It’s a beauty mark… It’s a small furry garden pest… No, wait… its how we count ATOMS! The mass of 1 mole of a substance. Calculate the molar mass Calculate the molar mass of 1 mole of magnesium chloride. (first you need a formula) FORMULAS - review MgCl2 The subscript is the number at the bottom of a formula. There is 1- Mg & 2 - Cl How to calculate molar mass 1. Identify the # of atoms of each element 2. Multiply # atoms by the atomic mass of that element. (round to 2 #’s after the decimal) 3. Add them all together 4. Grams (g) is the unit Molar Mass MgCl2 Mg – 1 (24.31) = 24.31 Cl – 2 (35.45) = 70.90 1 mole MgCl2 = 95.21 g MgCl2 or 95.21 g/mol Molar Mass •Molar mass allows scientist a way to measure moles in a lab. • Molar mass of Fe = • Molar mass of O2 = • Molar mass of Cu(OH)2= Calculate the molar mass: (you MUST write the formula correctly before answering) 1 mole of Ammonium phosphide 1 mole of Trinitrogen pentachloride Percent Composition • The percent BY MASS of each element in a compound – divide the element’s total mass (part) by the molar mass (whole) then multiple by 100 to get the percent. (PART) (WHOLE) •Ex: % composition of MgCl2 (PART) (WHOLE) Mg – 1 (24.31) = 24.31 / 95.21 x 100 = 25.53% Mg Cl – 2 (35.45) = 70.90 / 95.21 x 100 = 74.47% Cl Molar mass = 95.21 g/mol Practice - Calculate the % comp of KMnO4: K – 1 (39.10) = 39.10 / 158.04 x 100 = 24.74% K Mn – 1 (54.94) = 54.94 / 158.04 x 100 = 34.76% Mn O – 4 (16.00) = 64.00 / 158.04 x 100 = 40.50% O molar mass KMnO4 = 158.04 Calculating the amount of an element in a sample 1. Find the % comp of the element in the compound 2. Change the % to a decimal (move decimal 2 times to the left or divide by 100) 3. Multiply that decimal by the amount (g) of the sample. Ex: Calculate amount of chlorine in 203.5 grams of MgCl2. (use the % we found earlier) 74.47% Cl = .7447 x 203.5 = 151.5 grams Cl Practice: Calculate the amount of oxygen in 15.75 grams of water. H – 2(1.01) = 2.02 O – 1(16.00) = 16.00 / 18.02 x100 = 88.79% O Molar mass H2O = 18.02 88.79% O = .8879 x 15.75 = 13.98 grams O Complete % comp worksheet Empirical Formula •The lowest whole number ratio (subscripts) of elements in a compound. •Cannot be reduced!!! not empirical empirical •Ex: C6H12O6 CH2O Molecular Formula • Actual number of atoms in a chemical compound molecular • EX: C12H24O12 • Molecular Formulas can be reduced to Empirical Formulas molecular empirical • EX: C12H24O12 CH2O • Different molecular formulas can have similar empirical formulas • molecular • EX: N3O9 Molecular formula: C76H52O46 empirical N12O36 NO3 Empirical formula: ___________ PRACTICE: 1. Identify each as empirical (can’t be reduced) or molecular (can be reduced) 2. If its molecular – write the empirical CH2 1. C2H4 molecular 2. NO3 empirical 3. S9Cl12 molecular S3Cl4 - empirical 4. C3Cl9 molecular CCl3 - empirical 5. N4S9 empirical - empirical Finding Empirical Formula from Percent Composition • Ex: A compound was found to be 54.53% Carbon, 9.15% Hydrogen, and 36.32% Oxygen. Find its Empirical Formula. Steps: • Assume a 100g sample (change % g) • Use molar mass to find moles of each • Divide all moles by the smallest number of moles • Round each to the nearest whole # (sometimes you have to multiply to get a whole number - special) • The resulting whole #are the subscripts for that element in the empirical formula Calculating Empirical Formula 63.5% Silver 8.2% Nitrogen 28.3% Oxygen 63.5 g Ag 8.2 g N 28.3 g O 107.87 14.01 16.00 .589 mole Ag .589 1 .59 mole N 1.77 mole O .589 .589 1 AgNO3 3 Calculating Empirical Formula (special) 60.00%C 4.48%H 35.53%O 60.00g C 4.48g H 35.53g O 1.01 16.00 12.01 4.996 mole C 2.221 4.44 mole H 2.221 2.221 mole N 2.221 2.249 2 1 x4 x4 x4 8 4 9 C9 H 8O4 Calculating Molecular Formula 1. Find the empirical formula 2. Calculate the molar mass of your empirical formula 3. Identify the molar mass of your molecular (GIVEN in the problem everytime!) 4. Divide the molecular mass / empirical mass 5. Round to the nearest whole # 6. Multiply the whole # by the subscripts in the Empirical formula Practice If a compound has an empirical formula of NO 3 and a molecular mass of 186g – what is the molecular formula? Empirical formula: NO 3 molar mass: 62.01g Molecular mass (given) 186g empirical mass 3 x NO3 62.01 = N 3O 9 What is a mole? • For counting matter (quantity) in chemistry we use the mole • Moles are used to correctly measure chemicals for reactions in a lab. • Problem – no way to “physically” measure a mole. (no lab equipment measures moles) • Solution – molar mass (balance) Using Molar Mass Remember – Molar mass is the mass (grams) of 1 mole 1 mole Fe = _________grams Fe 2.5 mole Fe = ________ grams Fe 113.5 grams Fe = _______ moles Fe Mass to mole = divide by molar mass Mole to mass = moletiply by mole mass Using molar mass How many grams are in 15.7 mole MgCl 2 How many moles are in 0.75 grams of silver? What is the mass of 30.7 mole water? Using molar mass In the lab, Mrs. Mathieson needs 2.57 moles of NaCl to do an experiment. How many grams would be needed to equal 2.57 moles of NaCl? After doing the experiment, Mrs. Mathieson has 1.02 moles of NaCl remaining – how many grams does that equal? What is a mole? •For counting matter (quantity) in chemistry we use the mole •1 mole = 6.02 x 1023 representative particles (particles are very tiny) •This value is called Avogadro’s Number What are REPRESENTATIVE PARTICLES? • ie. the smallest particle that retains chemical and physical properties •3 types depending on the compound: • Atoms: Single element • Molecules: covalent compound • Formula Units: Ionic Compounds or ions Using Avagadro’s Number Remember there are 6.02 x 1023 particles (atoms, molecule, f.u) in 1 mole How many atoms are in 1 mole? How many atoms are in 2.10 moles of Copper? How many moles are in 4.21 x 10 26 atoms of aluminum? What is a mole? •For counting matter (quantity) in chemistry we use the mole •1 mole = 22.4 L of any gas •This value is called Molar Volume Using molar volume How many liters are in 1 mole of any gas? How many liters are in 12.95 L of oxygen gas? How many moles are in 0.758 moles of nitrogen gas?