# Ideal Gas Law with Compressibility Factor

Written by Jerry Ratzlaff on . Posted in Thermodynamics

The ideal gas law with compressibility factor is used for higher pressure and temperature than the ideal gas law that is at atmospheric conditions.

## Ideal Gas Law with Compressibility Factor formula

 $$\large{ p \; V = z \; n \; R \; T }$$

### Where:

 Units English Metric $$\large{ p }$$ = pressure of gas $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ z }$$ = compressibility factor (1.0 is the ideal gas) $$\large{dimensionless}$$ $$\large{ n }$$ = number of moles of gas $$\large{dimensionless}$$ $$\large{ R }$$ = specific gas constant (gas constant) $$\large{\frac{ft-lbf}{lbm-R}}$$ $$\large{\frac{J}{kg-K}}$$ $$\large{ T }$$ = temperature of gas $$\large{ F }$$ $$\large{ K }$$ $$\large{ V }$$ = volume of gas $$\large{ in^3 }$$ $$\large{ mm^3 }$$