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What does mass divided by molar mass give?

Published in Moles Calculation 2 mins read

Mass divided by molar mass gives the number of moles of a substance.

Understanding Moles and Molar Mass

To fully grasp this concept, let's define key terms:

  • Mole: A mole is a unit of measurement used in chemistry to express amounts of a chemical substance. It is defined as exactly 6.02214076 × 1023 elementary entities (like atoms, molecules, ions) of a given substance.
  • Molar Mass: The molar mass of a substance is the mass of one mole of that substance. It's usually expressed in grams per mole (g/mol). Each substance has a unique molar mass. According to the reference, the molar mass of a substance is fixed for a given substance.

Calculation: Mass Divided by Molar Mass

The calculation is straightforward:

Number of moles = Mass of substance / Molar mass of substance

This ratio is used frequently in chemistry for converting between mass and the number of moles.

Example:

Let's say you have 36 grams of water (H2O). The molar mass of water is approximately 18 g/mol.

  • Number of moles of H2O = 36 g / 18 g/mol
  • Number of moles of H2O = 2 mol

This means that 36 grams of water contain 2 moles of water molecules.

Why is This Important?

Knowing the number of moles is crucial in chemistry because:

  • It allows us to relate the mass of substances to the number of particles (atoms, molecules, etc.).
  • It's essential in stoichiometry for calculating reactant and product amounts in chemical reactions.
  • It's key for understanding the composition of mixtures and solutions.
  • According to the provided reference, "the ratio of the given mass of the substance to its molar mass gives the total number of moles of the substance."

Summary

Term Definition
Mass Amount of a substance usually in grams (g)
Molar Mass Mass of one mole of a substance, usually in grams per mole (g/mol)
Number of Moles Amount of a substance measured in moles (mol)

In conclusion, dividing the mass of a substance by its molar mass directly yields the number of moles of that substance.

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