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Learn how to measure matter using moles and molar mass. Understand Avogadro's number and convert between moles and particles. Calculate molar mass and convert moles to mass.
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How do we measure matter? pound By weight: We buy bananas by the _______________. By volume: Milk is sold by the ____________________. By counting: There are ________ students in class. gallon
Many words are used to express a specific quantity. • Pair = • Dozen = Chemical Quantities 2 12
How do we measure matter? • What if I wanted to know how many ATOMS were in this copper penny? Would you like to count? Could you?
Avogadro’s Number • You can count particles if you introduce a term that represents a specified number of particles. • In chemistry, the term used to express a specific number of particles is a mole.
Avogadro’s Number • 1 mole = 6.02 x 1023particles • That’s 602,000,000,000,000,000,000,000 • A very large number!
Avogadro’s Number This number is known as Avogadro’s number, named after Amedeo Avogadro (an Italian physicist and mathematician).
HOW LARGE IS IT??? • 1 mole of hockey pucks would equal the mass of the moon! • 1 mole of pennies would cover the Earth 1/4 mile deep!
Representative Particles Representative particles are units used to measure the number of particles in a sample of an element or compound.
Representative Particles What is the representative particle for each of these substances? • copper • sodium chloride • water atom formula unit molecule
MOLE • A mole is the SI unit that measures the amount of a substance. • A mole can be related to: • number of particles • mass • volume of a gas
one mole Avogadro’s number of particles mass in grams using the periodic table 22.4 L of a gas
MOLE • Use dimensional analysis to convert: • moles to molecules • moles to atoms • moles to formula units • moles to grams • grams to atoms • and many more….
MOLE When converting between moles and particles, the conversion factor to remember is: 1 mol = 6.02 x 1023 particles The particle unit can be atoms, molecules, or formula units.
Mole/Particle Examples 1. How many moles are in 3.25 X 1020 atoms of lead? 1 mol = 6.02 x 1023 atoms 3.25 x 1020 atoms Pb 1 molPb 6.02 x 1023 atoms Pb = 5.398671 x 10-4 = 5.40 x 10-4molPb
Mole/Particle Examples 2. How many molecules are there in 8.3 moles of sugar (C12H22O11)? 1 mol = 6.02 x 1023 molecules 8.3 mol C12H22O11 6.02 x 1023molec. C12H22O11 1 mol C12H22O11 = 4.9966 x 1024 = 5.0 x 1024molec. C12H22O11
Mole/Particle Examples 3. How many atoms are in 0.425 mol sulfur? 1 mol = 6.02 x 1023 atoms 0.425 mol S 6.02 x 1023 atoms S = 2.5585 x 1023 1 mol S = 2.56 x 1023 atoms of S
Mole/Particle Examples 4. How many moles are in 5.42 x 1022 formula units of NaCl? 1 mol = 6.02 x 1023 atoms 1 molNaCl 5.42 x 1022 Form. U NaCl 6.02 x 1023 Form. U NaCl = 0.090033222 = 0.0900 molNaCl
Molar Mass molar mass – the mass in grams of one mole of an elementor compound.
Terms that Describe the Mass of a Substance • Atomic mass – mass of one atom of an element (unit = amu) • Molecular mass - mass of one molecule of a covalent compound (unit = amu) • Formula mass - mass of one formula unit of an ionic compound (unit = amu) • Molar mass - mass of one mole of an element or compound (unit = g/mol).
Molar Mass To calculate molar mass: • Obtain all of the masses of the involved elements from the periodic table. • Multiply each element’s mass by the subscript. • Add the resulting products. • Round the answer to the proper number of decimal places.
Molar Mass of Element Examples • Aluminum = • Zinc = 26.982 = 26.98 g/mol 65.38 g/mol
Molar Mass of Compounds Examples P2O5 • Diphosphorus pentaoxide P = X 2 = 61.948 30.974 + O = 15.999 X 5 = 79.995 141.943 = 141.94 g/mol
Molar Mass of Compounds Examples +3 -1 Al(OH)3 • Aluminum Hydroxide Al = X 1 = 26.982 26.982 O = 15.999 X 3 = 47.997 + H = 1.008 X 3 = 3.024 78.003 = 78.00 g/mol
Molar Mass of Compounds Examples +2 -3 Ba3(PO4)2 • Barium phosphate Ba = = 411.984 137.328 X 3 P = = 61.948 30.974 X 2 + = 127.992 O = X 8 15.999 = 601.92 g/mol 601.924
Moles to Mass • Use dimensional analysis to convert • moles to mass or mass to moles. • Mass unit = grams • Conversion Factor to Remember: • 1 mol = molar mass of the element or compound (molar mass = g/mol) found on the periodic table
Moles to Mass Examples • How many moles of carbon are in 26 g of carbon? Carbon: 1 mol = 12.01 g (from PT) 26 g of C 1 mol of C = 2.164862614 12.01 g of C = 2.2 mol of C
Moles to Mass Examples • How many grams are there in 2.37 moles of CO2? C = 12.011 x 1 O = 15.999 x 2 = 12.011 = 31.998 + 44.009 g = 1 mol 44.01 g CO2 2.37 molCO2 = 104.3037 1 mol CO2 = 104 g CO2
Moles to Mass Examples • How many moles are present in 142.1 grams of NaCl? Na = 22.990 x 1 Cl = 35.453 x 1 = 22.990 = 35.453 + 58.443 g = 1 mol 1 molNaCl 142.1 g NaCl = 2.43155373 58.44 g NaCl = 2.432 molNaCl
Moles to Mass Examples • How many grams are in 3.34 moles of potassium bromide? +1 -1 KBr K = 39.098 x 1 Br = 79.904 x 1 = 39.098 = 79.904 + 119.002 g = 1 mol 119.00 g KBr 3.34 molKBr = 397 g KBr = 397.46 1 molKBr
Molar Volume of a Gas • The volume of a gas changes as the temperature and pressure change, so the volume is usually measured at standard temperature and pressure. • STP = abbreviation for standard temperature and pressure • Standard temperature = 0oC = 273 K • Standard pressure = 1 atm or 101.3 kPa
Molar Volume of a Gas • At STP, one mole of any gas occupies the same volume: 22.4 L.
Molar Volume of a Gas • Use dimensional analysis to convert: • volume (liters) to moles • or moles to volume (liters) • Conversion Factor to Remember: • 1 mole = 22.4 L
Molar Volume of a GasExamples • Determine the volume, in liters, of 0.60 mol SO2 gas at STP.
Molar Volume of a GasExamples • Assuming STP, how many moles are in 67.2 L SO2?
Molar Volume of a GasExamples • How many moles are in 1.0 x 103 L of C2H6?
Molar Volume of a GasExamples • What is the volume at STP of 3.20 x10-3 mol CO2?
Mole Calculations Learned # of Particles (atoms, molecules, formula units) 1 mol = 6.02 x 1023 particles Liters of gas at STP 1 mol = 22.4 L MOLES 1 mol = mass from Periodic Table Mass (grams)