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Chapter 4. Recycling and Chemical Mathematics. Nature’s Recycling – The carbon cycle. Chemical Equations. Chemical reaction: the reorganization of the atoms in one or more substances to form a different substance(s). A chemical equation for respiration:
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Chapter 4 Recycling and Chemical Mathematics
Chemical Equations Chemical reaction: the reorganization of the atoms in one or more substances to form a different substance(s). A chemical equation for respiration: C6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l) What does this equation mean?
What does this equation mean? C6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l) “One molecule of glucose solid reacts with six molecules of oxygen gas to give (or produce) six molecules of carbon dioxide gas and six molecules of water.”
Example:Recognizing Balanced Equations Is the following equation balanced? CaCl2 + 2Na3PO4→ Ca3(PO4)2 + 3NaCl
Solution:Recognizing Balanced Equations This is the balanced chemical equation. 3CaCl2 + 2Na3PO4→ Ca3(PO4)2 + 6NaCl
Producing Aluminum via the Hall-Heroult Process 2Al2O3(l) + 3C(s) → 4Al(l) + 3CO2(g)
Example: Atomic Masses The mass of an atom is the weighted average of its naturally-occurring isotopes. Gallium has 2 isotopes, 60.10% 69Ga (= 68.93 amu) and 39.90% 71Ga (= 70.92 amu). What is the average atomic mass of Ga?
Solution: Atomic Masses 60.10% 69Ga (= 68.93 amu) and 39.90% 71Ga (= 70.92 amu). What is the average atomic mass of Ga? (0.6010 x 68.93) + (0.3990 x 70.92) = contribution of 69Ga isotope contribution of 71Ga isotope 69.72 amu
Formula Masses The sum of the atomic masses of all the atoms in the formula. H2O = 2 x 1.008 + 1 x 16.00 = 18.02 amu hydrogen oxygen Fe(OH)3 = 1 x 55.847+3 x (16.00 + 1.008) = 106.87 amu iron oxygenhydrogen
Avogadro’s Number • 1 mol of anything = 6.02 x 1023 things • 1 mol of C atoms = 6.02 x 1023 C atoms • 1 mol of Al atoms = 6.02 x 1023 Al atoms • 1 mol of Al2O3 = 6.02 x 1023Al2O3 formula units • 1 mol of frosted flakes = 6.02 x 1023frosted flakes (Yum!)
Conversions: Moles to Grams How many grams of Al2O3 are in 31.27 moles of Al2O3? = 3188 g Al2O3
Conversions: Grams to Moles How many moles of (NH4)2Cr2O7 are in 586.2 grams of (NH4)2Cr2O7? = 2.326 moles of NH4Cr2O7
Using Equations for Stoichiometric Calculations How many moles of iron can be formed from 2.8 moles of iron(III) oxide, Fe2O3? Fe2O3 + 2Al → 2Fe + Al2O3
Solution: Using Equations for Stoichiometric Calculations How many moles of iron can be formed from 2.8 moles of iron(III) oxide, Fe2O3? Fe2O3 + 2Al → 2Fe + Al2O3 = 5.6 moles Fe
Using Equations for Stoichiometric Calculations How many grams of Al2O3 can be formed from 1162 grams of Fe2O3? Fe2O3 + 2Al → 2Fe + Al2O3
Using Equations for Stoichiometric Calculations How many grams of Al2O3 can be formed from 1162 grams of Fe2O3? Fe2O3 + 2Al → 2Fe + Al2O3 Strategy g Fe2O3 →mol Fe2O3 →mol Al2O3→g Al2O3
Solution: Using Equations for Stoichiometric Calculations How many grams of Al2O3 can be formed from 1162 grams of Fe2O3? g Fe2O3 → mol Fe2O3 → mol Al2O3 →g Al2O3 = 741.8 g Al2O3
Using Equations for Stoichiometric Calculations How many grams of CO2 can be formed from 80.7 grams of C6H12O6 in respiration? Assume excess oxygen. C6H12O6 + 6O2 → 6CO2 + 6H2O
Using Equations for Stoichiometric Calculations How many grams of CO2 can be formed from 80.7 grams of C6H12O6 in respiration? Assume excess oxygen. C6H12O6 + 6O2 → 6CO2 + 6H2O Strategy g C6H12O6 → mol C6H12O6 → mol CO2 → g CO2
Solution:Using Equations for Stoichiometric Calculations How many grams of Al2O3 can be formed from 1162 grams of Fe2O3? g C6H12O6 → mol C6H12O6 →mol CO2 →g CO2 = 118 g CO2