Relation Between Density and Temperature

Temperature is the measure of heat. Density is the measure of how closely any given entity is packed or it is the ratio of the mass of the entity to its volume. The relation between density and temperature is inversely proportional. Change in density will be reflected in a change in temperature and vise-versa.

Density and Temperature

The density and temperature relationship for ideal gases is mathematically written as-

Formula Terms SI units
For ideal gas \(P=\rho RT\) P is the pressure of the ideal gas pascal or Pa
R is the universal gas constant R=8.31 J/mole/K
T is the temperature of the ideal gas Kelvin or K
\(\rho\) is the density of the ideal gas. Kg/m3

Density and Temperature Relationship

The density and temperature relation are proportionate. That is, the density is inversely proportional to temperature. Which means for unit volume-

  • When density increases, the temperature decrease.
  • When density decreases, temperature increases.
  • When more temperature increases, density reduces.
  • When the temperature decrease, density increases.

Hope you understood the relation between Density and Temperature in Thermodynamics.

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