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The Mole Chapter 10 Counting Matter Matters (and breakout the calculators and periodic tables) Scientific Notation (you need to know this before we begin) • Another way to write large numbers 1000 = • 1 x 103 1, 000, 000 = • 1 x 106 .001 = • 1 x 10-3 .000001 = • 1 x 10-6 Write the following in Scientific or Regular Notation • 700 • 7 x 102 • .0054 • 5.4 x 10-3 • 3.60 x 105 seconds • 360,000 seconds • 5.4 x 10-5 g/mL • .000054 g/mL The Hope Diamond is BIG • Write the scientific notation for the following about the Hope Diamond: – There are 460, 000, 000, 000, 000, 000, 000, 000 C atoms – 4.6 x 1023 atoms of C Move the decimal left 23 times – The mass of a C atom is 0.00000000000000000000002g – 2 x 10-23 g per C atom Move the decimal right 23 times Adding and Subtracting Sci. Not. • To add or subtract the exponents must be the same 1017 1.50 x + 6.5 x 1016 • This should be… 1.50 x 1017 + 0.65 x 1017 2.15 x 1017 • Add • • • • • 3.40 x 106 + 6.50 x 107 6.84 x 107 Add 3.40 x 10-6 + 6.50 x 10-7 4.05 x 10-6 Subtract 3.4 x 107 - 6.50 x 106 2.75 x 107 Multiplying and Dividing Sci. Not. • A 2 step process (1 x 103) x (5 x 102) Multiplication: • Multiply Coefficients 1 x 5 =5 • Add Exponents 3+2=5 • Answer 5 x 10 5 • A 2 step process (4 x 103) ÷ (2 x 10-6) Division: • Divide Coefficients 4 ÷ 2 =2 • Subtract Exponents 3 – (-6) = 9 • Answer 2 x 10 9 The Mole (Mol) • This is a number scientists use to count particles like – Atoms (Cu) – Molecules (H20) – Ionic Compound Formula Units (NaCl) • 12=Dozen • Pair=2 • Mol=6.02x1023 – 602, 213, 670, 000,000,000,000,000 Using Molar Mass • Let us convert between particles, mass, mols. How did they come up with that number? • Used to measure the amount of a substance. • Based on the amount of atoms in 12 grams of carbon • Also called the mol or Avogadro’s number: – An Italian Scientist who found the volume of 1 mol of gas. Using the Mol: Converting moles to find Particles • Conversion Factors: 6.02x1023 particles 1 mol • Particles= (number of moles) x 6.02x1023 particles 1 mol • How many molecules in 3.5 moles of sucrose? 3.5 mol sucrose x 6.02x1023 particles = 2.1 x 1024 molecules of sucrose 1 mol sucrose Using the Mol: Converting particles to find moles • Conversion Factors: _____1 mol_____ 6.02x1023 particles • moles= (number of particles) x _____1 mol_____ 6.02x1023 particles • How many moles in 4.5 x 1024 atoms of Zinc? 2.1 x 1024 atoms of Zn x = 1 mol Zn atoms = 7.5 moles of Zn atoms 6.02x1023 Zn Atoms Mass and the Mole • Molar Mass: The Mass of 1 mole of pure substance. – This is numerically equal to the atomic mass of a substance – 12g of Carbon = 1 mol of Carbon atoms – 16g of Oxygen= 1 mol of OxygenAtoms – 32g of O2 = 1 mol of Oxygen Molecules – How many grams for a mol of CO2? Mass and the Mole • Molar Mass: The Mass of 1 mole of pure substance. – This is numerically equal to the atomic mass of a substance – 12g of Carbon = 1 mol of Carbon atoms – 16g of Oxygen= 1 mol of OxygenAtoms – 32g of O2 = 1 mol of Oxygen Molecules – How many grams for a mol of CO2? • Add Mass of C + Mass of O + Mass of O • 12g+16g+16g= 44g