Hemet High  Honors Chemistry

9 Stoichiometry

Notes

Section 9.1 – Introduction to Stoichiometry

Types of Stoichiometry Problems

  • Given is in moles and unknown is in moles.
  • Given is in moles and unknown is in mass (grams).
  • Given is in mass and unknown is in moles.
  • Given is in mass and unknown is in mass.

Writing and Using Mole Ratios

  • Mole Ratio: a conversion factor derived from the coefficients of a balanced chemical equation interpreted in terms of moles.
  • In chemical calculations, mole ratios are used to convert between:
  • N2(g) + 3H2(g)  2NH3 (g)
  • Three mole ratios can be derived from the balanced equation above:
  • Example: Li(s) + O2(g)  Li2O(s)

Section 9.2 – Ideal Stoichiometric Calculations

Mole-Mole Calculations

  • How many moles of ammonia (NH3) are produced when 0.60 mol of N2 reacts with H2.
  • Step 1: Write out equation and balance it
  • Step 2: Determine mole ratio of known (N2) to unknown (NH3).
  • Step 3: Multiply given amount of known by the correct mole ratio that will cancel out the known units, leaving you the unknown units
  • Example: How many moles of Chlorine are produced when 3.2 moles sodium chloride decomposes?

Mole-Mass Calculations

  • How many grams of aluminum oxide(Al2O3) are produced when 0.50mol Al reacts with O2?
  • Step 1: Write out equation and balance it
  • Step 2: Multiply by the mole ratio to get from known to unknown moles.
  • Step 3: Multiply the moles of unknown by the molar mass of the unknown to get grams.
  • Example: How many grams of Copper are needed to react with Sulfur to form 5.40 moles of copper sulfide?

Mass-Mole Calculations

  • Calculate the number of moles of H2O produced by the reaction of 5.40 g of O2 with an excess of H2. *excess means that there is enough to react.
  • Step 1: Write out equation and balance it.
  • Step 2: Multiply the given amount by the molar mass of the known to get moles.
  • Step 3: Multiply by the mole ratio to get from known to unknown moles.
  • Example: How many moles of hydrogen are needed to react with nitrogen to form 10.5 grams of ammonia (NH3)?
  • Example: How many moles of Lithium are formed by the decomposition of 3.40 grams of Lithium Oxide?

Mass-Mass Calculations

  • Calculate the number of grams of CO produced by the reaction of 3.25 g of C with an excess of O2.
  • Step 1: Write out equation and balance it.
  • Step 2: Multiply the given amount by the molar mass of the known to get moles.
  • Step 3: Multiply by the mole ratio to get from known to unknown moles.
  • Step 4: Multiply the moles of unknown by the molar mass of the unknown to get grams.
  • Example: How many grams of Oxygen are needed to make 20.0 grams of NO2? 2NO + O2 2NO2
  • Example: How many grams of SO3 are produced when 55.3 grams of SO2 reacts with an excess of O2.

Section 9.3 – Limiting Reactants and Percentage Yield

  • Limiting reactant: the substance that determines the amount of product that can be formed by a reaction.
  • Excess reactant: the substance that is not completely used up in a reaction.
  • Keep in mind that the reactant that is present in the smaller amount by mass or volume is not necessarily the limiting reactant.

Determining Limiting Reactant

  • What is the limiting reactant when 80.0g Cu reacts with 25.0g S? 2Cu(s) + S(s)  Cu2S(s)
  • Using the grams of reactant given, determine the moles of reactant. *Have
  • Using the balanced chemical equation, determine the mole ratio.
  • Multiply the moles of one reactant by the mole ratio to get the needed amount of the other reactant and compare to the amount you have.

*When you need more than you have, that is your limiting reactant.

*When you have more than you need, that is your excess reactant.

Example:

  • If 4.00 mol C2H4 is reacted with 9.50 mol O2, identify the limiting reactant and calculate the moles of excess reactant remaining. C2H4(g) + 3O2(g)  2CO2(g) + 2H2O(g)

*Since we already have moles, we know what we have, we just have to find what we need.

Using a Limiting Reactant to Find Quantity of a Product

  • What is the maximum number of grams of Cu2S that can be formed when 45.0g Cu reacts with 24.0g S? 2Cu(s) + S(s)  Cu2S(s)
  • Find the limiting reactant and then use the moles of limiting reactant to calculate moles and then grams of Cu2S.

Limiting Reactant is ______, so we use the given amount of ______to find grams of Cu2S

Example

  • Calculate the moles of I2 produced when 80.0g I2O5 reacts with 28.0g CO.

I2O5(g) + 5CO(g)  5CO2(g) + I2(g)

Limiting Reactant is _____, so we use the given amount of _____ to find moles of I2. We already have converted to moles in the first part, so start with moles.

Percent Yield

  • Theoretical Yield: the maximum amount of product that could be formed from given amounts of reactants.
  • Actual Yield: the amount of product that actually forms when the reaction is carried out in the laboratory.
  • Percent Yield: the ratio of the actual yield to the theoretical yield expressed as a percent.

Percent Yield = actual yield x 100%units can be gram or mol, as

theoretical yieldlong as they are the same.

  • The percent yield is a measure of the of a reaction carried out in the laboratory.

Factors that can cause the actual yield to be less than the theoretical yield:

Calculating Theoretical Yield

  • What is the theoretical yield in grams of CaO if 24.8g CaCO3 is heated?

CaCO3(s)  CaO(s) + CO2(g)

  • Calculate the theoretical yield by converting the mass of the reactant to the mass of the product, using molar mass and mole ratios.

Example

  • What is the theoretical yield of AlCl3 when 3.00mol Al reacts with an excess of Cl2?

2Al + 3Cl2 2AlCl3

Calculating Percent Yield

  • What is the percent yield if 13.1g CaO is actually produced when 24.8g CaCO3 is heated? CaCO3(s)  CaO(s) + CO2(g)
  • Find the theoretical yield (13.9g CaO) and plug both the theoretical and actual yields into the percent yield equation.

Example

  • What is the percent yield if 2.85mol AlCl3 is actually produced when 3.00mol Al reacts with an excess of Cl2?

2Al + 3Cl2 2AlCl3

Another Way To Look At It

  • Think of percent yield as a grade on a test.
  • The Theoretical Yield is the number of points possible: 70 pts
  • The Actual Yield is the number of points you earned: 64 pts
  • Percent yield = 64/70 x 100% = 91%

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