User:Milton Beychok/Sandbox: Difference between revisions

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<math>P_\mathrm{h} = P_0 \cdot \left(\frac{T_0 - L\cdot h}{T_0} \right)^\frac{g \cdot M}{R \cdot L}</math>


which, for the parameter values below, then becomes:
<math>P_\mathrm h = P_0\,\cdot\bigg(\frac{T_0 - 6.5 h}{T_0}\bigg)^{5.2558}</math>
Given an air pollutant concentration at sea-level atmospheric pressure, the concentration at higher altitudes can be obtained from this equation:
<math>C_\mathrm h = C_0\,\cdot\bigg(\frac{T_0 - 6.5 h}{T_0}\bigg)^{5.2558}</math>
where:
{| border="0" cellpadding="2"
|-
!align=right| '''''L'''''
|align=left|= atmospheric temperature lapse rate = 6.5 K&thinsp;/&thinsp;km
|-
!align=right| '''h'''
|align=left|= altitude, km
|-
!align=right| '''''g'''''
|align=left|= Earth's surface gravitational acceleration = 9.80665 m&thinsp;/&thinsp;s<sup>2</sup>
|-
!align=right| '''''M'''''
|align=left|= Molecular weight of air = 28.9644 g&thinsp;/&thinsp;mol
|-
!align=right| '''''R'''''
|align=left|= Universal gas constant = 8.314472 J&thinsp;/&thinsp;(mol&thinsp;•&thinsp;K&thinsp;)
|-
!align=right| '''''P'''''<sub>&thinsp;0</sub>
|align=left|= absolute atmospheric pressure at sea level (in any selected pressure units)
|-
!align=right| '''''P'''''<sub> h</sub>
|align=left|= absolute atmospheric pressure at altitude h (in the same pressure units as '''''P'''''<sub>&thinsp;0</sub>)
|-
!align=right| '''''C'''''<sub>&thinsp;0</sub>
|align=left|= Air pollutant concentration, in mass per unit volume at sea level atmospheric pressure '''''P'''''<sub>&thinsp;0</sub> and specified temperature '''''T'''''<sub>0</sub> (commonly 288.15 K&thinsp;)
|-
!align=right| '''''C'''''<sub> h</sub>
|align=left|= Concentration, in mass per unit volume at altitude '''h''' and specified temperature '''''T'''''<sub>0</sub>
|}

Revision as of 13:03, 13 September 2011

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