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The Mole

Conversions involving molar mass and Avogadro’s number. The Mole. The Mole. A unit of measurement for counting atoms or molecules 1 Mole = 602 billion trillion 602,000,000,000,000,000,000,000 6.02 X 10 23 (this is known as Avogadro’s number). Amadeo Avogadro.

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The Mole

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  1. Conversions involving molar mass and Avogadro’s number The Mole

  2. The Mole • A unit of measurement for counting atoms or molecules • 1 Mole= 602 billion trillion • 602,000,000,000,000,000,000,000 • 6.02 X 1023 (this is known as Avogadro’s number)

  3. Amadeo Avogadro • Avogradro’s number is named in honor of Amedeo Avogadro (1776 – 1856) • He studied quantities of gases and discovered that no matter what the gas was, there were the same number of molecules present

  4. What can the mole be used for? • We can count anything using the mole • Example: • 1 mole of M & M’s would stretch from here to the sun and back 200 billion times • * assuming m&m’s are 1 cm in diameter and the distance to the sun is 93 million miles • Can you swim in1 mole of water? • 1 mole of H2O= about 1/3 of a cup (18 mL)

  5. So, why use the mole? • It is helpful in counting a large number of items • If the items are extremely small

  6. A Mole of Particles= 6.02 x 1023 particles A mole of particles = 6.02 x 1023C atoms =6.02 x 1023H2O molecules = 6.02 x 1023NaCl formula unit 1 mole C 1 mole H2O 1 mole NaCl

  7. Conversion Factors * 1 mole = 6.02 x 1023particles Note: Particles could refer to atoms, molecules, formula units * 1 mole = molar mass (g) of compound being used

  8. Conversions: • MUST use dimensional analysis • MUST use the molar mass if grams are used in the problem • Be able to convert from • Moles to atoms or molecules • Moles to grams • Grams to moles

  9. Example 1: • How many atoms are in 0.500 mole of Al? • Setup your problem using dimensional analysis: • * Multiply across and divide by the number at the bottom 6.02 x 10 23 atoms Al 0.500 mol Al = 3.01 x 10 23atoms Al 1 mol Al

  10. Example 2: • How many moles of Sulfur (S) are in 1.8 x 10 24atoms of sulfur ? • (Use dimensional analysis) • * Multiply across and divide by the number at the bottom 1.8 x 10 24atoms S 1 molS = 2.99 mol S 6.02 x 10 23atoms S

  11. Practice Problems • 1.) How many moles are in 5.22 x 10 24 atoms of H2O? • 2.) How many molecules of NaOH are in 23 moles of NaOH?

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