Barrer
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The barrer is a non- SI unit of permeability of
gas Gas is a state of matter that has neither a fixed volume nor a fixed shape and is a compressible fluid. A ''pure gas'' is made up of individual atoms (e.g. a noble gas like neon) or molecules of either a single type of atom ( elements such as ...
es used in the membrane technology and
contact lens Contact lenses, or simply contacts, are thin lenses placed directly on the surface of the eyes. Contact lenses are ocular prosthetic devices used by over 150 million people worldwide, and they can be worn to correct vision or for cosmetic ...
industry. It is named after the New Zealand-born chemist Richard Barrer.


Definition

The barrer is defined as follows: :\rm \ barrer = \frac Confusingly, the centimetre notation is used in four different ways. * To denote an amount of substance, the 'cm3STP' is standard cubic centimeter, which is a unit of
amount of substance In chemistry, the amount of substance (symbol ) in a given sample of matter is defined as a ratio () between the particle number, number of elementary entities () and the Avogadro constant (). The unit of amount of substance in the International ...
rather than a unit of
volume Volume is a measure of regions in three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch) ...
. It represents the number of gas molecules or moles that ''would'' occupy one cubic centimeter at
standard temperature and pressure Standard temperature and pressure (STP) or standard conditions for temperature and pressure are various standard sets of conditions for experimental measurements used to allow comparisons to be made between different sets of data. The most used ...
, as calculated via the
ideal gas law The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas. It is a good approximation of the behavior of many gases under many conditions, although it has several limitations. It was first stat ...
. * To denote a pressure differential, the notation 'cmHg' is used; a 'centimetre of mercury', which is ten times the more familiar '
millimetre of mercury A millimetre of mercury is a manometric unit of pressure, formerly defined as the extra pressure generated by a column of mercury one millimetre high. Currently, it is defined as exactly , or approximately 1 torr =  atmosphere = &nb ...
'. * And finally, the centimetre and square centimetre are used in the normal way to measure thickness and area. The cm corresponds in the permeability equations to the thickness of the material whose permeability is being evaluated, the cm3STPcm−2s−1 to the
flux Flux describes any effect that appears to pass or travel (whether it actually moves or not) through a surface or substance. Flux is a concept in applied mathematics and vector calculus which has many applications in physics. For transport phe ...
of gas through the material, and the cmHg to the pressure drop across the material. That is, it measures the rate of fluid flow passing through an area of material with a thickness driven by a given pressure. See Darcy's Law. In SI units, the barrer can be expressed as: :\rm \ barrer = \frac To convert to CGS permeability unit, one must use the following: :\rm \ barrer = \ \ \frac Where M is the molecular weight of the penetrant gas (g/mol). Another commonly expressed unit is Gas Permeance Unit (GPU). It is used in the measurement of gas
permeance Permeance, in general, is the degree to which a material admits a flow of matter or energy. Permeance is usually represented by a curly capital P: . Electromagnetism In electromagnetism, permeance is the inverse of reluctance. In a magnetic circu ...
. Permeance can be expressed as the ratio of the permeability with the thickness of membrane. :\rm \ GPU = 10^ \ \frac =7.501\ \times \ 10^ \ \frac Or in SI units: :\rm \ GPU = 3.35\ \times \ 10^ \ \frac


References

Units of measurement {{measurement-stub