The first step in calculating yield percentage is to determine the theoretical yield. The theoretical yield is the maximum amount of product that can be obtained from a given amount of reactants. To find the theoretical yield, we need to know the balanced chemical equation for the reaction, as well as the stoichiometry of the reaction.
For example, let’s say we want to know the theoretical yield of hydrogen gas (H2) produced when 5.00 g of zinc (Zn) reacts with excess hydrochloric acid (HCl) according to the following balanced chemical equation:
Zn + 2HCl → ZnCl2 + H2
From the balanced chemical equation, we can see that one mole of zinc reacts with two moles of hydrochloric acid to produce one mole of hydrogen gas. We can use this stoichiometry to convert the mass of zinc to moles of zinc and then to moles of hydrogen gas.
Moles of Zn = 5.00 g / 65.38 g/mol = 0.0763 mol
Moles of H2 = 0.0763 mol × 1 mol H2 / 1 mol Zn = 0.0763 mol
So the theoretical yield of hydrogen gas is 0.0763 moles.
The next step is to measure the actual yield of the product. The actual yield is the amount of product that is obtained from the reaction in the laboratory. This can be determined by measuring the mass or volume of the product and converting it to moles using the appropriate molar mass or density.
For example, let’s say that in the laboratory, we obtain 0.0622 g of hydrogen gas from the reaction. We can convert this mass to moles using the molar mass of hydrogen gas, which is 2.016 g/mol.
Moles of H2 = 0.0622 g / 2.016 g/mol = 0.0308 mol
So the actual yield of hydrogen gas is 0.0308 moles.
The final step in calculating yield percentage is to divide the actual yield by the theoretical yield and multiply by 100% to get a percentage.
Yield percentage = actual yield / theoretical yield × 100%
Using the values we calculated above, we can calculate the yield percentage of the reaction:
Yield percentage = 0.0308 mol / 0.0763 mol × 100% = 40.4%
So the yield percentage of the reaction is 40.4%.
It is important to understand that the yield percentage can never be greater than 100%. This is because the actual yield of the product can never exceed the theoretical yield. In practice, the actual yield of a reaction is often less than the theoretical yield due to various factors such as incomplete reactions, side reactions, and loss of product during purification.
In conclusion, yield percentage is a useful concept in chemistry for measuring the efficiency of a chemical reaction. By following the steps outlined in this article, you can calculate the yield percentage of any reaction and compare it to the theoretical maximum yield. Understanding the yield percentage of a reaction can help chemists optimize reaction conditions, identify factors that limit yield, and improve the overall efficiency of chemical processes.