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How do you calculate the number of molecules in a given mass?

You calculate the number of molecules in a given mass by using Avogadro's number and the molar mass of the substance.

To calculate the number of molecules in a given mass, you need to know two key pieces of information: the molar mass of the substance and Avogadro's number. The molar mass is the mass of one mole of a substance, usually expressed in grams per mole (g/mol). Avogadro's number, also known as Avogadro's constant, is the number of particles (atoms, molecules, ions, etc.) in one mole of a substance. It is approximately 6.022 x 10^23 particles per mole.

First, you need to convert the mass of the substance to moles. This is done by dividing the given mass by the molar mass of the substance. The formula is:

Number of moles = Mass (in grams) / Molar mass (in g/mol)

Once you have the number of moles, you can then find the number of molecules by multiplying the number of moles by Avogadro's number. The formula is:

Number of molecules = Number of moles x Avogadro's number

For example, if you have 18 grams of water (H2O), the molar mass of water is approximately 18 g/mol. Therefore, you have 1 mole of water. Multiplying this by Avogadro's number gives you approximately 6.022 x 10^23 molecules of water.

Remember, this method works for any substance as long as you know the molar mass and the mass of the substance you are dealing with. It's a fundamental concept in chemistry that allows us to work with amounts of substances at the molecular level, even though we usually deal with these substances in quantities that we can see and handle.

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