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Bell Work: Limiting Reactant Problems
You have 8 car bodies and 28 tires. As you build cars, which will you run out of first? Which will limit the number of complete cars produced? Which do you have excess of? How much excess do you have? How many running cars will be produced?
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You have 8 car bodies (Cb) and 28 tires (Tr). Write a reaction:
1 Cb + 4 Tr ๏ 1 Cr As you build cars, which will you run out of first? Tires 2. Which will limit the number of complete cars produced? tires 3. Which do you have excess of? Car bodies How much excess do you have? 28 ๐๐ 1 ๐ถ๐ 4 ๐๐ =7 Cb used up. So, 8 -7 = 1 leftover car body. An excess of 1 car body. 5. How many running cars will be produced? 7
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Vocabulary Limiting reagent: chemical first used up in a reaction
Produces least amount of product Limits amount of product that can be produced The reaction will stop when all of the limiting reactant is consumed Excess reagent: chemical not used up in a reaction The excess reactant remains because there is nothing with which it can react. How much is left over? Take the amount you start with minus how much reacted with the limiting reagent. Percent yield= actual yield theoretical yield x 100.
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Limiting Reactant Example 1
To make 12 cookies, you need 2 cups of sugar and 3 cups of flour. If you have 8 cups of sugar and 8 cups of flour, which is the limiting reagent? 2 S + 3 F ๏ 12 C 8 ๐๐ข๐๐ ๐ ๐ข๐๐๐ 12 ๐๐๐๐๐๐๐ 2 ๐๐ข๐๐ ๐ ๐ข๐๐๐ =48 ๐๐๐๐๐๐๐ 8 ๐๐ข๐๐ ๐๐๐๐ข๐ 12 ๐๐๐๐๐๐๐ 3 ๐๐ข๐๐ ๐๐๐๐ข๐ =32 ๐๐๐๐๐๐๐ Since the flour will make fewer cookies, it is the limiting reagent.
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2 S + 3 F ๏ 12 C 2. Which do you have excess of? Sugar 3. How much excess do you have? 8 ๐๐ข๐๐ ๐๐๐๐ข๐ 2 ๐๐ข๐๐ ๐ ๐ข๐๐๐ 3 ๐๐ข๐๐ ๐๐๐๐ข๐ =5.33 cups sugar are needed for the recipe. So there are 8 โ 5.33 = 2.67 cups of excess sugar. How many cookies will be produced? 8 ๐๐ข๐๐ ๐๐๐๐ข๐ 12 ๐๐๐๐๐๐๐ 3 ๐๐ข๐๐ ๐๐๐๐ข๐ =32 cookies
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Limiting Reactant Example 2
2 Al + 3 I > 2 AlI3 a. Determine the limiting reagent and the theoretical yield of the product if one starts with 1.20 mol Al and 2.40 mol iodine. 1.2 ๐๐๐ ๐ด๐ 2 ๐๐๐ ๐ด๐ ๐ผ 3 2 ๐๐๐ ๐ด๐ = 1.2 mol Al I3 2.4 ๐๐๐ ๐ผ 3 2 ๐๐๐ ๐ด๐ ๐ผ 3 3 ๐๐๐ ๐ผ 3 = 1.6 mol Al I3 Aluminum is the limiting reagent.
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2 Al + 3 I > 2 AlI3 b. If 0.9 mol were actually produced in the lab, what is the percent yield of the reaction? ๐ฅ100=75% c. Can you ever have a yield greater than 100%? No! Mass would not be conserved.
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How many moles of carbon dioxide will be produced?
Example 3 2 C5H O2 ๏ 10 CO H2O If 25 grams of pentane react with 25 grams of oxygen, what is the limiting reactant? How many moles of carbon dioxide will be produced? How much excess reactant will remain after the reaction? If 20.0 g were actually produced, what was the percent yield?
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Example 3 2 C5H O2 ๏ 10 CO H2O If 25.0 grams of pentane react with 25.0 grams of oxygen, what is the limiting reactant? 25 ๐ C5H10 ๐ ๐๐๐C5H10 ๐๐ ๐C5H10 x 10 ๐๐๐ ๐ถ๐2 ๐ ๐๐๐C5H10 =1.79 ๐๐๐ ๐ถ๐2 25 ๐ O2 ๐ ๐๐๐O2 ๐๐ ๐O2 x 10 ๐๐๐ ๐ถ๐2 ๐๐ ๐๐๐O2 =0.521 ๐๐๐ ๐ถ๐2 Oxygen is limiting because it produced less CO2.
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2 C5H O2 ๏ 10 CO H2O How many moles of carbon dioxide will be produced? 0.521 ๐๐๐ ๐ถ๐2 How much excess reactant will remain after the reaction? 0.521 ๐๐๐ ๐ถ๐2 2 ๐๐๐ ๐ถ5๐ป10 10 ๐๐๐ ๐ถ๐2 ๐ฅ 70 ๐๐ถ5๐ป10 1๐๐๐ ๐ถ5๐ป10 =7.29 ๐ ๐ข๐ ๐๐ ๐ข๐ 25.0 โ 7.29 = g pentane left over
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Theoretical yield in grams: 0.521 ๐๐๐ ๐ถ๐2 44 ๐ ๐ถ๐2 1 ๐๐๐ ๐ถ๐2 =22.9 g
Example 3 2 C5H O2 ๏ 10 CO H2O If 20.0 g of carbon dioxide were actually produced, what was the percent yield? Theoretical yield in grams: 0.521 ๐๐๐ ๐ถ๐2 44 ๐ ๐ถ๐2 1 ๐๐๐ ๐ถ๐2 =22.9 g percent yield: ๐ฅ100=87%
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