Dalton's law explained

Dalton's law (also called Dalton's law of partial pressures) states that in a mixture of non-reacting gases, the total pressure exerted is equal to the sum of the partial pressures of the individual gases.^[1] This empirical law was observed by John Dalton in 1801 and published in 1802.^[2] Dalton's law is related to the ideal gas laws.

Formula

Mathematically, the pressure of a mixture of non-reactive gases can be defined as the summation:$$p\_\backslash text\; =\; \backslash sum\_^n\; p\_i\; =\; p\_1+p\_2+p\_3+\backslash cdots+p\_n$$where,, ..., represent the partial pressures of each component.

$$p\_\; =\; p\_\backslash text\; x\_i$$where is the mole fraction of the ith component in the total mixture of n components .

Volume-based concentration

The relationship below provides a way to determine the volume-based concentration of any individual gaseous component$$p\_i\; =\; p\_\backslash text\; c\_i$$where c_i is the concentration of component i.

Dalton's law is not strictly followed by real gases, with the deviation increasing with pressure. Under such conditions the volume occupied by the molecules becomes significant compared to the free space between them. In particular, the short average distances between molecules increases intermolecular forces between gas molecules enough to substantially change the pressure exerted by them, an effect not included in the ideal gas model.

Notes and References

1. Book: Silberberg, Martin S. . 2009 . Chemistry: the molecular nature of matter and change . limited . 5th . McGraw-Hill . Boston . 9780073048598 . 206 . 1.
2. J. Dalton (1802), "Essay IV. On the expansion of elastic fluids by heat," Memoirs of the Literary and Philosophical Society of Manchester, vol. 5, pt. 2, pages 595–602; see page 600.