Kelvin and Celsius Scales

Scientists commonly use two temperature scales - the Kelvin and Celsius scales. These temperature scales are closely related. The Celsius scale has been in use longer, and is based on the properties of water.
\[0^{\circ} \: Celsius\]
  is defined to be the freezing point of water at standard pressure  
\[p_0=1.1325 \times 10^5 N/m^2\]

\[100^{\circ} \: Celsius\]
  is defined to be the boiling point of water at standard pressure  
\[p_0=1.1325 \times 10^5 N/m^2\]

The Kelvin scale is more fundamental. An increase of  
\[1^{\circ} Celsius\]
  is the same increase as an increase of  
\[1^{\circ} Kelvin\]
, but the zero of the Kelvin scale is defined as the temperature at which no more energy can be extracted from a system, and is equal to  
\[-273.16^{\circ} Celsius\]
.
When doing calculations, typically we use the Kelvin scale eg when using the ideal gas equation of state  
\[1 pV=nRT\]
.