponds to the Fahrenheit scale is called the Rankine (R) scale. The zero points on both absolute scales represent the same physical state. The relationships between the absolute and relative temperature scales are shown in the following equations.

**Kelvin – Celsius**

**K = °C + 273.15**

**°C = K – 273.15**

**Rankine – Fahrenheit**

**R = °F + 460**

**°F = R – 460**

**Absolute Zero**

Such a scale has as its **zero point**. The coldest theoretical temperature is called **absolute zero**, at which the thermal motion of atoms and molecules reaches its minimum. This is a state at which the enthalpy and entropy of a cooled ideal gas reach its minimum value, taken as 0. **Classically**, this would be a state of **motionlessness**, but **quantum** uncertainty dictates that the particles still possess **finite zero-point energy**. **Absolute zero** is denoted as 0 K on the Kelvin scale, **−273.15 °C** on the Celsius scale, and **−459.67 °F** on the Fahrenheit scale.

## Absolute Zero and Third Law of Thermodynamics

Third law of thermodynamics states:

*The entropy of a system approaches a constant value as the temperature approaches absolute zero.*

Based on empirical evidence, this law states that the entropy of a pure crystalline substance is zero at the absolute zero of temperature, 0 K and that it is impossible using any process, no matter how idealized, to reduce the temperature of a system to absolute zero in a finite number of steps. This allows us to define a zero point for the thermal energy of a body.