1.7
Gases behave almost ideally at low pressure and high temperature because their molecules remain far apart, making intermolecular attractions and repulsions negligible. Under these conditions, the gas closely follows the equation pVm = RT, where Vm is the molar volume of a gas.
However, real gases follow the van der Waals equation because they deviate from ideality at high pressures and low temperatures, where intermolecular forces and the volume occupied by the molecules become significant.
To quantify this deviation of gases from the ideal behavior, the compression factor, Z, is defined as the ratio of the molar volume of a real gas to that of an ideal gas under the same conditions.
For an ideal gas, Z equals one at all pressures. For real gases, Z approximates one at very low pressures, and exceeds one at high pressures, while Z is less than one for most gases at moderate pressures.
The virial equation of state refines the ideal gas law by adding terms for pressure variables.
It uses Z and temperature-dependent virial coefficients to measure deviations from ideal gas behavior.
Real gases do not perfectly obey the ideal gas laws, especially at high pressures and low temperatures or when they are about to condense to a liquid.…
Copyright © 2026 MyJoVE Corporation. All rights reserved.