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The Mole

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CA Standards Students know the quantity one mole is set by defining one mole of carbon 12 atoms to have a mass of exactly 12 grams. Students know one mole equals 6.02 x 1023 particles (atoms or molecules). Students know how to determine the molar mass of a molecule from its chemical formula and a table of atomic masses and how to convert the mass of a molecular substance to moles, number of particles, or volume of gas at standard temperature and pressure.

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**The Mole 1 dozen = 12 1 gross = 144 1 ream = 500 1 mole = 6.02 x 1023**

There are exactly 12 grams of carbon-12 in one mole of carbon-12.

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**I didn’t discover it. Its just named after me!**

Avogadro’s Number 6.02 x 1023 is called “Avogadro’s Number” in honor of the Italian chemist Amadeo Avogadro ( ). I didn’t discover it. Its just named after me! Amadeo Avogadro

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**Calculating Formula Mass**

Calculate the formula mass of carbon dioxide, CO2. 12.01 g + 2(16.00 g) = 44.01 g One mole of CO2 (6.02 x 1023 molecules) has a mass of grams

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**Mole Relationships Liters Mole Grams Atoms or molecules 6.02 x 1023**

22.4 L 6.02 x 1023 22. 4 L Mole Mole Relationships Atomic Mass Grams

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**Calculations with Moles: Converting moles to grams**

How many grams of lithium are in 3.50 moles of lithium? 3.50 mol Li 6.94 g Li = g Li 45.1 1 mol Li

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**Calculations with Moles: Converting grams to moles**

How many moles of lithium are in 18.2 grams of lithium? 18.2 g Li 1 mol Li = mol Li 2.62 6.94 g Li

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**Calculations with Moles: Using Avogadro’s Number**

How many atoms of lithium are in 3.50 moles of lithium? 3.50 mol 6.02 x 1023 atoms = atoms 2.07 x 1024 1 mol

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**Calculations with Moles: Using Avogadro’s Number**

How many atoms of lithium are in 18.2 g of lithium? 18.2 g Li 1 mol Li 6.022 x 1023 atoms Li 6.94 g Li 1 mol Li (18.2)(6.022 x 1023)/6.94 = atoms Li 1.58 x 1024

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**Standard Molar Volume 1 mole of a gas occupies 22.4 liters of volume**

Equal volumes of all gases at the same temperature and pressure contain the same number of molecules. - Amedeo Avogadro At STP (Standard Temperature and Pressure): 1 mole of a gas occupies 22.4 liters of volume

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**Calculations with Moles: Using Standard Molar Volume**

How many moles of hydrogen are in 100 L of hydrogen at STP? 100 L 1 mol = mol 4.64 22.4 L

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**Calculations with Moles: Using Standard Molar Volume**

How many liters are occupied by 3 moles of oxygen gas at STP? 3 mol 22.4 L = L 67.2 1 mol

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Ideal gases and molar volume

Ideal gases and molar volume

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