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 |
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\( p \cdot V \;=\; z \cdot n \cdot R \cdot T \) (Ideal Gas Law with Compressibility Factor) \( p \;=\; \dfrac{ z \cdot n \cdot R \cdot T }{ V }\) \( V \;=\; \dfrac{ z \cdot n \cdot R \cdot T }{ p }\) \( z \;=\; \dfrac{ p \cdot V }{ n \cdot R \cdot T }\) \( n \;=\; \dfrac{ p \cdot V }{ z \cdot R \cdot T }\) \( R \;=\; \dfrac{ p \cdot V }{ z \cdot n \cdot T }\) \( T \;=\; \dfrac{ p \cdot V }{ z \cdot n \cdot R }\) |
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| 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 | \( F \) | \( K \) |
