PPM/ PPB

 

 

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Parts per million, ppm is just another unit of concentration (like mol dm–3, g dm–3 etc) i.e. 1 part solute in 1 million parts solvent.

 

For solutions, it simply means the grams of solute per million grams of solution.

 

i.e. 1 ppm of NaCl solution means 1 g of NaCl is present in 1 000 000 g of solution

 

For gaseous mixtures, it simply means the volume, cm3 (or dm3) of solute per million cm3 (or dm3) of mixture.

 

i.e. 1 ppm of O2 in air means 1 cm3 of O2 is present in 1 000 000 cm3 of air

 

It is generally used for extremely dilute solutions/ mixtures.

 

Eqn to obtain concentration in terms of ppm:

 

conc (ppm)

=

mass of solute (g/ kg)

x 106

mass of solution (g/ kg)

 

conc (ppm)

=

volume of solute (cm3 / dm3)

x 106

volume of mixture (cm3 / dm3)

 

Example 1: Determine the concentration of sucrose, in ppm, in a solution where 0.05 g of sucrose is dissolved in 1 dm3 of solution.

 

Since solution is very dilute, it is almost entirely water → density of solution ~ density of water (1 g cm3)

Mass of 1 dm3 sucrose solution = 1000 g

Conc. of sucrose = 0.05/1000 x 1 000 000 = 50 ppm

 

Essentially:

1 ppm = 1 mg dm3 and 1 ppb = 1 μg dm3

 

Alternate Method

Conc. of sucrose = 0.05 g dm3 = 50 mg dm3 = 50 ppm

 

Practice:

It was determined that 1 dm3 of water contains 0.005 g of dissolved oxygen. Express the concentration of dissolved O2 in ppm. [5 ppm]