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Unit 2: Stoichiometry & Mole Calculations Mole Bridge & Average atomic mass
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Using Moles Moles provide a bridge from the molecular scale to the real-world scale Ionic bonds = formula units Covalent bonds = molecules
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SAMPLE EXERCISE 3.10 Converting Grams to Moles Calculate the number of moles of glucose (C 6 H 12 O 6 ) in 5.380 g of C 6 H 12 O 6. Plan: The molar mass of a substance provides the factor for converting grams to moles. The molar mass of C 6 H 12 O 6 is 180.0 g/mol (Sample Exercise 3.9). Check: Because 5.380 g is less than the molar mass, it is reasonable that our answer is less than one mole. The units of our answer (mol) are appropriate. The original data had four significant figures, so our answer has four significant figures. Solve: Using 1 mol C 6 H 12 O 6 = 180.0 g C 6 H 12 O 6 to write the appropriate conversion factor, we have
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SAMPLE EXERCISE 3.11 Converting Moles to Grams Calculate the mass, in grams, of 0.433 mol of calcium nitrate. Plan: In order to convert moles to grams, we need the molar mass, which we can calculate using the chemical formula and atomic weights. Check: The number of moles is less than 1, so the number of grams must be less than the molar mass, 164.1 g. Using rounded numbers to estimate, we have 0.5 150 = 75 g. Thus, the magnitude of our answer is reasonable. Both the units (g) and the number of significant figures (3) are correct.
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SAMPLE EXERCISE 3.12 Calculating the Number of Molecules and Number of Atoms from Mass (a) How many glucose molecules are in 5.23 g of C 6 H 12 O 6 ? (b) How many oxygen atoms are in this sample? Check: The magnitude of the answer is reasonable. Because the mass we began with is less than a mole, there should be less than 6.02 10 23 molecules. We can make a ballpark estimate of the answer: 5/200 = 2.5 10 –2 mol; 2.5 10 –2 6 10 23 = 15 10 21 = 1.5 10 22 molecules. The units (molecules) and significant figures (three) are appropriate. Solve: Molecules C 6 H 12 O 6
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SAMPLE EXERCISE 3.12 continued (b) Plan: To determine the number of O atoms, we use the fact that there are six O atoms in each molecule of C 6 H 12 O 6. Thus, multiplying the number of molecules C 6 H 12 O 6 by the factor (6 atoms O/1 molecule C 6 H 12 O 6 ) gives the number of O atoms. Check: The answer is simply 6 times as large as the answer to part (a). The number of significant figures (three) and the units (atoms O) are correct. Solve:
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Average Atomic Mass
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Let’s say you were sent from a planet far away to find the molar mass of man. Here’s the data you collected: 10% @ 200 lbs. 70% @ 55 lbs 20% @ 135 lbs
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Here’s your calculation: (0.10)(200) + (0.70)(55) + (0.20)(135) = 20 + 38.5 + 27 = 85.5 lbs 85.500
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Atomic Mass Atomic and molecular masses can be measured with great accuracy with a mass spectrometer.
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Average Mass Because in the real world we use large amounts of atoms and molecules, we use average masses in calculations. Average mass is calculated from the isotopes of an element weighted by their relative abundances.
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SAMPLE EXERCISE 2.4 Calculating the Atomic Weight of an Element from Isotopic Abundances Naturally occurring chlorine is 75.78% 35 Cl, which has an atomic mass of 34.969 amu, and 24.22% 37 Cl, which has an atomic mass of 36.966 amu. Calculate the average atomic mass (that is, the atomic weight) of chlorine. Solution The average atomic mass is found by multiplying the abundance of each isotope by its atomic mass and summing these products. Because 75.78% = 0.7578 and 24.22% = 0.2422, we have This answer makes sense: The average atomic mass of Cl is between the masses of the two isotopes and is closer to the value of 35 Cl, which is the more abundant isotope.
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Isotopes: Atoms of the same element with different masses. Isotopes have different numbers of neutrons. 11 6 C 12 6 C 13 6 C 14 6 C
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Resolution of Mixtures Postlab
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Results? Why, man, I have gotten lots of results! If I find 10,000 ways something won't work, I haven't failed. I am not discouraged, because every wrong attempt discarded is often a step forward… --Thomas Alva Edison
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Part A] Comment on purity of benzoic acid crystals isolated Theoretical melting point = 122˚C Choose your best temperature to calculate % error = │ Theoretical – Actual │ x 100 Theoretical Comment on precision & accuracy. <10% error is awesome <20% is still good! < 30% is okay…
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Part B] Simple Distillation Be sure to note difference between silver nitrate test on original sample & on distillate (also if results were not good; suggest why?) Positive test for chloride ion is the precipitate silver chloride Write double replacement equation: Silver nitrate solution added to aqueous sodium chloride results in a precipitate of silver chloride and aqueous spectator ions of sodium nitrate.
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Part C] Fractional Distillation Be sure to name type of soda used, density of distillate Calculate % distillate of original sample If density is ≈ 1.00 g/mL; then how much of your soda is water? Look for theoretical value… Comment on smell of ester; results of limewater test (if results were not good; suggest why?)
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Conclusion Now you have been officially initiated into AP Chemistry…. WELCOME!! You can separate by parts if it helps. Accuracy, Precision when applicable % error, sources of error Apply to 1 real life use
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Advice from past students
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Joe Hur 2011@ UC Berkeley Your class definitely prepared me for Chem 1A and Chem 1AL (your labs are so helpful! your labs prepared me well!) and I thank you so much for the all effort you put into AP chemistry.
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Justin Kong @ Berkeley 9/20/08 Hi Mrs. Brunet! Well, I'm just writing to tell you that I realized what a great AP Chem teacher you are. Not that I thought you weren't or anything but after going to my chemistry lectures and stuff, I realized that I actually knew more than I thought. Oh yea... I guess I should also tell you that I have to use the lab notebook thing you made us do the first semester. I have to do exact same thing... Write the purpose and all the data and stuff. All the memories just came screaming back to me. Anyways I hope you don't have too many brats in your class this year. Take care!
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Esther KJ Lee @ usc 9/11/08 Hi Mrs. Brunet, Do you remember me? i am Esther from last year's ap chem class. Guess What? I am taking general chemistry and the teacher is teaching in a very slow pace. I feel like i know a lot even though I felt lost last year. Right now we are using the Zumdahl new edition and I have my first test on chapters 1-3 on the 17th. I'm worried, but I feel like you have prepared me well. Hopefully, I will do well in this class. Oh by the way, I was not there on the last day of school, so I couldn't get my portfolio back. I think it would be a good resource for me. I will not be able to come get it during a school day so I was wondering if you can give it to Janet Sim so I can get it from her on a weekend. Thank You. I will come visit you but the earliest would be my winter break. I miss you. -Esther from class of 08 =]
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Monica Kim @ usc 12/1/07 Mrs. Brunet, Hi! This is Monica from AP Chem two years ago? I hope you remember me =] I couldn't get around to visit Cypress High because my schedule didn't work out well, so I wanted to say hi. I am at USC and still taking general chemistry. (The stuff is mostly review from AP Chem, so that gives me a little bit of break =] ) I wanted to thank you so much for making us go through all the lab reports and lab notebooks. It's making my college chem a lot easier =] haha... How are you doing? How are your new classes? =D Monica Kim Regards, Nokyeong Monica Kim nokyeong.kim@usc.edu nokyeong.kim@usc.edu
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Huy Tran, 3/9/10 Hi Mrs. Brunet How are you Mrs. Brunet, it has been nearly a year since I last went to your class. I just want to let you know that you said on the first day I attended your class was true. I did not get a good grade but I learned a lot in that year and I thank you very much. I am taking a Chemistry class in college right now and I am more confident in doing lab and tests than any other fellow students. To be honest, at first I did not think that you are a good teacher because I did not know what you were talking about in class, I just do tests and maybe homework haha.Now that I realized the real reason was that I fell asleep every single day, except for lab time. Anyway there is one thing I learned from college and I just wonder if you knew it already or not. You told us when an aqueous solution is written in ionic equation, we don't have to put "(aq)". I just learned that it is wrong to do so because ions can be gas, liquid or solid so it is required to write (aq) behind the ions. Well, that's all I wanted to say. I hope you will become even greater teacher Mrs. Brunet and, again, thank you very much. Wish you well Huy
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Becca @ BYU Mrs Brunet, We're using the same textbook. except its the 11th edition, which really can't be all that different right? my college class is using the same textbook!!! its gonna be so much harder though. its a really regimented course...so i REALLY have to stay on top of things, which, as you know, was never my strong point. lecture every MWF, peer mentor classes TTh. i should be amply prepared, though, right? haha. of course! YOU were my teacher! thanks for everything! Becca
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