stoichiometric calculations stoichiometry – ch. 8

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Stoichiometr ic Calculations Stoichiometry – Ch. Stoichiometry – Ch. 8 8

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Stoichiometri

c Calculations

Stoichiometry – Ch. 8Stoichiometry – Ch. 8

Proportional Proportional RelationshipsRelationshipsProportional Proportional RelationshipsRelationships

I have 5 eggs. How many cookies can I make?

3/4 c. brown sugar1 tsp vanilla extract2 eggs2 c. chocolate chipsMakes 5 dozen cookies.

2 1/4 c. flour1 tsp. baking soda1 tsp. salt1 c. butter3/4 c. sugar

5 eggs 5 doz.

2 eggs= 12.5 dozen cookies

Ratio of eggs to cookies

Proportional Proportional RelationshipsRelationshipsProportional Proportional RelationshipsRelationships

StoichiometryStoichiometry• mass relationships between

substances in a chemical reaction• based on the mole ratio

Mole RatioMole Ratio• indicated by coefficients in a

balanced equation

2 Mg + O2 Mg + O22 2 MgO 2 MgO

Stoichiometry StepsStoichiometry StepsStoichiometry StepsStoichiometry Steps

1. Write a balanced equation.2. Identify known & unknown.3. Line up conversion factors.

• Mole ratio - moles moles• Molar mass - moles grams

Core step in all stoichiometry problems!!

• Mole ratio - moles moles

4. Check answer.

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

If you have 45 kg of isoamyl alcohol and enough acetic acid to react with all of the isoamyl alcohol, what is the maximum number of kg of isoamyl acetate that can be made?

C5H11OH + CH3COOH CH3COOC5H11 + H20

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

Equation balanced?

C5H11OH + CH3COOH CH3COOC5H11 + H20

YEA!!!

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

What do you know?45 kg of C5H11OH? kg of isoamyl acetateMolar mass of C5H11OH = 88.17g/molMolar mass of CH3COOC5H11= 130.21

g/mol 1 mol C5H11OH : 1 mol CH3COOC5H11 1000 g = 1 kg

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

45 kg 1mol C5H11OH 1000 g

88.17 g C5H11OH 1kg

= 510.mol C5H11OH

510.mol C5H11OH 1 mol CH3COOC5H11 =

1 mol C5H11OH

510. mol CH3COOC5H11

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

510. mol CH3COOC5H11 130.21 g 1kg

1 mol CH3COOC5H11 1000g=66.4 kg isoamyl acetate

66 kg isoamyl acetate is the maximum amount that can be produced

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

Magnesium burns in oxygen to produce magnesium oxide. How much magnesium will burn in the presence of 189 ml of oxygen? The density of oxygen is 1.429 g/L.

2Mg + O2 → 2MgO

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

189 ml O2

D = 1.429 g/L

1 mol O2 = 2 mol Mg

MM O2 = 32.00 g/ mol

MM Mg = 24.30 g/ mol

Stoichiometry ProblemsStoichiometry ProblemsStoichiometry ProblemsStoichiometry Problems

189 ml O2 • 1.429 g • 1 L • 1 mol O2 1 L 1000 ml 32.00 g O2

= 8.44 X 10-3 mol O2

8.44 X 10-3 mol O2 • 2 mol Mg 1 mol O2

= 16.88 X 10-3 mol Mg

16.88 X 10-3 mol Mg • 24.30 g Mg = 1 mol Mg

0.410 g Mg

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Available IngredientsAvailable Ingredients• 4 slices of bread• 1 jar of peanut butter• 1/2 jar of jelly

Limiting ReactantLimiting Reactant• bread

Excess ReactantsExcess Reactants• peanut butter and jelly

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Limiting ReactantLimiting Reactant• used up in a reaction• determines the amount of product

Excess ReactantExcess Reactant• added to ensure that the other

reactant is completely used up• cheaper & easier to recycle

Limiting Reactants- StepsLimiting Reactants- StepsLimiting Reactants- StepsLimiting Reactants- Steps

1. Write a balanced equation.

2. Determine # of moles present for each reactant.

3. Mole ratios but this time not for what you are looking for, but for reactants.

Limiting Reactants- StepsLimiting Reactants- StepsLimiting Reactants- StepsLimiting Reactants- Steps

4. Use the limiting reactant to solve the problem as usual .

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Example problem page 286

CO + H2 → CH3OH Not balanced!

CO+ 2H2 → CH3OH

1 C 1 C

1 O 1 O

4 H 4 H

BALANCED!!!!!!!!!!!

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Looking for kg of CH3OH produced

152.5 kg CO

MM CO = 28.01 g/mol

24.5 kg H2 MM H2 = 2.02 g/mol

1mol CO = 2mol H2

MM CH3OH = 32.05g/mol

1mol CO = 1mol CH3OH

2mol H2 = 1mol CH3OH

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Determine # of moles present for each reactant.

152.5 kg CO x 1mol CO x 1000g =

28.01 g CO 1 kg

5.444 x 103 mol CO

24.5 kg H2 x 1mol x 1000 g =

2.02 g H2 1 kg

1.213 x 104 mol H2

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

Mole ratios but this time not for product for reactants

1 mol CO = 2 mol H2

1.213 x 104 mol H2 x 1mol CO =

2 mol H2

6.065 x 103 mol CO

Need 6.065 X 103 mol CO

Have 5.444 X 103 mol CO

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

CO is the limiting reactant!!!!

Not enough to react with all of the H2

present.

Use the limiting reactant to solve the problem

Limiting ReactantsLimiting ReactantsLimiting ReactantsLimiting Reactants

5.444 X 103 mol CO 1 mol CH3OH

1 mol CO

32.05 g CH3OH 1 kg

1 mol CH3OH 1000 g

= 174.5 kg CH3OH

Percent YieldPercent YieldPercent YieldPercent Yield

100yield ltheoretica

yield actualyield %

calculated on paper

measured in lab

Percent YieldPercent YieldPercent YieldPercent Yield

When 45.8 g of K2CO3 react with excess

HCl, 46.3 g of KCl are formed. Calculate the theoretical and % yields of KCl.

K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ? g

actual: 46.3 g

Percent YieldPercent YieldPercent YieldPercent Yield

45.8 gK2CO3

1 molK2CO3

138.21 gK2CO3

= 49.4g KCl

2 molKCl

1 molK2CO3

74.55g KCl

1 molKCl

K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ? g

actual: 46.3 g

Theoretical Yield:

Percent YieldPercent YieldPercent YieldPercent Yield

Theoretical Yield = 49.4 g KCl

% Yield =46.3 g

49.4 g 100 =93.7%

K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g 49.4 g

actual: 46.3 g