# Temperature of an Ideal Gas

Written by Jerry Ratzlaff on . Posted in Thermodynamics

In an ideal gas, molecules have no volume and do not interact.

## Temperature of an Ideal Gas formula

 $$\large{ T_a = \frac {p}{ \rho \; R } }$$

### Where:

 Units English Metric $$\large{ T_a }$$ = temperature $$\large{F}$$ $$\large{K}$$ $$\large{ \rho }$$  (Greek symbol rho) = density $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$\large{ p }$$ = pressure $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ R }$$ = specific gas constant (ideal gas constant) $$\large{in}$$ $$\large{mm}$$