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# Mole Conversions: Dimensional Analysis

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Author: Paul Chick
##### Description:

Use the mole as a basic unit of measurement and convert from mass, particles and molar volume to moles and vice versa.

This tutorial covers three types of conversions: converting from mass to moles; particles to moles; and volume to moles. The concept of molar volume is introduced and Avogadro's number is used.

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Tutorial

Mole conversions using dimensional analysis use the idea that an equality such as 1 meter = 100 centimeters can be expressed as two fractions called unit conversions that are equivalent to each other and equivalent to 1.

For the equality 1 m = 100 cm the conversion factors are 1 m/100 cm or 100 cm/1 m.

Important information used:

• molar mass can be defined as the mass of one mole of a substance.
• particles refer to atoms, molecules, and formula units for elements, molecular compounds and ionic compounds respectively.
• molar volume is defined as the volume of one mole of a substance. A common molar volume used is the molar volume of a gas at standard temperature and pressure, 22.4 liters/mole.

## Mole conversion: mass to mole

This video shows the conversion from mass to mole using dimensional analysis.