Parts Per Conversion
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About Parts Per Notation
Parts-per notation is a set of pseudo-units to describe small values of miscellaneous dimensionless quantities, e.g. mole fraction or mass fraction. Since these fractions are quantity-per-quantity measures, they are pure numbers with no associated units of measurement.
Common parts-per notations in science and engineering include:
- ppm (parts per million): 10⁻⁶
- ppb (parts per billion): 10⁻⁹
- ppt (parts per trillion): 10⁻¹²
- ppq (parts per quadrillion): 10⁻¹⁵
- Percentage (%): 10⁻²
- Per-mil (‰): 10⁻³
- Per-myriad (‱): 10⁻⁴
Conversion Formulas
Basic Conversions
ppm = ppb × 1000
ppb = ppt × 1000
ppt = ppq × 1000
ppm = percent × 10,000
percent = ppm ÷ 10,000
Molar and Molal Conversions
To convert between molar (mol/L) or molal (mol/kg) and parts-per units, you need to know the molar mass of the substance and the density of the solution.
ppm = (molarity × molar_mass × 1000) ÷ density
molarity = (ppm × density) ÷ (molar_mass × 1000)
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