Wed | Aug 29, 2007 Chapter 3: Stoichiometry – Focus on Sections 3.2 - 3.9 – Chemical Formulas – Moles and Related Calculations Bring PRS units on Friday, Aug 31 WebAssign HW due Thurs before midnight Week 2 CHEM 1310 - Sections L and M 1 Mole Avogadro’s Number, N0 The number of atoms in exactly 12 grams of 12C. 6.022 x 1023 entities x mol-1 Mole (mol) The amount of a substance containing as many elementary particles as there are in 12 g of 12C. Week 2 CHEM 1310 - Sections L and M 2 1 Counting in Chemistry 1 mole = different masses of elements Week 2 CHEM 1310 - Sections L and M 3 Molar Mass Given: Molecular Formula Find: Molecular Weight (i.e. Molar Mass) Sulfuric Acid: H2 SO4 Solution: (1) Multiply the atomic mass by the # of each atom type (2) Sum the resulting weights H (1.0079 g/mol) x 2 = 2.0158 g/mol S (32.065 g/mol) x 1 = 32.065 g/mol O (15.999 g/mol) x 4 = 63.996 g/mol SUM: 98.077 g/mol Week 2 CHEM 1310 - Sections L and M 4 2 Calculations Given: Moles of an element or compound Find: Weight of element or compound EXAMPLE What is the weight of 0.03 mol of gold? Atomic Mass of Au: 196.97 g/mol 0.03 mol x 196.97 g = 6 g of Au mol Week 2 CHEM 1310 - Sections L and M 5 Calculations Involving Moles Given: Weight of a molecule Find: Number of atoms EXAMPLE How many atoms are contained in 1.5 g of NaOH? FW of NaOH: 40 g/mol 1.5 g x 1 mol 40 g x 6.022 x 1023 atoms 1 mol = 2.3 x 1022 atoms Week 2 CHEM 1310 - Sections L and M 6 3 Chemical Formulas Empirical Formula: a chemical formula of a compound that expresses the relative chemical amounts of its elements in terms of the smallest integers. Molecular Formula: a chemical formula that specifies the actual number of atoms of each element in one molecule. Empirical Formula CH2O Week 2 Molecular Formula C6H12O6 (Glucose) CHEM 1310 - Sections L and M 7 Calculations with Formulas Given: Mass Composition Find: Empirical Formula EXAMPLE A sample of a tin and chlorine compound with a mass of 2.57g was found to contain 1.17 g of tin. What is the compound’s empirical formula Atomic Mass of Tin: 118.710 g/mol Atomic Mass of Chlorine: 35.453 g/mol Week 2 CHEM 1310 - Sections L and M 8 4 Calculations with Formulas Given: Empirical Formula and Molecular Mass Find: Molecular Formula EXAMPLE The empirical formula of squalene is C3H5. Its molar mass is 410.7 g/mol. What is the molecular formula of squalene? Week 2 CHEM 1310 - Sections L and M 9 More Calculations with Moles Given: Amount of a compound Find: Amount of an element in compound Compute the mass (in grams) of lithium in 65.4 g of Li2CO3 (lithium carbonate). Week 2 CHEM 1310 - Sections L and M 10 5 More Complexity… Given: Amount of an element within a compound Find: Amount of a different element in compound EXAMPLE Chlorophyll, the green pigment in plants, has the formula C55H72MgN4O5 If 0.0011g of Mg is available to a plant cell for chlorophyll synthesis, how many grams of carbon will be required to completely use up the magnesium? Week 2 CHEM 1310 - Sections L and M 11 Density & MW Given: Density and Molecular Weight Find: Molar Concentration (mol/L) Density of NaCl: 2.16 g/cm3 FW of NaCl: 58.443 g/mol cm3 = mL = 1 x 10-3 L 1 mol 58.443 g x 2.16 g mL x 1000 mL L = 36.96 M NaCl Week 2 CHEM 1310 - Sections L and M 12 6 Dilutions, Proportions M1 x V1 = M2 x V2 What volume of 0.1M NaCl is needed to make 0.2 L of 10 mM NaCl? (0.1M) x V1 = (10 x 10-3M) x (0.2L) V1 = 0.02L or 20 mL Remember this! Week 2 CHEM 1310 - Sections L and M 13 On Friday Complete Chapter 3 – Chemical Equations – How to balance chemical equations – Calculations involving reactants and products Week 2 CHEM 1310 - Sections L and M 14 7