User:Milton Beychok/Sandbox: Difference between revisions
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Given an air pollutant concentration at sea-level atmospheric pressure, the concentration at higher altitudes can be obtained from this equation: | 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" | {| border="0" cellpadding="2" | ||
|- | |- | ||
!align=right| '''''L''''' | !align=right| '''''L''''' | ||
|align=left|= atmospheric temperature lapse rate = 6.5 K/km | |align=left|= atmospheric temperature lapse rate = 6.5 K / km | ||
|- | |- | ||
!align=right| '''h''' | !align=right| '''h''' | ||
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|- | |- | ||
!align=right| '''''g''''' | !align=right| '''''g''''' | ||
|align=left|= Earth's surface gravitational acceleration = 9.80665 m/s<sup>2</sup> | |align=left|= Earth's surface gravitational acceleration = 9.80665 m / s<sup>2</sup> | ||
|- | |- | ||
!align=right| '''''M''''' | !align=right| '''''M''''' | ||
|align=left|= Molecular weight of air = 28.9644 g/mol | |align=left|= Molecular weight of air = 28.9644 g / mol | ||
|- | |- | ||
!align=right| '''''R''''' | !align=right| '''''R''''' | ||
|align=left|= Universal gas constant = 8.314472 J/(mol • K) | |align=left|= Universal gas constant = 8.314472 J / (mol • K ) | ||
|- | |- | ||
!align=right| '''''P'''''<sub> 0</sub> | !align=right| '''''P'''''<sub> 0</sub> | ||
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|align=left|= absolute atmospheric pressure at altitude h (in the same pressure units as '''''P'''''<sub> 0</sub>) | |align=left|= absolute atmospheric pressure at altitude h (in the same pressure units as '''''P'''''<sub> 0</sub>) | ||
|- | |- | ||
!align=right| '''''C''''' | !align=right| '''''C'''''<sub> 0</sub> | ||
|align=left|= Air pollutant concentration, in mass per unit volume at sea level atmospheric pressure '''''P'''''<sub> 0</sub> and specified temperature '''''T'''''<sub>0</sub> (commonly 288.15 K) | |align=left|= Air pollutant concentration, in mass per unit volume at sea level atmospheric pressure '''''P'''''<sub> 0</sub> and specified temperature '''''T'''''<sub>0</sub> (commonly 288.15 K ) | ||
|- | |- | ||
!align=right| '''''C'''''<sub> h</sub> | !align=right| '''''C'''''<sub> h</sub> | ||
|align=left|= Concentration, in mass per unit volume at altitude '''h''' and specified temperature '''''T'''''<sub>0</sub> | |align=left|= Concentration, in mass per unit volume at altitude '''h''' and specified temperature '''''T'''''<sub>0</sub> | ||
|} | |} | ||
Revision as of 01:05, 28 August 2011
which, for the parameter values below, then becomes:
Given an air pollutant concentration at sea-level atmospheric pressure, the concentration at higher altitudes can be obtained from this equation:
where:
| L | = atmospheric temperature lapse rate = 6.5 K / km |
|---|---|
| h | = altitude, km |
| g | = Earth's surface gravitational acceleration = 9.80665 m / s2 |
| M | = Molecular weight of air = 28.9644 g / mol |
| R | = Universal gas constant = 8.314472 J / (mol • K ) |
| P 0 | = absolute atmospheric pressure at sea level (in any selected pressure units) |
| P h | = absolute atmospheric pressure at altitude h (in the same pressure units as P 0) |
| C 0 | = Air pollutant concentration, in mass per unit volume at sea level atmospheric pressure P 0 and specified temperature T0 (commonly 288.15 K ) |
| C h | = Concentration, in mass per unit volume at altitude h and specified temperature T0 |