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Untitled - Kelly Walsh High School

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34 CHEMISTRY FOR THE UTTERLY CONFUSED<br />

We can balance most simple reactions by this trial and error method, by inspection,<br />

but some reactions, redox reactions, often require a different system of<br />

rules. We will show you how to balance these redox reactions in Chapter 18.<br />

3-2 Avogadro’s Number and Molar Mass<br />

Quick Tip<br />

The mole (mol) is the amount of a substance that contains the same number of<br />

particles as atoms in exactly 12 grams of carbon-12. This number of particles<br />

(atoms, molecules, or ions) per mole is Avogadro’s number and is numerically<br />

equal to 6.022 10 23 particles. The mole is simply a term that represents a certain<br />

number of particles, like a dozen or a pair. The mole also represents a certain<br />

mass of a chemical substance.<br />

The substance’s molar mass is the mass in grams of the substance that contains<br />

one mole of that substance. In the previous chapter, we described the atomic mass<br />

of an element in terms of atomic mass units (amu). This was the mass associated<br />

with an individual atom. At the microscopic level, we can calculate the mass of a<br />

compound by simply adding together the masses in amu’s of the individual elements<br />

in the compound. However, at the macroscopic level, we use the unit of<br />

grams to represent the quantity of a mole.<br />

6.022 10 23 particles 1 mol molar mass in grams<br />

This relationship gives a way of converting from grams to moles to particles and<br />

vice versa. If you have any one of the three quantities, you can calculate the<br />

other two. For example, the molar mass of iron(III) oxide, Fe 2O 3 (rust), is<br />

159.689 g/mol [(2 55.846 g/mol for Fe) (3 15.999 g/mol for O)].<br />

Therefore, if we had 50.00 g of iron(III) oxide, we could calculate both the<br />

number of moles and the number of particles present.<br />

(50.00 g Fe 2 O 3 )a 1 mol Fe 2 O 3<br />

159.689 g b 0.313108605 mol 0.3131 mol Fe 2 O 3<br />

(0.313108605 mol Fe2O3 )a 6.022 1023 particles<br />

b<br />

1 mol<br />

1.886 10 23 Fe 2 O 3 particles

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