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Bell Ringer What is a Mole? What is the mass of a NaCl molecule?
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Chapter 7.1b Molar Mass
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Common counting units:
shoes by the pair (pair = 2) eggs by the dozen (dozen = 12) paper by the ream (ream = 500 sheets).
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Counting With Moles Chemical reactions usually involve very large numbers of tiny particles We use a counting unit called the mole to measure amounts of a substance. Mole (mol) = amount of any substance that contains approximately 6.02 × 1023 particles. This amount is known as Avogadro’s number. Ex: 1 mole of iron = 6.02 × 1023 atoms of iron.
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Molar Mass: mass of one mole of a substance
same as atomic mass, in grams. Examples: Carbon: Atomic mass = 12.0 amu Molar mass = 12.0 grams. Sulfur: Atomic mass = 32.1 amu Molar mass = 32.1 grams.
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Counting With Moles Molar Mass of a compound =
sum of atomic masses of all its atoms, expressed in grams. Tells us the total grams in one mole of the compound Example: Carbon dioxide (CO2) 1 carbon atom = 12.0 amu 2 oxygen atoms = (2 × 16.0 amu) = 32.0 amu CO2 atomic mass = ( ) = 44.0 amu CO2 molar mass = 44.0 grams 44.0g CO2 in 1 mol CO2
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Mole-Mass Conversions
Knowing the molar mass of a substance lets you easily convert between moles and mass “converting” means you can calculate one from the other Example: Molar mass of CO2 is 44.0 grams 1.0 mole of CO2 = 44.0 grams Conversion factors OR
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Converting Example: Chocolate Cake Recipe
Recipe calls for 4 eggs per cake and you plan to make 3 cakes. Eggs can only be bought by the dozen (i.e. groups of 12). How may dozen eggs do you need to buy? Conversion factors: 4 eggs 1 cake cake 4 eggs 12 eggs 1 doz. eggs doz. eggs 12 eggs Calc: 3 cakes x 4 eggs x 1 doz eggs = 1 doz eggs 1 cake eggs
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Counting With Moles You have 55.0 grams of CO2. How many moles?
To calculate how many moles of CO2 you have, multiply the mass by a conversion factor. You can check your answer.
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Chemical Calculations
In chemical reactions, the mass of a reactant or product can be calculated. Use a balanced chemical equation and the molar masses of the reactants and products.
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Chemical Calculations
In a balanced chemical equation, the number of atoms of each element on the left equals the number of atoms of each element on the right.
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Chemical Calculations
The Coefficient tells us the # of moles of each reactant and product involved the reaction
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Chemical Calculations
Molar Mass = the # of grams per mole of each reactant and product
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Chemical Calculations
Mass (of a reactant or product) = the # of moles in the balanced equation (Coefficient) x the molar mass.
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Chemical Calculations - Stoichiometry
Converting Mass to Moles To calculate how much oxygen is required to make 144 grams of water, begin with a balanced chemical equation for the reaction. 2H2 + O2 2H2O Determine how many moles of water you are trying to make. Convert the given mass (144g) of water into moles.
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Chemical Calculations
Using Mole Ratios Write the conversion factors, or mole ratios. 2H2 + O2 2H2O Calculate how many moles of oxygen are required to produce eight moles of water.
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Chemical Calculations
Converting Moles to Mass Convert moles of O2 to grams of O2 by using the molar mass of O2 as a conversion factor. To produce 144 grams of H2O, you must supply 128 grams of O2.
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Assessment Questions Which of the following is a balanced chemical equation for the reaction of aluminum and ammonium perchlorate? Al + NH4ClO4 —› Al2O3 + NH4Cl 4Al + 3NH4ClO4 —› 4Al2O3 + 3NH4Cl 8Al + NH4ClO4 —› 4Al2O3 + NH4Cl 8Al + 3NH4ClO4 —› 4Al2O3 + 3NH4Cl
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Assessment Questions Which of the following is a balanced chemical equation for the reaction of aluminum and ammonium perchlorate? Al + NH4ClO4 —› Al2O3 + NH4Cl 4Al + 3NH4ClO4 —› 4Al2O3 + 3NH4Cl 8Al + NH4ClO4 —› 4Al2O3 + NH4Cl 8Al + 3NH4ClO4 —› 4Al2O3 + 3NH4Cl ANS: D
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Assessment Questions How many moles of NaCl (molar mass = 58.5) are there in a 5.85-gram sample? 58.5 mol 5.85 mol 0.10 mol 0.28 mol
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Assessment Questions How many moles of NaCl (molar mass = 58.5) are there in a 5.85-gram sample? 58.5 mol 5.85 mol 0.10 mol 0.28 mol ANS: C
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Assessment Questions In the reaction shown below, how many grams of hydrogen are produced when 10 moles of potassium react with water? 2K + 2H2O —› 2KOH + H2 2.5 g 5 g 10 g 20 g
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Assessment Questions In the reaction shown below, how many grams of hydrogen are produced when 10 moles of potassium react with water? 2K + 2H2O —› 2KOH + H2 2.5 g 5 g 10 g 20 g ANS: C
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Assessment Questions In the chemical equation below, the reactants are carbon dioxide and water. CH4 + 2O2 —› CO2 +2H2O True <or> False? ANS: False, products
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