# Physical Principles

Author: Hans-Jürgen Schwarz

English Translation by Sandra Leithäuser

Back to Air humidity measurement

## Contents

## Abstract

## Dalton's Law

The total pressure of a gas mixture is composed by the sum of the partial pressures of its constituents.<ref>The physics of the museum environment by Tim Padfield: http://www.natmus.dk/cons/tp/index.htm</ref>

In simplified terms: the air consists of dry air and water vapor

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P = P_w + P_dry}**

wherein P_{w} constitutes the partial pressure generated by water vapor and P_{dry} represents the sum of all partial pressures of all the other gases.

The total pressure of a mixture of ideal gases is equal to the sum of partial pressures of the individual gases in the mixture. |

## Water vapor partial pressure in the air

In a gas mixture (volume V, temperature T), each component gas has a partial pressure, p_{i}, which is proportional to the number of molecules present in the mixture.<ref>http://de.wikipedia.org/w/index.php?title=Partialdruck&oldid=77071731 , 29.07.2010</ref>.

For the relationship between p_{i}, V and T, the following equation applies:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p_i*v = n*R*T}

The total pressure is the sum of all partial pressures. Water vapor partial pressure is at

22 ºC and 100 %rF | = 2645 Pa |

22 ºC and 67 %rF | = 1772 Pa |

(1 Pa = 1N/m² = 0.01 mbar)

For example, the atmospheric pressure in Hannover fluctuates between 964 hPa and 1042 hPa.

The partial pressure of water vapor at a given temperature cannot exceed certain limits, i.e., saturation. When the saturation pressure p_{s} is increased by additional water supply (humidification), the partial pressure stays the same, but the excess water vapor precipitates in the form of liquid water. This process is called condensation.
There is no simple physical relation between temperature and saturation pressure, which is why the relationship is expressed in either graphical or table form.

When temperature rises the saturation pressure increases considerably. For instance, at 0 ºC it is 611 Pa and at 20 ºC it reaches 2338 Pa.

## WebLinks

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