Ideal Gas Law with Compressibility Factor

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Ideal Gas Law with Compressibility Factor Formula

\( p \; V \;=\; z \; n \; R \; T \)     (Ideal Gas Law with Compressibility Factor)

\( p  \;=\;   z \; n \; R \; T \;/\; V \)

\( V  \;=\; z \; n \; R \; T \;/\; p \)

\( z  \;=\; p \; V \;/\; n \; R \; T \)

\( n  \;=\;   p \; V \;/\; z \; R \; T \)

\( R  \;=\;   p \; V \;/\; z \; n \; T \)

\( T  \;=\;   p \; V \;/\; z \; n \; R \)

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

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

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Tags: Gas Ideal Gas Laws of Physics