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In [[science]], [[engineering]] and often in common usage, '''concentration''' is the measure of how much of a given substance there is in a given mixture of substances. | |||
In [[science]], [[engineering]] and often in common usage, '''concentration''' is the measure of how much of a given substance there is in a | |||
==Notation== | ==Notation== | ||
There are | There are many different notations that may be used to quantitatively express concentration. The most commonly used notations are discussed below: | ||
===Mole fraction and | ===Mole fraction and mole percent=== | ||
{{main|Mole fraction}} | {{main|Mole fraction}} | ||
The | The ''mole fraction'' is a measure of the concentration of a component substance in a mixture of substances. It is defined as the number of [[Mole (unit)|moles]] of a component substance in a mixture divided by the total number of moles of the mixture.<ref>{{cite book|author=N.A. Gokcen and R.G. Reddy|title=Thermodynamics|edition=2nd Edition|publisher=Plenum Press|year=1996|id=ISBN 0-306-45380-0}}</ref> | ||
The | The ''mole percent'' or ''molar percent'' is usually denoted by mole % and is equal to 100 times the mole fraction. | ||
===Mass fraction and mass percent=== | |||
The ''[[mass]] fraction'' is also a measure of the concentration of a component substance in a mixture of substances. It is defined as the mass of a component substance in a mixture divided by the total mass of the mixture. It is most commonly referred to as the [[weight]] fraction. | |||
The ''mass percent'' is equal to 100 time the mass fraction. It is most commonly referred to as the ''weight percent'' and is usually denoted as wt %, weight % or percent by weight. | |||
=== | ===Volume fraction and volume percent=== | ||
The ''[[volume]] fraction'' is another measure of the concentration of a component substance in a mixture of substances. It is defined as the volume of a component substance in a mixture divided by the total volume of the mixture. | |||
The | The ''volume percent'' is equal to 100 time the volume fraction and is usually denoted as vol %, volume % or percent by volume. | ||
=== | ===Parts-per notation=== | ||
{{main|Parts-per notation}} | |||
The parts-per notation is used in science and engineering as a measure of the concentration of a component substance in a mixture of substances and usually when the concentration is very small. The most commonly used parts-per niotation are: | |||
*''Parts per million'' (ppm): In most countries, 1 million is 1×10<sup>6</sup> and thus 1 part per million parts (1 ppm) has a numerical value of 1×10<sup>-6</sup>. | |||
*''Parts per billion'' (ppb): In the [[United States]], 1 billion is 1×10<sup>9</sup> and thus one part per billion parts (1 ppb) has a numerical value of 1×10<sup>-9</sup>. This terminology should be used with great caution because | |||
**In [[France]] and frequently in continental [[Europe]], 1×10<sup>9</sup> is 1 ''milliard''. | |||
**In the [[United Kingdom]] and in other nations using [[British English]], 1×10<sup>9</sup> is 1000 million and 1 billion is 1×10<sup>12</sup>. | |||
*''Parts per trillion'' (ppt): In the United States, 1 trillion is 1×10<sup>12</sup> and thus one part per trillion parts (1 ppt) has a numerical value of 1×10<sup>-12</sup>. This terminology should also be used with great caution because: | |||
**In the United Kingdom and other nations using British English, France and continental Europe, 1×10<sup>12</sup> is 1 billion and 1 trillion is 1×10<sup>18</sup> | |||
**Concentrations are sometimes expressed as ppt meaning parts per thousand which conflicts with ppt meaning parts per trillion. | |||
There are other parts-per notations that are not commonly used (see [[Parts-per notation]]). | |||
=== | ===Molarity, molality and normality === | ||
'' | {{main|Concentration (chemistry)}} | ||
''[[Molarity]]'', ''[[normality]]'' and ''[[molality]]'' are terms used in chemistry to denote the concentration of [[solute]]s in [[solution]]s or [[solvent]]s. | |||
=== | ====Molarity==== | ||
''Molarity'' or ''molar concentration'' (in units of mol/L) denotes the number of moles of a given [[solute]] per [[litre]] of [[solution]]. The units of mol/L are commonly replaced by the symbol M. | |||
The [[National Institute of Standards and Technology]] (NIST) of the United States considers the term molarity and the symbol M to be obsolete and recommends using the term ''amount-of-substance concentration of B'' (or ''concentration of B'') and the symbol ''c<sub>B </sub>'' with SI units of mol/m<sup>3</sup> or other SI acceptable units.<ref name=NIST>[http://physics.nist.gov/Pubs/SP811/sec11.html NIST Guide to SI Units] NIST website, accessed February 1, 2009. (Scroll down to item 18)</ref>. This recommendation has not been universally implemented in academia or chemistry research yet. | |||
The [[ | |||
====Normality==== | |||
''Normality'', as a concentration term with symbol N, has been used for decades in [[chemistry]]. In solution, [[Salt (chemistry)|salts]] are [[Dissociation|dissociated]] into reactive solute species ([[Ion|ions]] such as [[Hydrogen|H]]<sup>+</sup>, [[Iron|Fe]]<sup>3+</sup>, or [[Chlorine|Cl]]<sup>− </sup>). A normal solution has one [[gram equivalent]] of a solute ion per liter of solution. The definition of a gram equivalent depends on the type of solute: [[acid]], [[base]], [[redox]] species, or ions that will precipitate. Note that normality measures a single ion which is part of an overall solute. For example, one could determine the normality of the [[hydroxide]] ion or [[sodium]] ion in an [[aqueous]] solution of the overall solute [[sodium hydroxide]] (NaOH), but the normality of sodium hydroxide itself has no meaning. | |||
However, both NIST<ref name=NIST/><ref>[http://physics.nist.gov/Pubs/SP811/sec08.html#8.6.5 Concentration of B; amount-of-substance concentration of B] NIST website, accessed February 1, 2009</ref> and the International Union of Applied Chemistry (IUPAC)<ref>[http://old.iupac.org/publications/analytical_compendium/ Chapter 6, Section 6.3, Use of equivalence concept] IUPAC website, accessed February 1, 2009 (Scroll down to ''Normal solution'')</ref> now consider that the term normality is obsolete. | |||
NIST recommends using the term ''amount-of-substance concentration of B'' (or ''concentration of B'') and the symbol ''c<sub>B </sub>'' with SI units of mol/m<sup>3</sup> or other SI acceptable units just as it does for the term molarity.<ref name=NIST/> | |||
====Molality==== | |||
''Molality'' or ''molal concentration'' (in units of mol/kg) denotes the number of moles of solute per [[kilogram]] of [[solvent]] (not solution). The units of mol/kg are commonly replaced by the symbol m (not to be confused with symbol m for [[metre]]). NIST also considers the term molality and the symbol m to be obsolete and recommends using the term ''molality of solute B'' and the symbol ''b<sub>B</sub>'' or ''m<sub>B</sub>'' with SI units of mol/kg or other SI acceptable units.<ref name=NIST/> | |||
==Clarity of notation== | ==Clarity of notation== | ||
Revision as of 01:40, 3 February 2009
In science, engineering and often in common usage, concentration is the measure of how much of a given substance there is in a given mixture of substances.
Notation
There are many different notations that may be used to quantitatively express concentration. The most commonly used notations are discussed below:
Mole fraction and mole percent
The mole fraction is a measure of the concentration of a component substance in a mixture of substances. It is defined as the number of moles of a component substance in a mixture divided by the total number of moles of the mixture.[1]
The mole percent or molar percent is usually denoted by mole % and is equal to 100 times the mole fraction.
Mass fraction and mass percent
The mass fraction is also a measure of the concentration of a component substance in a mixture of substances. It is defined as the mass of a component substance in a mixture divided by the total mass of the mixture. It is most commonly referred to as the weight fraction.
The mass percent is equal to 100 time the mass fraction. It is most commonly referred to as the weight percent and is usually denoted as wt %, weight % or percent by weight.
Volume fraction and volume percent
The volume fraction is another measure of the concentration of a component substance in a mixture of substances. It is defined as the volume of a component substance in a mixture divided by the total volume of the mixture.
The volume percent is equal to 100 time the volume fraction and is usually denoted as vol %, volume % or percent by volume.
Parts-per notation
The parts-per notation is used in science and engineering as a measure of the concentration of a component substance in a mixture of substances and usually when the concentration is very small. The most commonly used parts-per niotation are:
- Parts per million (ppm): In most countries, 1 million is 1×106 and thus 1 part per million parts (1 ppm) has a numerical value of 1×10-6.
- Parts per billion (ppb): In the United States, 1 billion is 1×109 and thus one part per billion parts (1 ppb) has a numerical value of 1×10-9. This terminology should be used with great caution because
- In France and frequently in continental Europe, 1×109 is 1 milliard.
- In the United Kingdom and in other nations using British English, 1×109 is 1000 million and 1 billion is 1×1012.
- Parts per trillion (ppt): In the United States, 1 trillion is 1×1012 and thus one part per trillion parts (1 ppt) has a numerical value of 1×10-12. This terminology should also be used with great caution because:
- In the United Kingdom and other nations using British English, France and continental Europe, 1×1012 is 1 billion and 1 trillion is 1×1018
- Concentrations are sometimes expressed as ppt meaning parts per thousand which conflicts with ppt meaning parts per trillion.
There are other parts-per notations that are not commonly used (see Parts-per notation).
Molarity, molality and normality
Molarity, normality and molality are terms used in chemistry to denote the concentration of solutes in solutions or solvents.
Molarity
Molarity or molar concentration (in units of mol/L) denotes the number of moles of a given solute per litre of solution. The units of mol/L are commonly replaced by the symbol M.
The National Institute of Standards and Technology (NIST) of the United States considers the term molarity and the symbol M to be obsolete and recommends using the term amount-of-substance concentration of B (or concentration of B) and the symbol cB with SI units of mol/m3 or other SI acceptable units.[2]. This recommendation has not been universally implemented in academia or chemistry research yet.
Normality
Normality, as a concentration term with symbol N, has been used for decades in chemistry. In solution, salts are dissociated into reactive solute species (ions such as H+, Fe3+, or Cl− ). A normal solution has one gram equivalent of a solute ion per liter of solution. The definition of a gram equivalent depends on the type of solute: acid, base, redox species, or ions that will precipitate. Note that normality measures a single ion which is part of an overall solute. For example, one could determine the normality of the hydroxide ion or sodium ion in an aqueous solution of the overall solute sodium hydroxide (NaOH), but the normality of sodium hydroxide itself has no meaning.
However, both NIST[2][3] and the International Union of Applied Chemistry (IUPAC)[4] now consider that the term normality is obsolete.
NIST recommends using the term amount-of-substance concentration of B (or concentration of B) and the symbol cB with SI units of mol/m3 or other SI acceptable units just as it does for the term molarity.[2]
Molality
Molality or molal concentration (in units of mol/kg) denotes the number of moles of solute per kilogram of solvent (not solution). The units of mol/kg are commonly replaced by the symbol m (not to be confused with symbol m for metre). NIST also considers the term molality and the symbol m to be obsolete and recommends using the term molality of solute B and the symbol bB or mB with SI units of mol/kg or other SI acceptable units.[2]
Clarity of notation
The notation is used for convenience and the units of measure must be denoted for clarity though this is frequently not the case even in technical publications.
In atmospheric chemistry and in air pollution regulations, the parts per notation is commonly expressed with a v following, such as ppmv, to indicate parts per million by volume. This works fine for gas concentrations (e.g., ppmv of carbon dioxide in the ambient air) but, for concentrations of non-gaseous substances such as aerosols, cloud droplets, and particulate matter in the ambient air, the concentrations are commonly expressed as μg/m³ or mg/m³ (e.g., μg or mg of particulates per cubic metre of ambient air). This expression eliminates the need to take into account the impact of temperature and pressure on the density and hence weight of the gas.
The usage is generally quite fixed inside most specific branches of science, leading some researchers to believe that their own usage (mass/mass, volume/volume or others) is the only correct one. This, in turn, leads them not to specify their usage in their research, and others may therefore misinterpret their results. For example, electrochemists often use volume/volume, while chemical engineers may use mass/mass as well as volume/volume. Many academic papers of otherwise excellent level fail to specify their usage of the part-per notation. The difference between expressing concentrations as mass/mass or volume/volume is quite significant when dealing with gases and it is very important to specify which is being used. It is quite simple, for example, to distinguish ppm by volume from ppm by mass or weight by using ppmv or ppmw.
References
- ↑ N.A. Gokcen and R.G. Reddy (1996). Thermodynamics, 2nd Edition. Plenum Press. ISBN 0-306-45380-0.
- ↑ 2.0 2.1 2.2 2.3 NIST Guide to SI Units NIST website, accessed February 1, 2009. (Scroll down to item 18)
- ↑ Concentration of B; amount-of-substance concentration of B NIST website, accessed February 1, 2009
- ↑ Chapter 6, Section 6.3, Use of equivalence concept IUPAC website, accessed February 1, 2009 (Scroll down to Normal solution)