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Moles
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What is a mole? A mole is a measurement Other measurements include:
Couple, dozen, ream, gross, etc.
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1 mole = 6.022 x 1023 representative particles
What is a mole? 1 mole = x 1023 representative particles A HUGE NUMBER! 602,200,000,000,000,000,000,000 Avogadro's Number Memorize this number! A representative particle is the smallest unit into which a substance can be broken down without a change in composition. Atoms, molecules, formula units
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How big is a mole? Assume that the height of a ream (500 sheets) of paper is 5 cm. If you stack up one mole of papers, how many round trips to the moon would the stack make? A round trip to the moon is 768,800 km.
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Answer: Ream of paper (500 sheets) is approximately 5 cm, or 5 x 10-5 km That means each sheet of paper is approximately 1 x 10-7 km high If each sheet of paper is approximately 1 x 10-7 km high, then 1 mole of papers is: (1 x 10-7 km) x (6.02 x 1023)= x 1016 km high. 6.02 x 1016 km / 768,800 km=7.83 x 1010 round trips to the moon, or 78.3 billion trips
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Mole Conversions—Moles to Particles
If you know the moles of a substance, you can calculate the number of particles in it Use Avogadro’s number to calculate
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Mole Conversions—Moles to Particles
Ex. How many water molecules are there in 2 moles of water? 2 moles H20 x 6.02 x 1023 molecules 1 mole H20 Answer: 1.20 X 1024 H2O molecules
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Problems How many moles of magnesium is 1.25 x 1023 atoms of magnesium? 1.25 x 1023 atoms Mg x 1 mol Mg 6.02 X 1023 atoms Mg 2.08 X 10-1 mol of Mg
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How many molecules are in 2.12 mols of propane (C3H8)?
2.12 mol C3H8 x 6.02 X 1023 molecules 1 mol C3H8 1.28 x 1024 molecules of C3H8
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Think about this… If you had a mole of water, would you be able to swim in it?
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How can this happen? One mole of zinc is 65.39 grams
One mole of calcium is grams One mole of magnesium is gram
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protons and neutrons each have a mass of 1 atomic mass unit (amu)
one mole of atomic mass units equals 1 gram. Carbon -12 has 12 amu One mole of carbon is 12 grams
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The mass of a mole of an element such as carbon this is called the gram atomic mass (gam)
The mass of a mole of a covalent compound such as water this is called the gram molecular mass (gmm) The mass of a mole of an ionic compound such as NaCl this is called the gram formula mass (gfm) All three of these can simply be called the MOLAR MASS.
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Finding the Molar Mass Find the molar mass of SO3
Add the atomic mass of the atoms that make the molecule. 1 S = 32 3 O: (3 x 16.0 amu)= 48 amu = 80 grams/mole
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Mole Conversions—Mass to Moles
1. If you know the mass of a substance, you can calculate the number of moles EX.: You have 11.2 g of NaCl. How many moles is that?
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First: Calculate the molar mass of NaCl Na = 22.99 g/mol
Cl = g/mol NaCl = = g/mol This means 1 mol of NaCl = g NaCl
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Use the molar mass to calculate the number of moles in 11.2 g of NaCl
Use the “railroad track”method 11.2 g NaCl x 1 mol NaCl 58.44 g NaCl Answer: .192 moles NaCl
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Mole Conversions—Moles to Mass
If you know the number of moles, you can calculate the mass Ex. How many grams are in 2.50 mol of NaCl?
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Use molar mass as a conversion factor.
2.50 mol NaCl x g NaCl 1 mol NaCl Answer: 146 grams of NaCl
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Practice Problems How many moles are there in 1.50 x 1023 molecules NH3? Calculate the molar mass: N2O3 ? How many moles are in 15.5 g SiO2 ? What is the mass of 14.4 mol F2 ?
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Practice Problems How many moles are there in 1.50 x 1023 molecules NH3? Answer: .249 mols NH3 Calculate the molar mass: N2O3 ? Answer: 76.0 grams/mol How many moles are in 15.5 g SiO2 ? Answer: .258 mols SiO2 What is the mass of 14.4 mol F2 ? Answer: 547 g F2
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