mass mixing ratio derivations
- mass mixing ratio from mass density - symbol - description - unit - variable name - \(\rho\) - mass density of total air - \(\frac{kg}{m^3}\) - density {:} - \(\rho_{x}\) - mass density for air component x (e.g. \(\rho_{O_{3}}\)) - \(\frac{kg}{m^3}\) - <species>_density {:} - \(q_{x}\) - mass mixing ratio for air component x with regard to total air - \(\frac{kg}{kg}\) - <species>_mass_mixing_ratio {:} - The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all. \[q_{x} = \frac{\rho_{x}}{\rho}\]
- mass mixing ratio from volume mixing ratio - symbol - description - unit - variable name - \(M_{air}\) - molar mass for total air - \(\frac{g}{mol}\) - molar_mass {:} - \(M_{x}\) - molar mass for air component x - \(\frac{g}{mol}\) - \(q_{x}\) - mass mixing ratio of quantity x with regard to total air - \(\frac{kg}{kg}\) - <species>_mass_mixing_ratio {:} - \(\nu_{x}\) - volume mixing ratio of quantity x with regard to total air - \(ppv\) - <species>_volume_mixing_ratio {:} - The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all. \[q_{x} = \nu_{x}\frac{M_{x}}{M_{air}}\]
- mass mixing ratio dry air from mass density - symbol - description - unit - variable name - \(\rho_{dry\_air}\) - mass density of dry air - \(\frac{kg}{m^3}\) - dry_air_density {:} - \(\rho_{x}\) - mass density for air component x (e.g. \(\rho_{O_{3}}\)) - \(\frac{kg}{m^3}\) - <species>_density {:} - \(\bar{q}_{x}\) - mass mixing ratio for air component x with regard to dry air - \(\frac{kg}{kg}\) - <species>_mass_mixing_ratio_dry_air {:} - The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all. \[q_{x} = \frac{\rho_{x}}{\rho_{dry\_air}}\]
- mass mixing ratio dry air from volume mixing ratio dry air - symbol - description - unit - variable name - \(M_{dry\_air}\) - molar mass for dry air - \(\frac{g}{mol}\) - \(M_{x}\) - molar mass for air component x - \(\frac{g}{mol}\) - \(\bar{q}_{x}\) - mass mixing ratio of quantity x with regard to dry air - \(\frac{kg}{kg}\) - <species>_mass_mixing_ratio_dry_air {:} - \(\bar{\nu}_{x}\) - volume mixing ratio of quantity x with regard to dry air - \(ppv\) - <species>_volume_mixing_ratio_dry_air {:} - The pattern : for the dimensions can represent {vertical}, {latitude,longitude}, {latitude,longitude,vertical}, {time}, {time,vertical}, {time,latitude,longitude}, {time,latitude,longitude,vertical}, or no dimensions at all. \[\bar{q}_{x} = \bar{\nu}_{x}\frac{M_{x}}{M_{dry\_air}}\]