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Imagine you are baking chocolate chip cookie s What materials do you need?
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If you have all the flour, eggs, sugar, etc you need but only 20 chips, how many cookies will you make?
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In dealing with manufactured goods (paint, soaps, food), the main purpose is to make a profit; any waste will cut profits
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How do the manufacturers know how much to mix & how much they will get?
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By knowing how to write: Balanced Equations They are the “recipes” that tell the amounts to mix & what they will get It allows one to calculate quantities of reactants & products
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Stoichiometry –the calculation of quantities in chemical equations
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STOICHIOMETRIC CALCULATIONS
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Interpreting Equations –Coefficients in a balanced equation shows a relationship between moles of reactants vs. moles of products –Moles can then be converted into grams, r.p., or Liters
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ex. N 2 (g) + 3H 2 (g) -> 2NH 3 (g) –Molecules: 1 + 3 -> 2 –Moles: 1 + 3 -> 2 –Grams: 1(28) + 3(2) -> 2(17) –Volume: 1(22.4) + 3(22.4) -> 2(22.4) (at STP) –R.P.’s: 1(6.02 ) + 3(6.02) -> 2(6.02)
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Mole -> Mole –Coefficients of balanced equations tells the “conversion factor” or mole ratio”
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How many moles of NH 3 are produced when 0.60 mol of N 2 reacts with H 2 ? 1. Write a balanced equation: 2. Determine X & Y: 3. Factor/Calculate:(Start -> Finish)
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Ex. Calculate the # of moles of reactants needed to make 7.24 mol of NH 3 –Answers: 3.62 mol N 2 10.9 mol H 210.9 mol H 2
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Mass -> Mass or Teoretical Yeild –*since we can’t measure moles in a lab, we must be able to measure the reactants or products by their mass from the moles or mass of the other
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Calculate: # of grams of NH 3 produced by the reaction of 5.40 g of H 2 with N 2 1. Write a balanced equation: 2. Determine X & Y: 3. Factor/Calculate:(Start -> Finish) = 30.4 g
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Ex. Calculate the # of grams of reactants needed to produce 30.6 g NH 3 Answer: 25.2 g N 2 5.44 g H 25.44 g H 2
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The quantities calculated in mass-mass problems are theoretical amounts; only the maximum possible yield is calculated. In reality, actual amounts of products are less.
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A comparison of the actual vs. the theoretical is expressed in percent and is called: –PERCENT YIELD
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PERCENT YIELD is calculated as follows: actual amount x 100 theoretical amount (MASS - MASS) (MASS - MASS)
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ex. Oil of wintergreen is made by heating salicylic acid, C 7 H 6 O 3, with methanol, CH 3 OH, by the following equation: C 7 H 6 O 3 +CH 3 OH---> C 8 H 8 O 3 +H 2 O If you start with 1.75 g of salicylic acid, what is the theoretical yield of wintergreen oil? Theoretical Yield = 1.93 g
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If the actual is 1.42 g, what is the percent yield? Percent Yield: 73.6%
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LIMITING REAGENT When following a recipe, sufficient quantities of all ingredients must be present to react.
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Ex. No matter how much P & J you have with 8 slices of bread, you can only make 4 sandwiches.
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A limiting reagent “limits” or determines the amount of product that can be produced in a reaction. In comparison, the excess reagent is more than enough to react with a limiting reagent.
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How to determine the limiting reagent:
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What will occur if 6.70 mol Na reacts with 3.20 mol of Cl 2 ? 1.Write a balanced equation 2. Determine X & Y 3. Calculate needed amount of one reactant from the other (Start -> Finish) 4. Compare the needed with the given 5. LR = Cl 2
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What is the amount of product formed? Calculate: (start -> Finish) (Be sure to use the amount of LR you started with)
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What is the amount of excess left over? Calculate remaining excess reagent: Amount given - amount needed 6.70 - 6.40 =.30 excess Na
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Copper reacts with sulfur to form copper (I) sulfide. What is the maximum number of grams of copper (I) sulfide that can be formed when 80.0 g of copper reacts with 25.0 g of sulfur?
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2Cu + S -> Cu 2 S LR = Cu
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Calculate Maximum Product: Amount LR x Ratio: = 1.00 x 102 g Cu2S
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OTHER FORMULAS Because most reactions occur in solutions, scientists must express the relationship between the solute and the solvent. This expression is called: MOLARITY
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Molarity –the ratio between moles of solute to the volume of solution in dm 3 M = mol solute dm 3 of solution
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Molarity Solving Process: –Convert volume from cm 3 -> dm 3 –Put givens into equation:
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ex. Calculate the molarity of 2.50 x 10 2 cm 3 of solution containing 9.46 g of CsBr. = 0.178 M CsBr
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What if you wanted to make a solution? –use the molarity equation and solve for grams. ex. How would you make 5.00x 10 2 cm 3 of a 0.133M solution of MnSeO 4 ? = 13.2 g of MnSeO4
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