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Library / Foundations: Chemistry / FCH-08

Foundations: Chemistry

Percentage yield

How much product was actually made compared with the maximum possible.

Ref
FCH-08
Rev
v1
Field
Foundations: Chemistry
Result
% [%]

Actual and theoretical yield must be in the same unit (mass or moles). The theoretical yield comes from the balanced equation.

It compares what you really got with what the equation says you should get at best.

Calculator

Solve for
%
g
0.011,000
g
0.011,000
  • Product lost1.4 g
  • Yield as a fraction0.75

What drives the result

Each variable is moved across its typical range while the others stay at the values above. The longest bar is the key driver.

Percentage yield (%) current value 75 %
theoreticalTheoretical yieldKey driver
0.4242,000
actualActual yield
0.17917,900
  • A yield above 100% means the product is impure or still wet.
  • Losses in separate steps multiply, so a five-step synthesis at 80% each yields only about 33% overall.
Chart data as tables

Ranked variables

VariableTypical rangeLowest resultHighest resultSwing (%)Local stepChange in result
theoretical Theoretical yield0.01 to 1,000 g0.4242,00042,000+10%−9.09 %
actual Actual yield0.01 to 1,000 g0.178617,86017,860+10%+10 %

Sweep of Actual yield

Actual yield (g)Percentage yield (%)
0.010.1786
0.042170.753
0.17783.175
0.749913.39
3.16256.47
13.34238.1
56.231,004
237.14,235
1,00017,860

Sweep one variable

Percentage yield (%)Hover, touch, or use the arrow keys on the chart
0500010k15k 0.010.11101001000 Actual yield (g), log scale now 75

Variables and how each one contributes

%

Percentage yield

Result · %

What the equation gives you. Everything else feeds it.

actual

Actual yield

g · typical 0.01 to 1,000

Mass of product collected. Directly proportional.

theoretical

Theoretical yield

g · typical 0.01 to 1,000

Maximum mass from the equation. Inversely proportional.

Worked example with the values above

  1. Ratio: 4.2 / 5.6 = 0.75.
  2. Multiply by 100.
  3. Percentage yield = 75 %.

Assumptions and limits

  • Same substance counted in both numbers.
  • Theoretical yield based on the limiting reagent.

Common mistakes

  • Comparing grams with moles.
  • Using the wrong reagent for the theoretical yield.

Statistics and uncertainty

Weighing errors matter more when the quantity is small; 0.01 g on 4.20 g is only 0.2%.

Where it is used

  • Process efficiency in manufacturing.
  • Comparing synthesis routes.

Maths you need

  • Reacting masses: theoretical yield
  • Percentages: part over whole

Related formulas

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