What is Avogadro’s Number Avogadro’s Number is the number of “things” in 1 mole 6.022 X 1023 Calculating Molar Mass Molar mass is the mass of 1 mole of a compound. Calculate the molar mass of magnesium carbonate. MgCO3 24.31 g + 12.01 g + 3(16.00 g) = 84.32 g/mol Practice • • • • Al2S3 NaNO3 Ba(OH)2 Ba(NO3)2 150.17 g/mol 85.00 g/mol 171.35 g/mol 261.35 g/mol Gram/Mole Conversions Molar masses are used as conversion factors. MgCO3 = 84.32 g/mol 84.32 g 1 mol or 1 mol 84.32 g Conversion factors Mole to Mass Conversions How many grams are in 2.36 mol of MgCO3? More Practice! What is the mass of 1.36 mol of H2O? What is the mass of 4.36 mol of Ba(OH)2? Mass to Mole Conversions How many moles are in 0.37 g of MgCO3? More Practice! How many moles are in 4.50 g of H2O? How many moles are in 471.6 g of Ba(OH)2? Pause for a Cause #8 Calculate the number of moles in each of the following masses: a. 45.0 grams of acetic acid CH3COOH b. 7.04 grams of lead II nitrate Pb(NO3)2 c. 5000 kg of iron III oxide Fe2O3 Calculate the mass of each of the following amounts: a. 3.00 mol of selenium oxybromide SeOBr2 b. 488 mol of calcium carbonate CaCO3 c. 0.0091 mol of retonic acid C20H28O2 Pause for a Cause #8 a. 45.0 grams of acetic acid (CH3COOH) 0.749 mol (CH3COOH) b. 7.04 grams of lead II nitrate Pb(NO3)2 0.0213 mol (Pb(NO3)2 c. 5000 kg of iron III oxide (Fe2O3) 3 .14 X 104 mol (Fe2O3) a. 3.00 mol of selenium oxybromide (SeOBr2) 764.88g (SeOBr2) b. 488 mol of calcium carbonate (CaCO3) c. 0.0091 mol of retonic acid (C20H28O2) 4.88 X 104 g (CaCO3) 2.73g (C20H28O2) 1 mole = molar mass in grams = 6.022 X1023 molecules Calculate the number of molecules/ formula units a. 4.27 moles of tungsten oxide (WO3) b. 0.003 00 moles of strontium nitrate Sr(NO3)2 Calculate the number of molecules/ formula units a. 285 grams of iron III phosphate Fe(PO4)3 b. 0.0084 grams of C5H5N Calculate the mass of each of the following quantities a. 8.39 X 1023 molecules of F2 (fluorine) b. 6.82 X 1024 formula units of beryllium sulfate BeSO4 Pause for a Cause #8 Calculate the number of molecules/ formula units a. 4.27 moles of tungsten oxide (WO3) 2.57 X 1024 Molecules b. 0.003 00 moles of strontium nitrate Sr(NO3)2 1.81 X 1021 Molecules Calculate the number of molecules/ formula units 5.04 X 1023 Molecules a. 285 grams of iron III phosphate Fe(PO4)3 6.4 X 1019 Molecules b. 0.0084 grams of C5H5N Calculate the mass of each of the following quantities a. 8.39 X 1023 molecules of F2 (fluorine) 52.9g F2 b. 6.82 X 1024 formula units of beryllium sulfate BeSO4 1.19 X 103 Molecules What is the mass of 6.022 X 1024 molecules of Iron III Oxide What is the mass of 6.022 X 1023 atoms of Iron Oxide 6.022 X 1024 atoms Fe2O3 * ____1 mole____ * 159g Fe2O3 = 1590g Fe2O3 6.022 X 1023 atoms 1 mole Calculating Percentage Composition Page 241 Calculating Percentage Composition Calculate the percentage composition of barium sulfate. Step 1: Determine the molar mass. Step 2: Divide the mass of the element in the compound by the molar mass, then multiply by 100%. Page 241 Let’s Practice! #10 • Determine the percent composition of NaCl. • Na- 1 x 23.0=23.0g (23.0g/58.5g) x 100 = 39.3% Na Cl- 1 x 35.5=35.5g (35.5g/58.5g) x 100 = 60.7% Cl 23.0g + 35.5g = 58.5 (58.5 is total) • Determine the percent composition of Ba3(PO4)2 Formulas Empirical formula: the lowest whole number ratio of atoms in a compound. (found experimentally by comparing ratio) Molecular formula: the true number of atoms of each element in the formula of a compound. (actual compound) molecular formula = C6H6 empirical formula = CH Khan Academy Video Formulas (continued) Formulas for ionic compounds are ALWAYS empirical (lowest whole number ratio). Examples: NaCl MgCl2 Al2(SO4)3 K2CO3 Formulas (continued) Formulas for molecular compounds MIGHT be empirical (lowest whole number ratio). Molecular: H2O C6H12O6 C12H22O11 Empirical: H2O CH2O C12H22O11 Empirical Formula Determination 1. Base calculation on 100 grams of compound. 2. Determine moles of each element in 100 grams of compound. 3. Divide each value of moles by the smallest of the values. 4. Convert decimals to fractions and determine the least common denominator. C?H?O? Empirical Formula Determination Adipic acid contains 49.32% C, 43.84% O, and 6.85% H by mass. What is the empirical formula of adipic acid? C?O?H? Carbon: 49.32 g C 1 mol C 4.107 mol C 12.01 g C 4.107 mol C 1.50 2.74 mol O 43.84 g O 1 mol O 2.74 mol O 16.00 g O 2.74 mol O 1.00 2.74 mol O Oxygen: Hydrogen 6.85g H 1 mol H 6.78 mol H 1.01 g H Carbon: 1.50 x 2 3 Hydrogen: 2.50 x 2 5 Empirical formula: 6.78 mol H 2.47 2.74 mol O Oxygen: 1.00 x 2 2 C3H5O2 Pause for a Cause #11 A compound is found to contain 36.48% Na, 25.41% S, and 38.11% O. Find its empirical formula. Analysis of a 10.150 g sample of a compound known to contain only phosphorus and oxygen indicates a phosphorus content of 4.433 g. What is the empirical formula of this compound? Finding the Molecular Formula The empirical formula for adipic acid is C3H5O2. The molar mass of adipic acid is 146 g/mol. What is the molecular formula of adipic acid? Step 1: Find the molar mass of the empirical formula. 3(12.01 g) + 5(1.01) + 2(16.00) = 73.08 g Finding the Molecular Formula The empirical formula for adipic acid is C3H5O2. The molar mass of adipic acid is 146 g/mol. What is the molecular formula of adipic acid? Step 2: Divide the molar mass of the compound by the molar mass given by the empirical formula. 3(12.01 g) + 5(1.01) + 2(16.00) = 73.08 g 146 2 73 Finding the Molecular Formula The empirical formula for adipic acid is C3H5O2. The molar mass of adipic acid is 146 g/mol. What is the molecular formula of adipic acid? 3. Multiply the empirical formula by this number to get the molecular formula. 3(12.01 g) + 5(1.01) + 2(16.00) = 73.08 g 146 2 73 (C3H5O2) x 2 = C6H10O4 Pause for a Cause #12 What is the molecular formula of a compound that has an empirical formula of CH2 and a molar mass of 28 g/mol? A compound is 81.06% boron and 18.94% hydrogen. The molar mass was experimentally determined to be 54 g/mol. What is the molecular formula of the compound? The End! End! The End! The End! The End!