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Chapter 10.1 Stoichiometry
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Stoichiometry Stoicheion: relationship Metron: amount How # particles, mass and volume of matter are related
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Measuring Matter You can measure matter in three ways 1.Number of particles( #atoms, #molecules) 2.Mass (mg, g, kg) 3.Volume (ml, L) Different measurements can be converted into each other using conversion factors
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Particles in Chemistry Representative Particles (RP) in chemistry 1.atoms 2.compounds 3.ions Abbreviated: # RP
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RPs in chemistry are so small They are grouped into larger packages called moles
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The mole (lower cased) 1 mole has 6.02 x 10 23 RPs called Avogadro’s Number
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RP’s in chemistry are written in scientific notation 6.02 x 10 23 Coefficient Exponent
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Meaning of a decadic exponent 10 0 = 1 10 1 = 10 10 10 2 = 100 10 x 10 10 3 = 100010 x 10 x 10 10 -1 = 0.11/10 1 10 -2 = 0.011/10 2 10 -3 = 0.001 1/10 3
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3 Rules for correct scientific notations #1. Coefficient has to be a number larger/equal than 1.00 and smaller than 10 #2. Has to have two decimals (round or add zeros) #3. Do all math with the coefficient, then adjust exponent
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Correct the following Scientific Notations 1.0.09 x 10 9 RP 2.2,315.74 x 10 23 RP 3.100.74 x 10 -6 RP 4.0.34 x 10 -10 RP Write the following numbers in scientific notation 5. 103 6. 0.23 7. 2,894.78
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1. Converting between Particles and Moles Converting moles to particles ___1 mole___ or __6.02 x 10 23 RP 6.02 x 10 23 RP 1 mole
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Steps to solve Stoichiometry Problems 1. Pathway PW 2. Substitute with conversion factors 3. Reduce and solve 4. Write an answer sentence
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Practice Q1: How many molecules (RP) are in 19.76 moles? PW: Moles → RP 19.76 moles X 6.02 x 10 23 RP = 1 1 mole Q 2:
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How many moles are 8.25 x 10 25 ions?
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Explain to a neighbor a)the advantages of writing numbers in scientific notation b)The rules of scientific notation
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2. Molar Mass Mass of elements are listed in the periodic table is called Average Atomic Mass - AAM What is the AAM of Carbon? We called it 12.01 amu New: 12.01 g new unit!!! 1 mole Means: 1 mole of Carbon has the mass of 12.01 gram This is the socalled Molar Mass
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Practice What is the Molar Mass of O, K, S-33, 14 6 C O: 16.00 g 1 mole K: 39.10 g 1 mole S-33 33.00 g 1 mole 14 6 C: 14.00 g 1 mole
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2. Molar Mass of Molecules: Example CO 2 add the mass of the individual elements together 1 x C = 12.01 g/ mol 2 x O = 2 x 16.00g = 32.00 g/ mol Total 44.01 g/mole Means one mole of CO 2 has the mass of 44.01 g Conversion factor: 1 mole CO2 or 44.01 g 44.01 g 1 mole CO2
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Practice What is the molar mass of 1.C 2 H 4 2.Mg(OH) 2 3.Water 1. 28.06g/mole 2. 58.33 g/mole 3. 18.02 g/mole
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Warm-up Calculate the molar masses of 1.C 3 H 8 2.Aluminum carbonate 3.Dinitrogen tetrahydride Answer: 1.44.11 g/mole 2.Al 2 (CO 3 ) 3 233.99 g/mole 3.N 2 H 4 32.06 g/mole
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Stoichiometry with Mass/Moles/#RP Pathway connections Mass #RP does not exist! Instead: Go over mole island! Mass ↔ Mole ↔ #RP 1.What is the mass of 2.4 moles of CO 2 ? MM=44.01 g/mole
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Practice Mass ↔ Mole ↔ #RP What is the mass of 1.87 x 10 24 molecules of CO 2 ?
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How many moles are in 20.00 g of water?
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# Atoms in One Molecule
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How many atoms are in …molecules Total up all atoms in a molecule: Example: C 6 H 12 O 6 6 Carbon atoms, 12 Hydrogen, 6 Oxygen 6+12+6 =24 atoms in one molecule C 6 H 12 O 6
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Conversion factor for atoms in C 6 H 12 O 6 1 molecule C 6 H 12 O 6 or ___24 atoms_____ 24 atoms 1 molecule C 6 H 12 O 6
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Practice Q 1: How many atoms are in 3.6 x 10 23 molecules of C 6 H 12 O 6 ? Q2: How many atoms are in 4.5 moles of NH 3 ?
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