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Conversion Formulas for Chemistry Measurement Units

Contents


Background

This set of tables consolidates numerous resources that were created to support various classes over the years, and it includes the useful efforts of our friends in the marine data management world.

Basic Metric Units

Mass
  • gram = g
  • milligram = 10-3 g = mg
  • microgram = 10-6 g = ug or μg (in OceanTeacher, for simplicity, the usual symbol for micro is u)
  • One liter (see below) of pure water has a mass of approximately 1000 grams, depending on purity, temperature and pressure.  One liter of seawater has a mass of approximately 1025 grams, depending on salinity, temperature and pressure.
Length
  • meter = m
  • decimeter = 10-1 m = dm
  • centimeter = 10-2 m = cm
Volume
  • liter = l = dm3
  • milliliter = 10-3 l = ml = cm3
  • cubic meter = m3 = 103 dm3 = 103 l
  • The terms "liter" and "milliliter" are widely used, but the preferred units of volume are now the cubic decimeter, dm3, and the cubic centimeter, cm3.

Amount of Substance

Mole
  • Mole is usally abbreviated mol in unit designation
  • Mole = 6.02 X 1023 molecules of a molecular substance, or atoms of an element, or ions of an ionic species in solution
  • A mole is contained in the molecular weight or the atomic weight (as appropriate) of a substance, weight out in grams (see below for specific weights)
Sub-molar Quantities
  • millimol = mmol = 10-3 mol = 6.02·1020 molecules, or atoms, or ions
  • micromol = umol = 10-6 mol = 6.02·1017 molecules, or atoms, or ions 
Older Units
  • gram-molecular weight = mol of a molecular substance
  • gram-atomic weight = mol of an element
  • These terms were used in the older literature and should be avoided today.

Molar Mass

Atoms
  • Oxygen:               15.994 g/mol (designated MMO below)
  • Phosphorus:         30.974 g/mol (designated MMP below)
  • Silicon:                 28.086 g/mol (designated MMSi below)
  • Nitrogen:              14.0067 g/mol (designated MMN below)
Compounds
  • Oxygen, as O2:     31.998 g/mol (designated MMO2 below)
Ionic Species
  • Phosphate (PO4):  94.9716 g/mol (designated MMPO4 below)
  • Silicate (SiO3):      76.0842 g/mol (designated MMSiO3 below)
  • Nitrate (NO3):       61.9887 g/mol (designated MMNO3 below)
  • Nitrite (NO2):        45.9947 g/mol (designated MMNO2 below)

Concentration of Substance

Basic Conversions (all substances)
  • [g/dm3] = [mol/dm3] · MMX
  • [g/dm3] ~ [g/kg] · 1.025 

 

  • For more accuracy in the /dm3-to-/kg conversion, use the true seawater density instead of 1.025.  See the note below on exact conversions.
Phosphate [PO4]
  • [ug/dm3] = [umol/dm3] · 94.9716
  • [umol/dm3] = [ug/dm3] · 0.01053

Phosphate-Phosphorus

[PO4-P]

  • [PO4-P] = [PO4]·MMP/MMPO4 = [PO4] · 0.3261
  • [ug/dm3] = [umol/dm3] · 30.974
  • [umol/dm3] = [ug/dm3] · 0.0322
  • This quantity is usuallly calculated from the standard ionic phosphate concentration determined for non-digested seawater samples
Total Phosphorus
  • This quantity is calculated exactly as Phosphate-Phosphorus, above, except the sample has been completely digested before phosphate determination, insuring that particulate phosphate and non-ionic organic dissolved phosphate are included in the measurement.
Silicate [SiO3]
  • [ug/dm3] = [umol/dm3] · 78.0842
  • [umol/dm3] = [ug/dm3] · 0.01280
Silicate-Silicon [SiO3-Si]
  • [SiO3-Si] = [SiO3]·MMSi/MMSiO3 = [SiO3] · 0.3691
  • [ug/dm3] = [umol/dm3] · 28.086
  • [umol/dm3] = [ug/dm3] · 0.03560
Nitrate [NO3]
  • [ug/dm3] = [umol/dm3] · 61.9887
  • [umol/dm3] = [ug/dm3] · 0.01613
Nitrate-Nitrogen [NO3-N]
  • [NO3-N] = NO3]·MMN/MMNO3 = [NO3] · 0.2259
  • [ug/dm3] = [umol/dm3] · 14.0067
  • [umol/dm3] = [ug/dm3] · 0.07139
Nitrite [NO2]
  • [ug/dm3] = [umol/dm3] · 45.9947 [umol/dm3] = [ug/dm3] · 0.02174
Nitrite-Nitrogen [NO2-N]
  • [NO2-N] = [NO2]· MMN/MMNO2= [NO2] · 0.3045 [ug/dm3] = [umol/dm3] · 14.0067
  • [umol/dm3] = [ug/dm3] · 0.07139
Chlorophyll
  • [g/m3] = [ mg/l ] = [ mg/dm3]
  • [mg/m3] = [ug/l] = [ug/dm3]
Oxygen [O2]
  • 1 mol = 22.391 dm3 = 22931 cm3 at standard temperature and pressure
  • 1 ml = 1 cm3 = 1/22391 mol = 0.00004461 mol = 44.61 umol
  • 1 mg = 22.931/31.998 ml = 0.700 ml = 0.700 cm3
  • [umol] = [ml/l] · 44.61 = [cm3/dm3] · 44.61
  • [cm3/dm3] = [ml/l] = [umol] · 0.02241
  • [ml/l] = [cm3/dm3] = [mg/l] · 0.700 = [mg/dm3] · 0.700
  • [mg/l] = [mg/dm3] = [ml/l] · 1.428 = [cm3/dm3] · 1.428

Miscellaneous

Depth
  • You can use the following equations to convert between depth in meters and pressure (p) in decibars:
    • p! = (gravity! · depth! · (1.028 + 2.4 · depth! * 10-6))/10
    • It gives answers correct to within 0.1% (Provided by Harry Dooley of ICES)
  • If you need a quick, gross estimation of p, and can accept a larger error, then you can use the formula:
    • p! = depth! · 1.007
    • This assumes that the product 2.4 · depth! · 10-6 is negligible, which is certainly not true at great depths.
  • See Physical Oceanographic Measurements for more detailed information.
Exact Conversions of /dm3 to /kg Concentrations
  • Use the Johns-Hopkins Seawater Equation of State Calculator to find the in situ densities, then divide the /dm3 values by the densities to get the /kg values.[Open the HTML source of the Calculator to find the included Java code if you want to write your own spreadsheet or database macros to perform batch conversion.]
Temperature
  • °F (Fahrenheit) temperature data can be converted to °C (Celsius) with the following formula:
    • °C = .55556 · (°F - 32)


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Information about this article

Short title: Conversion Formulas

Description: none

Expertise level: beginner

Author: Murray.Brown

Approval status: approved

Approved by: Murray.Brown

Last change: 2009-8-4

Subsection of: Chemical Oceanographic Measurements

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