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CHAPTER 11 Stoichiometry 11.1 Analyzing a Chemical Reaction
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2 Chemical equations tell stories… 2CO(g) + O 2 (g) → 2CO 2 (g)
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3 11.1 Analyzing a Chemical Reaction Chemical equations tell stories… … and stories can be put into different categories Synthesis / Decomposition Single / Double replacement Precipitate reaction Polymerization reaction 2CO(g) + O 2 (g) → 2CO 2 (g)
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4 11.1 Analyzing a Chemical Reaction Chemical equations tell stories… But what exactly do they tell us? 2CO(g) + O 2 (g) 2CO 2 (g) They tell uswhat compounds we start with: Carbon monoxide (CO) gas Oxygen (O 2 ) gas what compounds are formed: Carbon dioxide (CO 2 ) gas
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5 11.1 Analyzing a Chemical Reaction Chemical equations tell stories… What else do they tell us? 2CO(g) + O 2 (g) 2CO 2 (g)
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6 11.1 Analyzing a Chemical Reaction Chemical equations tell stories… What else do they tell us? 2CO(g) + O 2 (g) 2CO 2 (g) 2 CO molecules2 CO 2 molecules1 O 2 molecules They tell us how much of each compound is involved
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7 11.1 Analyzing a Chemical Reaction Chemical equations tell stories… What else do they tell us? 2CO(g) + O 2 (g) 2CO 2 (g) stoichiometry: the study of the amounts of substances involved in a chemical reaction. 2 CO molecules2 CO 2 molecules1 O 2 molecules They tell us how much of each compound is involved
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8 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 CO molecules 2 dozen CO molecules 1 O 2 molecules 1 dozen O 2 molecules 2 CO 2 molecules 2 dozen CO 2 molecules
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9 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 CO molecules 2 dozen CO molecules 2 moles CO molecules 1 O 2 molecules 1 dozen O 2 molecules 1 mole O 2 molecules 2 CO 2 molecules 2 dozen CO 2 molecules 2 moles CO 2 molecules
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10 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 CO molecules 2 dozen CO molecules 2 moles CO molecules 2 x (6.023 x 10 23 ) CO molecules 1 O 2 molecules 1 dozen O 2 molecules 1 mole O 2 molecules (1 x) 6.023 x 10 23 O 2 molecules 2 CO 2 molecules 2 dozen CO 2 molecules 2 moles CO 2 molecules 2 x (6.023 x 10 23 ) CO 2 molecules
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11 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 moles CO molecules 1 mole O 2 molecules 2 moles CO 2 molecules Number of moles is not conserved Is that okay? ≠ +
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12 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 moles CO molecules 1 mole O 2 molecules 2 moles CO 2 molecules Number of moles is not conserved Is that okay? Yes, as long as the chemical equation is balanced! ≠ +
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13 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 C atoms 2 O atoms 2 C atoms 4 O atoms Number of atoms is conserved This chemical equation is balanced = =+
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14 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 moles CO molecules 1 mole O 2 molecules 2 moles CO 2 molecules This chemical equation is balanced The coefficients are correct Coefficients
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15 11.1 Analyzing a Chemical Reaction 2CO(g) + O 2 (g) 2CO 2 (g) 2 moles CO molecules 1 mole O 2 molecules 2 moles CO 2 molecules This chemical equation is balanced The coefficients are correct Coefficients These are important!
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16 11.1 Analyzing a Chemical Reaction Coefficients are important 1 bag cake mix + 3 eggs + ¼ cup oil + 1 cup water 1 batch cupcakes
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17 11.1 Analyzing a Chemical Reaction Coefficients are important + 3 eggs + ¼ cup oil + 1 cup water 1 batch cupcakes 1 bag cake mix I need ¼ cup of oil to make 1 batch of cupcakes
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18 11.1 Analyzing a Chemical Reaction Coefficients are important + 3 eggs + ¼ cup oil + 1 cup water 1 batch cupcakes 1 bag cake mix Write as a ratio:
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19 11.1 Analyzing a Chemical Reaction Coefficients are important + 3 eggs + ¼ cup oil + 1 cup water 1 batch cupcakes 1 bag cake mix I need 1 cup of oil to make 4 batches of cupcakes
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20 11.1 Analyzing a Chemical Reaction Write as a ratio: Coefficients are important + 3 eggs + ¼ cup oil + 1 cup water 1 batch cupcakes 1 bag cake mix
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21 11.1 Analyzing a Chemical Reaction Coefficients are important C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide
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22 11.1 Analyzing a Chemical Reaction Coefficients are important C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide 1 moles 3 moles glucose will yield 2 moles 6 moles ethanol/ carbon dioxide x 3
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23 11.1 Analyzing a Chemical Reaction Coefficients are important C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide 1 moles 3 moles 7.5 moles glucose will yield 2 moles 6 moles 15 moles ethanol/ carbon dioxide x 7.5 x 3
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24 11.1 Analyzing a Chemical Reaction Coefficients are important C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide 7.5C 6 H 12 O 6 (aq) 15C 2 H 5 OH(aq) + 15CO 2 (g) 7.5 moles glucose 15 moles ethanol 15 moles carbon dioxide You MUST multiply all the coefficients by the same number
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25 11.1 Analyzing a Chemical Reaction C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide Write as a ratio: These are stoichiometric equivalents
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26 11.1 Analyzing a Chemical Reaction C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide Write as a ratio: mole ratio: a ratio comparison between substances in a balanced equation. It is obtained from the coefficients in the balanced equation.
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27 11.1 Analyzing a Chemical Reaction C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) Fermentation of sugar (glucose) into alcohol: 1 mole glucose 2 moles ethanol 2 moles carbon dioxide mole ratios for this chemical equation Mole ratios
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28 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: Compare the reactant CO to the product CH 3 OH. carbon monoxide hydrogenmethanol
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29 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol Compare the reactant CO to the product CH 3 OH.
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30 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed?
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31 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed? Asked: moles of H 2 Given: moles of CH 3 OH
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32 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed? Asked: moles of H 2 Given: moles of CH 3 OH Write the mole ratio between H 2 and CH 3 OH Write moles of H 2 (asked) “on top”
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33 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed? “on top” Asked: moles of H 2 Write the mole ratio between H 2 and CH 3 OH Write moles of H 2 (asked) “on top”
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34 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed? Given: moles of CH 3 OH
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35 11.1 Analyzing a Chemical Reaction CO(g) + 2H 2 (g) CH 3 OH(l) Mole ratios Consider the following equation: carbon monoxide hydrogenmethanol If the reaction produces 5 moles of CH 3 OH, how many moles of H 2 are consumed? Asked: moles of H 2
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36 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal?
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37 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2
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38 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2 Write the mole ratio between AlCl 3 and Cl 3 Write moles of AlCl 3 (asked) “on top”
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39 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2 “on top” Write the mole ratio between AlCl 3 and Cl 3 Write moles of AlCl 3 (asked) “on top”
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40 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2
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41 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2 units cancel out
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42 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2 units cancel out
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43 11.1 Analyzing a Chemical Reaction A mixture of aluminum metal and chlorine gas reacts to form aluminum chloride (AlCl 3 ): 2Al(s) + 3Cl 2 (g) → 2AlCl 3 (s). How many moles of aluminum chloride will form when 5 moles of chlorine gas react with excess aluminum metal? Asked: moles AlCl 3 Given: moles Cl 2 Answer: 3.3 moles of AlCl 3 are produced.
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44 11.1 Analyzing a Chemical Reaction There is no scale that measures in moles! How do you convert from moles to grams? The mass of 1 mole of Al is not the same as the mass of 1 mole of Cl 2. How do you convert from grams of Al to grams of Cl 2 ?
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45 11.1 Analyzing a Chemical Reaction There is no scale that measures in moles! How do you convert from moles to grams? The mass of 1 mole of Al is not the same as the mass of 1 mole of Cl 2. How do you convert from grams of Al to grams of Cl 2 ? By using the molar mass (g/mole) By using the molar mass (g/mole) and mole ratios
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46 11.1 Analyzing a Chemical Reaction Process for calculating grams from grams given
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47 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Calcium carbonate (CaCO 3 ) is present in rocks, eggshells and most seashells. CaCO 3 decomposes when it is heated.
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48 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios molar mass of CaCO 3 = 40.078 + 12.011 + (15.999 x 3) = 100.0 g/mole molar mass of CO 2 = 12.011 + (15.999 x 2) = 44.01 g/mole Strategy:
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49 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 45.0 g CaCO 3
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50 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 45.0 g CaCO 3 0.45 moles CaCO 3
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51 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 0.45 moles CaCO 3
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52 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 0.45 moles CaCO 3 0.45 moles CO 2
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53 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 0.45 moles CO 2
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54 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 0.45 moles CO 2 19.8 g CO 2
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55 11.1 Analyzing a Chemical Reaction If 45.0 g of calcium carbonate (CaCO 3 ) decomposes in the reaction CaCO 3 (s) → CaO(s) + CO 2 (g), how many grams of CO 2 are produced? Asked: grams of CO 2 Given: grams of CaCO 3 Relationships: mole ratios, molar mass of CaCO 3 = 100.0 g/mole molar mass of CO 2 = 44.01 g/mole 0.45 moles CO 2 19.8 g CO 2 45 g CaCO 3 0.45 moles CaCO 3 Answer: 19.8 g of CO 2 are produced.
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56 11.1 Analyzing a Chemical Reaction C 6 H 12 O 6 (aq) 2C 2 H 5 OH(aq) + 2CO 2 (g) 1 mole glucose 2 moles ethanol 2 moles carbon dioxide These are stoichiometric equivalents Mole ratios:
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