stoichiometry ch. 9. the arithmetic of equations 9-1

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Stoichiometry Ch. 9

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Page 1: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Stoichiometry

Ch. 9

Page 2: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

The Arithmetic of Equations

9-1

Page 3: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Stoichiometry

• Stoichiometry = the calculation of quantities in chemical reactions.

2H2 + O2 2H2O

Page 4: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Interpreting Chemical Equations• N2(g) + 3H2(g) 2NH3(g)

N2(g) 3H2(g) 2NH3(g)

Atoms

Molecules

Moles

(coefficient)

1 mol N2 3 mol H2 2 mol NH3

Molar Mass

(don’t use coefficient)

28g N2 2g H2 17g NH3

Page 5: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Practice!• H2(g) + I2(g) 2HI(g)

H2(g) I2(g) 2HI(g)

Atoms

Molecules

Moles

(coefficient)

Mass

(don’t use coefficient)

Page 6: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Practice!• H2(g) + I2(g) 2HI(g)

H2(g) I2(g) 2HI(g)

Atoms

Molecules

Moles

(coefficient)

1 mol H2 1 mol I2 2 mol HI

Mass

(don’t use coefficient)

2g H2 126.9g x 2 = 253.8g I2

126.9g + 1g =

127.9g HI

Page 7: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Chemical Calculations

9-2

Page 8: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Mole-Mole Calculations• N2(g) + 3H2(g) 2NH3(g)

1 mol N2 + 3 mol H2 2 mol NH3

• Mole Ratios = used to calculate between moles of reactants and products.– 6 possible mole ratio’s from equation above:

1 mol N2 2 mol NH3 3 mol H2

3 mol H2 1 mol N2 2 mol NH3

3 mol H2 1 mol N2 2 mol NH3

1 mol N2 2 mol NH3 3 mol H2

Page 9: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Mol A Mol B

• Calculation:

____mol A x mol B = _____mol B

mol A• Example:

How many moles of NH3 are produced when 0.60mol of N2 reacts with H2?

N2 + 3H2 2NH3

0.60mol N2 x 2 mol NH3 = 1.2 mol NH3

1 mol N2

Page 10: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Stoichiometric Calculations

• Atoms/Molecules

of A

• Mass of A

• Volume of A

• Atoms/Molecules

of B

• Mass of B

• Volume of B

x Mol B x Mol A

atoms A x 1 mol A

6.02x1023a A

Mass A x 1 mol A molar mass A

Volume A x 1 mol A 22.4L A

x 6.02x1023a B = atoms B 1 mol B

x molar mass B = mass B 1 mol B

x 22.4L B = volume B 1 mol B

Mole Ratio

Page 11: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Practice!

• How many molecules of O2 are produced from 29.2g of water?

2H2O(l) 2H2(g) + O2(g)

mass A mol A/B molec B29.2g H2O x 1 mol H2O x 1 mol O2 x 6.02x1023molec O2 =

18g H2O 2 mol H2O 1 mol O2

= 4.88x1023 molecules O2

Page 12: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

More Practice!• How many liters of oxygen are needed to

produce 34.2g of SO3?

2SO2(g) + O2(g) 2SO3(g)

Mass (g) mol volume (liters)

34.2g SO3 x 1 mol SO3 x 1 mol O2 x 22.4L O2 80g SO3 2 mol SO3 1 mol O2

= 4.79 L O2

Page 13: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Percent Yield

9-3

Page 14: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Calculating the Percent Yield

• Theoretical Yield: amount of product a chemical reaction predicts by stochiometry.

• Actual Yield: is less than the theoretical yield due to lab techniques, equipment, etc.

• Percent Yield: ratio of the actual yield to the theoretical yield expressed as a percent.

– Shows efficiency of reaction

– Percent yield = actual yield x 100%

theoretical yield

Page 15: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Example

• A theoretical yield, using stoichiometry, of 4.55g of ammonia is produced. The actual yield from lab is 3.86g. What is the percent yield of this reaction?

– Percent yield = 3.86g x 100 = 84.8%

4.55g

Page 16: Stoichiometry Ch. 9. The Arithmetic of Equations 9-1

Example• What is the theoretical yield of CaO if 24.8g CaCO3 is

used? What is the percent yield if 13.1g CaO is produced in lab?

CaCO3(s) CaO(s) + CO2(g)

24.8g CaCO3 ? g CaO massmolmass

1) Theoretical yield =

24.8g CaCO3 x 1 mol CaCO3 x 1 mol CaO x 56g CaO 100g CaCO3 1 mol CaCO3 1 molCaO

= 13.9g CaO

2) Percent yield = 13.1g CaO x 100% = 94.2%

13.9g CaO