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Chemical Reactions and Quantities. The Mole Calculations Using Molar Mass. Collection Terms. 1 trio = 3 singers 1 six-pack Cola = 6 cans Cola drink 1 dozen donuts = 12 donuts 1 gross of pencils = 144 pencils. A Mole of Particles. Contains 6.02 x 10 23 particles
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Chemical Reactions and Quantities The Mole Calculations Using Molar Mass Timberlake LecturePLUS
Collection Terms 1 trio = 3 singers 1 six-pack Cola = 6 cans Cola drink 1 dozen donuts = 12 donuts 1 gross of pencils = 144 pencils Timberlake LecturePLUS
A Mole of Particles Contains 6.02 x 1023particles 1 mole C = 6.02 x 1023 C atoms 1 mole H2O = 6.02 x 1023 H2O molecules 1 mole NaCl = 6.02 x 1023 Na+ ions and 6.02 x 1023 Cl– ions Timberlake LecturePLUS
More Examples of Moles Moles of elements 1 mole Mg = 6.02 x 1023 Mg atoms 1 mole Au = 6.02 x 1023 Au atoms Moles of compounds 1 mole NH3 = 6.02 x 1023 NH3 molecules 1 mole C9H8O4 = 6.02 x 1023aspirin molecules Timberlake LecturePLUS
Avogadro's Number 6.02 x 1023 particles 1 mole or 1 mole 6.02 x 1023 particles Timberlake LecturePLUS
Learning Check M1 Suppose we invented a new collection unit called a mep. One mep contains 8 objects. A. How many paper clips in 1 mep? 1) 1 2) 4 3) 8 B. How many oranges in 2.0 meps? 1) 4 2) 8 3) 16 C. How many meps contain 40 gummy bears? 1) 5 2) 10 3) 20 Timberlake LecturePLUS
Solution M1 Suppose we invented a new collection unit called a mep. One mep contains 8 objects. A. How many paper clips in 1 mep? 3) 8 B. How many oranges in 2.0 meps? 3) 16 C. How many meps contain 40 gummy bears? 1) 5 Timberlake LecturePLUS
Learning Check M2 1. Number of atoms in 0.500 mole of Al 1) 500 Al atoms 2) 6.02 x 1023 Al atoms 3) 3.01 x 1023 Alatoms 2.Number of moles of S in 1.8 x 1024 S atoms 1) 1.0 mole S atoms 2) 3.0 mole S atoms 3) 1.1 x 1048 mole S atoms Timberlake LecturePLUS
Solution M2 1. Number of atoms in 0.500 mol of Al 3) 3.01 x 1023 Alatoms 2. Number of moles of S if a sample of S contains 4.50 x 1024 S atoms 2) 3.0 mole S atoms Timberlake LecturePLUS
Molar Mass • Number of grams in 1 mole • Equal to the numerical value of the atomic mass 1 mole of C atoms = 12.0 g 1 mole of Mg atoms = 24.3 g 1 mole of Cu atoms = 63.5 g Timberlake LecturePLUS
Learning Check M3 Give the molar mass to 0.1 g A. 1 mole of Br atoms = ________ B. 1 mole of Sn atoms = ________ Timberlake LecturePLUS
Solution M3 Give the molar mass to 0.1 g A. 1 mole of Br atoms = 79.9 g/mole B. 1 mole of Sn atoms = 118.7 g/mole Timberlake LecturePLUS
Molar Mass of Compounds Mass in grams of 1 mole equal numerically to the sum of the atomic masses 1 mole of CaCl2 = 111.1 g/mole 1 mole Ca x 40.1 g/mole + 2 moles Cl x 35.5 g/mole 1 mole of N2O4 = 74.0 g/mole 2 moles N x 14.0 g/mole + 4 moles O x 16.0 g/mole Timberlake LecturePLUS
Learning Check M4 A. 1 mole of K2O = ______g B. 1 mole of antacid Al(OH)3 = ______g Timberlake LecturePLUS
Solution M4 A. 1 mole of K2O = 94.2 g 2 K x 39.1 g/mole + 1 O x 16.0 g/mole B. 1 mole of antacid Al(OH)3 = 78.0 g 1 Al x 27.0 g/mole + 3 O x 16.0 g/mole + 3 x 1.0 Timberlake LecturePLUS
Learning Check M5 Prozac, C17H18F3NO, is a widely used antidepressant that inhibits the uptake of serotonin by the brain. It has a molar mass of 1) 40.0 g/mole 2) 262 g/mole 3) 309 g/mole Timberlake LecturePLUS
Solution M5 Prozac, C17H18F3NO, is a widely used antidepressant that inhibits the uptake of serotonin by the brain. It has a molar mass of 3) 309 g/mole 17C (12.0) + 18H (1.0) + 3F (19.0) + 1N (14.0) + 1 O (16.0) Timberlake LecturePLUS
Learning Check M6 What is the percent carbon in C5H8NO4 (MSG monosodium glutamate), a compound used to flavor foods and tenderize meats? 1) 8.22 %C 2) 24.3 %C 3) 41.1 %C Timberlake LecturePLUS
Solution M6 Molar mass = 146.0 g/mole % = total g C x 100 total g compound = 60.0 g C x 100 = 41.1% C 146.0 g MSG Timberlake LecturePLUS
Molar Mass Factors for CH4 Methane CH4 known as natural gas is used in gas cook tops and gas heaters. Express the molar mass of methane in the form of conversion factors. Molar mass of CH4 = 16.0 g 16.0 g CH4 and 1 mole CH4 1 mole CH4 16.0 g CH4 Timberlake LecturePLUS
Learning Check M7 Acetic acid CH3COOH is the acid in vinegar . It has a molar mass of 60.0 g/mole. 1 mole of acetic acid = ____________ 1 mole acetic acid or g acetic acid g acetic acid 1 mole acetic acid Timberlake LecturePLUS
Solution M7 Acetic acid CH3COOH is the acid in vinegar . It has a molar mass of 60.0 g/mole. 1 mole of acetic acid = 60.0 g 1 mole acetic acid or 60.0 g acetic acid 60.0 g acetic acid 1 mole acetic acid Timberlake LecturePLUS
Calculations with Molar Mass molar mass Grams Moles Timberlake LecturePLUS
Moles and Grams Aluminum is often used for the structure of light-weight bicycle frames. How many grams of Al are in 3.00 moles of Al? 3.00 moles Al ? g Al Timberlake LecturePLUS
1. Molar mass of Al 1 mole Al = 27.0 g Al 2. Conversion factors for Al 27.0g Al or 1 mol Al 1 mol Al 27.0 g Al 3. Setup 3.00 moles Al x 27.0 g Al 1 mole Al Answer = 81.0 g Al Timberlake LecturePLUS
Learning Check M9 The artificial sweetener aspartame (Nutri-Sweet) formula C14H18N2O5 is used to sweeten diet foods, coffee and soft drinks. How many moles of aspartame are present in 225 g of aspartame? Timberlake LecturePLUS
Solution M9 1. Molar mass of Aspartame C14H18N2O5 (14 x 12.0) + (18 x 1.01) + (2 x 14.0) + (5 x 16.0) = 294 g/mole 2. Setup 225 g aspartame x 1 mole aspartame 294 g aspartame = 0.765 mole aspartame Timberlake LecturePLUS