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As you come in,. The Materials: Pick up a packet and assessment plan. Paper , pencil, scientific calculator, periodic table The Plan: Learn about 3 definitions of a mole Solve dimensional analysis problems HOMEWORK: See your calendar!. Meet the Mole. Moles.
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As you come in, • The Materials: • Pick up a packet and assessment plan. • Paper, pencil, scientific calculator, periodic table • The Plan: • Learn about 3 definitions of a mole • Solve dimensional analysis problems • HOMEWORK: • See your calendar!
Moles • The mole is a unit of measurement used in chemistry. • The unit can be defined in multiple ways. (We’ll learn 3 today.) • In its simplest terms, it represents a specific number. • Dozen = what number? • Pair = what number? • Baker’s dozen = what number? • Mole = 6.022 x 1023
Mole = 6.022x1023 things • Just like a dozen means 12 of anything... 6.022x1023 of anything equals of mole. • Consider the size of 6.022x1023. Is it large or small? • Would you commonly use 6.022x1023 with large things or small things?
Atoms, Elements, & Compounds • In chemistry, we are often dealing with VERY SMALL things. • Atoms are SUBmicroscopic. In order to have an amount large enough with which to really interact, we need quite a few atoms. 6.022x1023 is the number that Amadeo Avogadro chose in his lab using carbon.
Avogadro’s Number • 6.022x1023 • My pet mole is named Avogadro.
Defining the Mole • Counting • Weighing • Amount of Space Needed • Let’s represent our 3 mole definitions in a graphic organizer.
Moles & Mass of Compounds • A compound is a collection of atoms. • To calculate the mass of one mole of a compound, you’d need to add up the mass of all the atoms. This is called the MOLAR MASS. • Example: 1 mole CH4 = ______ g CH4 • 1 C = 12.011 g C • 4 H = 4(1.0079 g H) • Total = 16.04 g/mol
iRespond Question Fill-In F Example 6.5 Calculate the molar mass of sulfur dioxide, a gas produced when sulfur-containing fuels are burned. Record your answer to TWO decimal places. A.) 64.07;64.10;64.1 B.) C.) D.) E.)
Example 6.5 • Calculate the molar mass of sulfur dioxide, a gas produced when sulfur-containing fuels are burned. • SO2 • S = 32.07 g • O = 2(16.00 g) • Total = 64.07 g/mol • Can also be expressed as 1 mol SO2 = 64.07 g
iRespond Question Fill-In F Practice Problems 6.5 Polyvinyl chloride, called PVC, which is widely used for floor coverings (“vinyl”) as well as for plastic pipes in plumbing systems, is made form a molecule with the formula C2H3Cl. Calculate the molar mass of this substance. Record the answer to TWO decimal places. A.) 62.49;62.50;62.5 B.) C.) D.) E.)
Practice Problems 6.5 • Polyvinyl chloride, called PVC, which is widely used for floor coverings (“vinyl”) as well as for plastic pipes in plumbing systems, is made form a molecule with the formula C2H3Cl. Calculate the molar mass of this substance. • 62.49 g/mol
Learning to Use the Mole Map • Using the Mole Concept to Calculate • Page 182-7 • EX 6.3, EX 6.4, EX. 6.6
Example 6.3 • Aluminum (Al), a metal with a high strength-to-weight ratio and a high resistance to corrosion, is often used for structures such as high-quality bicycle frames. Compute both the number of moles of atoms and the number of atoms in a 10.0-g sample of aluminum. • How many calculations is this prompt asking me to carry out?
Example 6.3 (Guided) • Aluminum (Al), a metal with a high strength-to-weight ratio and a high resistance to corrosion, is often used for structures such as high-quality bicycle frames. Compute both the number of moles of atoms and the number of atoms in a 10.0-g sample of aluminum. • Concentrate on one calculation at a time
Example 6.4 (INDEPENDENT) iRespond Question Multiple Choice F A silicon chip used in an integrated circuit of a computer has a mass of 5.68 mg. How many silicon (Si) atoms are present in this chip? The average atomic mass for silicon is 28.09 amu. A.) 3.36X10-25 B.) 1.22X1023 C.) 1.22X1020 D.) none of these E.)
Example 6.6 (GUIDED) • Calcium carbonate, CaCO3 (also called calcite), is the principal mineral found in limestone, marble, chalk, pearls, and the shells of marine animals. • Calculate the molar mass of calcium carbonate. • A certain sample of calcium carbonate contains 4.86 mol. What is the mass in grams of this sample?
Practice Problem 6.6 iRespond Question Multiple Choice F Calculate the molar mass for sodium sulfate, Na2SO4. A sample of sodium sulfate with a mass of 300.0 g represents what number of moles of sodium sulfate? A.) 2.112 B.) 42,600 C.) 2.520 D.) none of these E.)
Molar Volume • If converting between the units of moles and liters of a gas, what conversion factor is needed? • 1 mole = ________________ • 1 mole = 22.4 Liters • Example: During cellular respiration, a cell releases 2.1 mol of O2 gas. What volume is needed to hold that gas?
Example 6.7 (GUIDED) • Juglone, a dye known for centuries, is produced from the husks of black walnuts. The formula for juglone is C10H6O3. • A sample of 1.56 g of pure juglone was extracted from black walnut husks. How many moles of juglone does this sample represent? • How many atoms of carbon are present in the sample?
Partner Practice • On a clean sheet of paper, show your work for 10-2 Practice Problems (1-3, 12-14, 17, 18, 23-25).
Chalk lab Example (Guided) • Last week, you created a poster using chalk. • How many grams of chalk did you use on the poster? • How many moles of chalk did you use? • How many formula units of chalk did you use? • How many atoms of Ca did you use? • How many atoms of C did you use? • How many atoms of O did you use?
Mole/Particle Practice Problems • I marked mistakes on your papers, but I did not correct them. • Correct and complete 1-8 tonight for homework. • Let’s solve 9 and 10 together now.
Percent Composition • The relative amounts of each element in a compound are expressed in percent composition. AKA: percent by mass of each element • % of element = grams of element X 100 grams of compound
Example 6.9 (GUIDED) • Carvone is a substance that occurs in two forms, both of which have the same molecular formula (C10H14O) and molar mass. One type of carvone give caraway seeds their characteristic smell; the other is responsible for the smell of spearmint oil. Compute the mass percent of each element in carvone.
Percent by Mass Worksheet • Individually, calculate the mass percents of the first three compounds on the worksheet. • Let’s check your work.
Connecting Moles & Mass % to Chemical Formulas • Mass % is easily related to chemical formulas • The relationship of moles to chemical formulas requires a little more thought...
Type of Chemical Formula: Empirical Formula • Empirical formula: lowest whole number ratio of the atoms of the elements in a compound • Ionic compounds are criss-crossed and then reduced. Ionic compound formulas are nearly always empirical formulas. • Empirical formula doesn’t have to be the same as the actual molecular formula of the compound. • Remember, “molecule” means covalent compound. Covalent compounds weren’t always in a reduced form.
Empirical Formula • CH2O • Calculate the mass percent of each element. • C = 40% • H = 6.7% • O = 53.3% • Isn’t this the reduced formula for: C3H6O3, C4H8O4, C5H10O5, & C6H12O6 • Row 1: Calculate the mass percent of C3H6O3. • Row 2: Calculate the mass percent of C4H8O4. • Row 3: Calculate the mass percent of C5H10O5. • Row 4: Calculate the mass percent of C6H12O6. • The percentages (ratio) of the elements is the same with all of these formulas because they share the same reduced form.
Type of Chemical Formula: Molecular Formula • Molecular formula: actual formula for the compound which gives the composition of the molecule • Glucose shares an empirical formula with many compounds, but it has its molecular formula all to itself. • 6(CH2O) = glucose • C6H12O6
Calculating Empirical Formulas • When an unknown compound is found, instruments can tell scientists the mass percent composition of the compound. • Calculations are required to convert that series of percentages into a chemical formula. • We start by converting to the empirical formula.
What is she talking about? • White powder found in the hallway • Mass spectroscopy instrument used to analyze the unknown powder • Data from the instrument: • 40.9 % Carbon • 4.58% Hydrogen • 54.5% Oxygen • Molar mass of 180 grams/mole • Use these %s, formula knowledge, & mole knowledge to figure out the chemical formula of the powder
Calculating Empirical Formula • Use a simple rhyme! • % to gram • Gram to mole • Divide by the smallest • Multiply ‘til whole.
Example 6.11 • An oxide of aluminum is formed by the reaction of 4.151 g of aluminum with 3.692 g of oxygen. Calculate the empirical formula for this compound. • % to gram = IS DONE FOR YOU • Gram to mole = dimensional analysis • Let’s carry out the calculation on the board.
Example 6.13 • A sample of lead arsenate, an insecticide used against the potato beetle, contains 1.3813 g of lead, 0.00672 g of hydrogen, 0.4995 g of arsenic, and 0.4267 g of oxygen. Calculate the empirical formula for lead arsenate.
Example 6.14 • The most common form of nylon is 63.68% carbon, 12.38% nitrogen, 9.80% hydrogen, and 14.4% oxygen. Calculate the empirical formula for nylon.
Calculating Molecular Formula • Molecular Formula= n(empirical formula) (Remember 6(CH2O) = glucose) • We know how to calculate the empirical formula, but how do we know what number to multiply it by? n= molecular formula mass/molar mass of empirical
Example 6.15 • A white powder is analyzed and found to have an empirical formula of P2O5. The compound has a molar mass of 283.88 g/mol. What is the compound’s molecular formula?
Practice Problem 6.15 • A compound used as an additive for gasoline to help percent engine knock shows the following percentage composition: • 71.65% Cl • 24.27% C • 4.07% H The molar mass is known to be 98.96 g. Determine the empirical formula and the molecular formula for this compound.
Individual Practice • Page 208 4-6
You may not be practicing enough… • On a clean sheet of paper, work the following problems individually: • Calculate the number of oxygen atoms in 3.5 g aluminum sulfate. • Calculate the number of molecules of O2 gas in 2.5 L of O2. • Calculate the number of grams of iron that contain the same number of atoms as 2.24 g of cobalt. (pg 214 #57) • Quiz answers are coming.
Empirical/Molecular Formula • The final product in protein metabolism is urea. Urea contains 20.00% C, 6.73% H, 46.65% N, and 26.64% O. The molar mass of urea is 60.07g/mol. Calculate the empirical formula and molecular formula.
Hydrate Lab Details • You’ll have to READ (not skim) the lab to be successful. • Steps 1-5 are probably unnecessary. • Steps 6-11 are vital. Substitute hot plate for Bunsen burner. • Notice the “Observations and Data” area on the back. You’ll need those measurements. • The calculations are described to you in each question. Just follow the directions. • You’ll need to answer the “Questions for Discussion,” too.
Calculations hints • Subtract. • % water lost =[water lost/hydrate mass]100 • % water in hydrate = [5(water molar mass)/total molar mass] 100 • Subtract. %water in hydrate - %water lost from your hydrate • % error = [#4 answer/#3 answer]100