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The Mole Measurement of Matter
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Measuring Matter How do we measure matter?How do we measure matter? Count, Mass, or VolumeCount, Mass, or Volume Counting: 1 dozen apples = 12 applesCounting: 1 dozen apples = 12 apples Mass: 1 dz. Apples = 2.0 kg applesMass: 1 dz. Apples = 2.0 kg apples Volume: 1 dz. Apples = 0.20 bushels applesVolume: 1 dz. Apples = 0.20 bushels apples
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Unit Conversions Relating to a dozen allows you to convert between the unitsRelating to a dozen allows you to convert between the units Unit Conversion FactorsUnit Conversion Factors
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What is the Mole? A counting number (like a dozen)A counting number (like a dozen) Avogadro’s number (N A )Avogadro’s number (N A ) 1 mol = 6.02 10 23 items1 mol = 6.02 10 23 items
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Size of Moles 1 mole of pennies would cover the Earth 1/4 mile deep!1 mole of pennies would cover the Earth 1/4 mile deep! n n 1 mole of hockey pucks would equal the mass of the moon! n n 1 mole of basketballs would fill a bag the size of the earth!
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Molar Mass Mass of 1 mole of an element or compound.Mass of 1 mole of an element or compound. Atomic mass tells the...Atomic mass tells the... atomic mass units per atom (amu) atomic mass units per atom (amu) grams per mole (g/mol) grams per mole (g/mol)
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Molar Mass Examples carboncarbon aluminumaluminum zinczinc 12.01 g/mol 26.98 g/mol 65.39 g/mol
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Molar Mass Examples waterwater sodium chloridesodium chloride H2OH2O 2(1.01) + 16.00 = 18.02 g/mol NaCl 22.99 + 35.45 = 58.44 g/mol
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Molar Mass Examples sodium bicarbonatesodium bicarbonate sucrosesucrose NaHCO 3 22.99 + 1.01 + 12.01 + 3(16.00) = 84.01 g/mol C 12 H 22 O 11 12(12.01) + 22(1.01) + 11(16.00) = 342.34 g/mol
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Molar Conversions molar mass (g/mol) MASS IN GRAMS MOLES NUMBER OF PARTICLES 6.02 10 23 (particles/mol)
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Molar Conversion Examples How many moles of carbon are in 26 g of carbon?How many moles of carbon are in 26 g of carbon? 26 g C 1 mol C 12.01 g C = 2.2 mol C
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Molar Conversion Examples How many molecules are in 2.50 moles of C 12 H 22 O 11 ?How many molecules are in 2.50 moles of C 12 H 22 O 11 ? 2.50 mol 6.02 10 23 molecules 1 mol = 1.51 10 24 molecules C 12 H 22 O 11
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Molar Conversion Examples Find the mass of 2.1 10 24 molecules of NaHCO 3.Find the mass of 2.1 10 24 molecules of NaHCO 3. 2.1 10 24 molecules 1 mol 6.02 10 23 molecules = 290 g NaHCO 3 84.01 g 1 mol
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Mole: unit for defining a group of atomsMole: unit for defining a group of atoms Avogadro’s number = 6.022 x 10 23Avogadro’s number = 6.022 x 10 23 1 mole of atoms = 6.022 x 10 23 atoms1 mole of atoms = 6.022 x 10 23 atoms Molar mass - The mass (g) of 1 mole of atomsMolar mass - The mass (g) of 1 mole of atoms What is the molar mass of carbon? 12.01 g/mol CWhat is the molar mass of carbon? 12.01 g/mol C One mole of any element contains the same number of atoms, 6.022 x 10 23, Avogadro’s numberOne mole of any element contains the same number of atoms, 6.022 x 10 23, Avogadro’s number The Mole and Avogadro’s Number
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Practice Calculations 1.Calculate the number of atoms in 1.7 moles of boron. 2.Find the mass in grams of 2.5 mol Na (sodium). 3.Calculate the number of atoms in 5.0 g aluminum. 4.Calculate the mass of 5,000,000 atoms of Au (gold)
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