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Chemical Quantities. 9.1: Information Given by Chemical Equations. Chemical Equations. are representations of a chemical change, in which atoms are rearranged. must be BALANCED to be useful. Balanced equations provide the relationship between the relative numbers of molecules. Example.
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Chemical Quantities 9.1: Information Given by Chemical Equations
Chemical Equations • are representations of a chemical change, in which atoms are rearranged. • must be BALANCED to be useful. • Balanced equations provide the relationship between the relative numbers of molecules.
Example • CO (g) + H2 (g) → CH3OH (l) Unbalanced • CO (g) +2H2 (g) → CH3OH (l) Balanced • Relative numbers 1:2:1 • 1 molecule of CO + 2 molecules of H2 yields 1 molecule of CH3OH • 1 mole of CO + 2 moles of H2 yields 1 mole of CH3OH
CO (g) +2H2 (g) → CH3OH (l) • If you need 10 moles of CH3OH, how many moles of CO and H2 must react? • Relative numbers 1:2:1 • Increased from 1 to 10, so 10(1:2:1)=10:20:10 • Answer: 10 moles of CO and 20 moles of H2
Mole–Mole Relationships • Remember only moles of elements or compounds can be compared, not grams. • Grams are used for measuring. • In order to compare moles in Unit Analysis, the mole ratio is used.
What number of moles of oxygen gas is required to react with 7.4 moles of methane? Step 1: Balance Equation CH4 + O2 → CO2 + H2O __ x 4 H __ x 2 __ x 2 O __ x 2 +__ x 1 __ x 1 C __ x 1 CH4 + 2O2 → CO2 + 2H2O
What number of moles of oxygen gas is required to react with 7.4 moles of methane? • Step 1: CH4 + 2O2 → CO2 + 2H2O • Step 2: Given/Goal • 7.4 moles of CH4 • Moles of O2 • Step 3: Know/Acquire • From Balanced Equation: 1mole CH4 = 2mole of O2
What number of moles of oxygen gas is required to react with 7.4 moles of methane? • Step 1: Balance, Step 2: Given/Goal • Step 4: Unit Analysis • Step 3: Know/Acquire • From Balanced Equation: 1mole CH4 = 2mole of O2
How many moles of carbon dioxide gas will be produced by reacting 2.6 moles of oxygen with excess methane? • Step 1: CH4 + 2O2 → CO2 + 2H2O • Step 2: Given/Goal • Step 4: Unit Analysis • Step 3: Know/Acquire • From Equation:
How many moles of carbon dioxide gas will be produced by reacting 2.6 moles of oxygen with excess methane? • Step 1: CH4 + 2O2 → CO2 + 2H2O • Step 2: Given/Goal • 2.6 mol O2 • Mol CO2 • Step 4: Unit Analysis • Step 3: Know/Acquire • From Equation: • 2 mol O2 = 1mol CO2
Chemical Quantities 9.3: Mass Calculations
Mole–Mole Relationships • Recall: • ONLY moles can be compared through mole ratio from the balanced equation. • Mass (grams) is used to count by weighing.
What mass of oxygen will be required to react exactly with 96.1g of propane? • C3H8 (g) + O2 → CO2 + H2O (unbalanced) • Step 1: BALANCE equation • C3H8 (g) + 5O2 → 3CO2 + 4H2O • Relative numbers: 1:5:3:4
What mass of oxygen will be required to react exactly with 96.1g of propane? • Step 1: C3H8 (g) + 5O2 → 3CO2 + 4H2O • Step 2: Given/Goal • 96.1g C3H8 • Mass of oxygen (grams) • Step 3: Know/Acquire • From Periodic Table: • 1mole of O2 = 32.00grams • 1mole of C3H8 = 44.09grams • From Balanced Equation: 1mole C3H8 = 5mole of O2 ?mole C3H8 = ?mole of O2
What mass of oxygen will be required to react exactly with 96.1g of propane? • Step 1: C3H8 (g) + 5O2 → 3CO2 + 4H2O • Step 3: Know/Acquire • 1mol O2 = 32.00g O2, 1mol C3H8 = 44.09g C3H8, 1mol C3H8 = 5mol O2 • Step 4: Unit Analysis
Calculate the mass of carbon dioxide gas that is required to react with a solution containing 10.0 grams of sodium hydroxide. • NaOH(aq) + CO2(g) → Na2CO3(g) + H2O (l)
Calculate the mass of carbon dioxide gas that is required to react with a solution containing 10.0 grams of sodium hydroxide. • Step 1:2NaOH(aq) + CO2(g) → Na2CO3(g) + H2O (l) • Step 2: Given/Goal • Step 3: Know/Acquire • From Periodic Table • From Balanced Equation • Step 4: Unit Analysis
Calculate the mass of carbon dioxide gas that is required to react with a solution containing 10.0 grams of sodium hydroxide. • Step 1:2NaOH(aq) + CO2(g) → Na2CO3(g) + H2O (l) • Step 4: Unit Analysis • Step 2: Given/Goal • Step 3: Know/Acquire Periodic Table 1mol CO2= 44.0g 1mol NaOH=40.0g Balanced equation 2mol NaOH=1mol CO2