# LIMITING REAGENTS, THEORETICAL , ACTUAL AND PERCENT …

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LIMITING REAGENTS, THEORETICAL , ACTUAL AND PERCENT YIELDS

A limiting reagent is a chemical reactant that limits the amount of product that is formed. The limiting reagent gives the smallest yield of product calculated from the reagents (reactants) available. This smallest yield of product is called the theoretical yield.

To find the limiting reagent and theoretical yield, carry out the following procedure:

1. Find the moles of each reactant present.

2. Calculate the moles of a product formed from each mole of reactant.

3. Identify the reactant giving the smaller number of moles of product. This reactant is the Limiting Reagent:

4. Calculate the grams of product produced by the Limiting Reagent. This is the theoretical yield.

THEORETICAL YIELD

The theoretical yield is the amount of the product in g formed from the limiting reagent. From the moles of limiting reagent available, calculate the grams of product that is theoretically possible (same as Step 4 above).

ACTUAL YIELD

The actual yield is the amount of the product in g actually formed in the laboratory.

PERCENT YIELD

The percent yield is the percent of the product formed based upon the theoretical yield.

actual yield in g ----------------------- x 100 % theoretical yield in g

= Percent Yield

1

LIMITING REAGENTS, THEORETICAL , ACTUAL AND PERCENT YIELDS

EXAMPLE OF A LIMITING REAGENT PROBLEM

How many grams of NH 3 can be be produced (theoretically) from the reaction of 5.0 g of N 2 and 5.0 H 2? W hat is the limiting reagent? If 8.52 g are actually formed, what is the percent yield of NH 3?

Balance:

3 H2

+

N2

?

2 NH3

Find:

1 mole H2: 2 x 1.01 g H = 2.01 g

1 mole N2: 2 x 14.01 g = 28.02 g

1 mole NH 3: 3 x 1.01 g = 3.03 g H 1 x 14.01 g = 14.01 g N

-----------17.04 g NH3

To answer this type of question, carry out EACH step of the following procedure: 1. Find the g of product produced from each of the given amounts of reactants.

For H2: 5.0 g H2 x

1 mole H2

x 2 mole NH3 x

2.02 g H2

3 mol H2

17.04 g NH3 1 mol NH3

= 28.12 g NH3

For N 2 : 5.0 g N 2 x 1 mole N2 140.01 g N2

x 2 mole NH3 1 mol N2

2. Identify the smaller amount of calculated product:

This is the maximum amount of product that can be formed. The larger amount cannot be formed because there is not enough of the limiting reagent present.

x

17.04 g NH3

= 12.16 g NH3

1 mol NH3

(carry 1 or 2 additional significant figures here)

12.16 g is the smaller amount calculated.

3. Identity the reactant that gives the smallest amount of product. The limiting reagent determines the amount of product formed.

The limiting reagent is N2.

4. Identify the THEORETICAL YIELD: The theoretical yield is the amount of the product (in g) formed from the limiting reagent.

12 g is the theoretical yield

5. Identify the ACTUAL YIELD: The actual yield is the amount of the product (in g or mol) actually formed in the laboratory.

8.25 g is the actual yield.

6.

Calculate the PERCENT YIELD: The percent yield is based upon the theoretical yield.

actual yield (g) ----------------------theoretical yield (g)

calculation)

x 100 % = Percent Yield

8.25 g = ---------- x 100 % = 68%

12.16 g

(For theoretical yield, carry more sig. figs. in this

Final sig. figs. limited by the given amounts of reactants.

2

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