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Percent Composition Formula

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Last updated date: 21st May 2024
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What is the Percent Composition Formula?

Any chemical compound is composed of different constituent elements. Sometimes in calculations about chemical reactions you need to identify the amount of an element in a given compound. Or in order to understand the contribution of a particular element in any of the stoichiometric calculations of a chemical compound of which the element is part, it is necessary to know the amount of the given element in the compound. This can be known by knowing the percentage composition of the element in a given compound which is obtained from the percent composition formula.


Properties of Percent Composition Formula

Percent composition chemistry relies on the formula of percent composition by mass. The formula percentage composition or the formula for mass percentage is obtained as a ratio of the amount of each element present in the compound to the total sum of the individual elements of the compound, multiplied by 100 in order to obtain the percentage. In simple terms, the formula for the mass percentage of an element or the percent composition by mass is given as:

Percent Composition by Mass = (Mass of element / Molecular weight of compound) * 100

  • Typically, the mass or weight of the elements and the compound is taken in grams. 

  • It can be seen from the above-given formula, it is clear that the percentage composition of a compound can be expressed in terms of each of the individual elements present in the compound.

Mathematically to calculate the percentage by mass of an element in a compound the following formula is used:

%CE = (gE/gT) * 100; Where CE is just a representation of the percentage composition of an element, gE is the total amount of element, gT is the total weight of the compound.

The ratio when multiplied by 100 gives the percentage composition formula.

It is also possible to obtain the molecular formula from the percent composition of an element for a given compound. This can be easily obtained as the ratio is of the molecular weight of an element to the molecular weight of the compound. Thus, the formula for mass percentage is also useful in obtaining the molecular formula, especially in cases of unknown chemical formula of a newly discovered chemical compound.

Some Examples

Example 1. Calculate the percentage by mass of calcium and oxygen in the calcium hydroxide compound. 

Sol: The chemical formula of calcium hydroxide is given as = $Ca(OH)_2$

Based on the molecular formula of calcium hydroxide, the formula mass can be calculated by getting the sum of the molar mass of each of the constituent elements.

The molar mass of each of the constituent elements is given as:

Calcium, Ca = 40 g/mol.

Oxygen, O = 16 g/mol. 

Hydrogen, H = 1 g/mol. 

Thus, the total molar mass of the compound = mass of Ca + 2*(mass of O) + 2*(mass of H)

= 40 + 2*16 + 2*1  = 40 + 32 + 2

= 74 g/mol.

From the available information, the percentage by mass of calcium in calcium hydroxide is calculated as,

%Ca = (40/74)*100 = 54.05%.    

Similarly, the percentage by mass of oxygen can be calculated as, 

%O = (16/74)*100 = 21.62%.

Example 2. Calculate the percentage by mass of each of the elements of water.

Sol: The molecular formula of water molecules is $H_2O$.

The molar mass of each of the elements is given below:

Hydrogen, H = 1 g/mol.

Oxygen, O = 16 g/mol.       

The total molecular weight of water from the given molar mass of the elements is

= 2*(mass of H) + mass of O. 

= 2*1 + 16 = 2 + 16 = 18 g/mol. 

Hence, from the given available information, the percent composition by mass of Hydrogen in water is,

%H = (1/18) = 11.11%.

Similarly, the percent by a composition by mass of oxygen is given as, 

%O = (16/18) = 88.89%.

Practice Questions

Q1. Calculate the percentage by mass of oxygen in NaOH.

  1. 30%

  2. 20%

  3. 45%

  4. 40%

Q2. Calculate the percentage by mass of nitrogen in CH₄N₂O.

  1. 36%

  2. 46.6%

  3. 43%

  4. NOTA

Conclusion

Composition is an important topic in chemistry. These are important topics to learn as students will remember and carry them with them for higher classes. Allowing students to visualize and conceptualize Different Formula of Percent Composition of elements in compounds and knowledge of the topics will help them develop skills in this topic and in related ones.

FAQs on Percent Composition Formula

1. How is the Percent Composition of a Compound Calculated?

The percent composition is usually calculated from the molecular formula by dividing the molecular weight of a single element in one mole of a given chemical compound by the molecular weight of one mole of the compound. On multiplying this ratio by 100, the percent composition of an element for a given compound is calculated.

2. What Information Do You Need for Calculating the Percentage Composition?

Percentage composition of a compound gives the amount of constituent elements present in one mole of a given compound. In order to calculate the percentage composition the molecular weight of each of the constituent elements as well as the total molecular weight of the chemical compound is required as their ratio when multiplied by 100 gives the percentage composition of a compound.

3. What is the atomic weight of an element?

The atomic weight of an element is the total weight of that element. It is the sum of the total number of protons and neutrons and some little added electrons present in the element.