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Mole Conversions. Mr. Shields Regents Chemistry U04 L03. Volume. Moles. Mass. # of Particles. What Are Mole Conversions?. We’re now going to look at some useful Relationships (that is conversions). Actually, we’ve already done some of these!. Chem Conversions.
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Mole Conversions Mr. Shields Regents Chemistry U04 L03
Volume Moles Mass # of Particles What Are Mole Conversions? We’re now going to look at some useful Relationships (that is conversions). Actually, we’ve already done some of these!
Chem Conversions • We know 1 mole = 6.023 x 1023 particles • This is Avogadro’s number (NA) • We also know 1 mole = 22.4 liters • This is the Molar Volume (Vm) • We also know that 1 mole = Molar Mass • So, “How do we convert from • one value to another”?
We Use the “Conversion Chart” AKA - The Mole Map
Volume Moles Mass # of Particles Mole Conversions • RULE 1: ALL conversionsTO MOLESinvolveDIVISION • RULE 2: ALL conversionsFROM MOLESto MASS, VOLUME, • or # OF PARTICLES involveMULTIPLICATION “Moles leave the mole hole to Multiply”
Converting Moles to Particles (There and back again) • Remember 6.02 X 1023 = 1 mole of anything • Atom, molecules, protons, ions, marbles • Take a look at the Mole Map • Particles to Moles: (into the mole hole) Divide the # of Particles by 6.022 x 1023 • Moles to Particles: (out of the mole hole) Multiply the # of moles by 6.022 x 1023
Mole/Particle Conversions Try this …. 1. How many molecules are there in 4.0 moles of H2O2? # of molecules = 4.0 moles x 6.02 x 1023 particles 1 mole = 24 x 1023 = 2.4 x 1024 particles 2. How many moles are there in 7.14 x 1023 molecules? # of moles = 7.14 x 1023 particles / 6.02 x 1023 particles 1 mole = 1.19 moles
Mole/Particle Conversions How about this one? • How many atoms are in 3 moles of sugar (C12H24O11)? 3 moles of sugar X 6.02 X 1023 Mole of sugar = 18.06 X 1023 = 1.806 X 1024 molecules of sugar #atoms = 47 x 1.806 x 1024 = 8.49 x 1025
Volume Moles Mass # of Particles Mole/Mass Conversions • Look at the Conversion Chart Again… • Mass to Moles: Divide mass by molar mass • Moles to Mass: Multiply moles by molar mass
Mole/Mass Conversions • You’re going to need to use the Periodic Table for any conversion involving mass because we need to 1st calculate Molar mass How many moles of CoCl2.6H2O are there in 160g? (We’re going into the mole hole so we’re going to be dividing) Molar mass= 58.933 + 2x35.453 + 12x1.008 + 6x15.999 = 237.881 g/mol # of moles = 160g / 237.881g/mol = 0.67 moles
Mole/Mass Conversions Let’s now convert moles to grams … How many grams are in 0.954 moles of CuSO4 ? (Remember … We’re leaving the mole hole so we’ll be multiplying) First find the molar mass of the CuSO4 compound. Cu = 63.5 S = 32.1 4O = 64 Molar mass of CuSO4 = 159.6 g/mol 0.954mol x 159.6 g/mol = 152.26 g
Problems • How many atoms are there in 98.5 grams of tin ? • 2. How many atoms are there in 20 grams of H20 ? Gram Atomic mass of Tin = 118.71 grams 98.5/118.71 = 0.83 moles 0.83 moles x 6.022 x 1023 atoms/mole =5.0 x 1023 atoms gram molecular mass of water = 18 grams 20g/18g = 1.11 moles 1.11 moles x 6.022 x 1023 = 6.69 x 1023 molecules H20 3 x 6.69 x 1023 molecules = 2.0 x 1024atoms
Problems Here’s another problem: Which sample contains the same number of atoms as 4g of Lithium? 1) 1.16g He 2) 20.18g Ne 3) 17.96g P 4) 10.46g Be ANS: Gram Atomic mass of Li = 6.94 g 4 g/6.94 g = 0.58 moles Atomic Mass He (4.00) Ne (20.18) P (30.97) Be (9.01) Mol of He = 1.16/4 = 0.29 Mol of Ne = 20.18/20.18 = 1 Mol of P = 17.96/30.97= 0.58 Mol of Be = 10.46/9.01 = 1.16
Volume/Mole Conversions • OK. Now lets convert between Volume and moles. • Look at the Conversion Chart … • Volume to Moles: • Vm = 22.4L / mole at STP • Moles to Volume: Divide volume by molar volume Multiply mol by molar volume These calculations are independent of what gas Is involved Ex. NH3, CO2, H2 etc.
Volume/Mole Conversion Problem: How many liters are occupied by 3.5mol of NH3 at STP? 3.5 mol x 22.4L = 78.4L 1 mol How many moles are there in 6.5L of N2? How many grams are there? 6.5L / 22.4L = .29 mol 0.29 mol x 28.02g/mol = 8.13g