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Unit Conversion Example Problem - Metric to English Conversion

Worked Chemistry Problems


This worked chemistry example problem demonstrates how to convert from metric units to English units.


Analysis of an air sample reveals that it contains 3.5 x 10-6 g/l of carbon monoxide. Express the concentration of carbon monoxide in lb/ft3.


Two conversions are required, one from grams to pounds using this conversion:

1 lb = 453.6 g

and the other conversion, from liters to cubic feet, using this conversion:

1 ft3 = 28.32 l

The conversion may be set up in this fashion:

3.5 x 10-6 g/l x 1 lb / 453.6 g x 28.32 l / 1 ft3 = 0.22 x 10-6 lb/ft3


3.5 x 10-6 g/l of carbon monoxide is equal to 0.22 x 10-6 lb/ft3

or, in scientific notation (standard exponential notation):

3.5 x 10-6 g/l of carbon monoxide is equal to 2.2 x 10-7 lb/ft3

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