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Foundations of Chemistry

Dimensional Analysis

A calculation method that tracks and cancels units through a chain of conversion factors to reach the required quantity.

Formula / equation given quantity × (desired unit / given unit) = answer
Unit Various

In depth

Also called the factor-label method, it turns most stoichiometric problems into unit bookkeeping: if the units of the answer come out right, the arrangement of the numbers is almost certainly right too. It also serves as a rapid check on any derived equation, since both sides must carry identical dimensions.

Examples in the real world

Converting 25.0 g of NaOH to moles: 25.0 g × (1 mol / 40.00 g) = 0.625 mol.