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Amaga

Amaga ( English amagat , denoted by amg , Am ) is a practical unit of particle concentration . Although it can be applied to any substance under any conditions, it is defined as the number of ideal gas molecules per unit volume at 1 atm (101325 Pa ) and a temperature of 0 ° C (273.15 K ). [1] Named after the scientist Emile Amagat ( fr. Emile Amagat ), who also has the law named after him Amag . [2]

Definition

Particle concentration in amg, denoted hereη {\ displaystyle \ eta} \eta is defined as

η=nn0{\ displaystyle \ eta = {\ frac {n} {n_ {0}}}} {\displaystyle \eta ={\frac {n}{n_{0}}}} ,

where n 0 = 1 amg = 2.686 7805⋅10 25 m −3 = 44.615 036 mol / m 3 is the Loshmidt constant .

In practice, the concentration of ideal gas particles at pressure P and temperature T can be calculated [3]

η=(pp0)(T0T) a m g{\ displaystyle \ eta = \ left ({\ frac {p} {p_ {0}}} \ right) \ left ({\ frac {T_ {0}} {T}} \ right) \, {\ rm { amg}}} {\displaystyle \eta =\left({\frac {p}{p_{0}}}\right)\left({\frac {T_{0}}{T}}\right)\,{\rm {amg}}} ,

where T 0 = 273.15 K and p 0 = 101.325 kPa .

Example

Particle concentration of an ideal gas (e.g. air) at room temperature (20 ° C ) and 1 atm (101.325 kPa)

η=(oneatmp0)(273.15K(273.15+20)K)amg=0.932amg{\ displaystyle \ eta = \ left ({\ frac {1 \, {\ rm {atm}}} {p_ {0}}} \ right) \ left ({\ frac {273.15 \, {\ rm {K} }} {(273.15 + 20) \, {\ rm {K}}}} \ right) {\ rm {amg}} = 0.932 \, {\ rm {amg}}} {\displaystyle \eta =\left({\frac {1\,{\rm {atm}}}{p_{0}}}\right)\left({\frac {273.15\,{\rm {K}}}{(273.15+20)\,{\rm {K}}}}\right){\rm {amg}}=0.932\,{\rm {amg}}} .

Notes

  1. ↑ Hirschfelder, Joseph O .; Curtiss, Charles F. & Bird, R. Byron (1967), Molecular Theory of Gases and Liquids (Corrected printing ed.), John Wiley & Sons, Inc.  
  2. ↑ VG Teifel. Methane and ammonia abundance in the atmosphere of Saturn (Eng.) // Astronomy Letters : journal. - 1976. - Vol. 2 .
  3. ↑ The absolute values ​​of temperature and pressure, relative to absolute zero and vacuum, should be used in this formula.


Source - https://ru.wikipedia.org/w/index.php?title=Amaga&oldid=101063846


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