Grade 10 → Stoichiometry and Chemical Calculations ↓
Empirical and molecular formula
In chemistry, it is fundamental to understand the structure of compounds. Two types of formulas are important for this purpose: the empirical formula and the molecular formula. These notations allow us to express the elements that make up a compound and their ratios. In this lesson, we will explore these concepts in depth using simple language. We will also look at visual examples to help clarify these important ideas.
What is the empirical formula?
The empirical formula of a compound gives the simplest integer ratio of the elements present in it. It does not tell us the exact number of atoms in the molecule, only the ratio of different types of atoms.
Example of empirical formula:
Consider glucose, a simple sugar. Its molecular formula is C 6 H 12 O 6
The molecular formula gives the actual number of each type of atom in a molecule. However, the empirical formula of glucose is CH 2 O
This is because the simplest whole-number ratio of carbon, hydrogen, and oxygen atoms is 1:2:1.
Molecular formula of glucose: C 6 H 12 O 6 Empirical formula of glucose: CH2O
How to determine the empirical formula
To determine the empirical formula, follow these steps:
- Find the mass (in grams) of each element in the compound.
- Convert the mass of each element into moles using the molar mass (atomic weight).
- Divide the mole value of each element by the smallest mole number calculated.
- Multiply the numbers you get to get whole numbers to use in the ratio.
Step-by-step example:
Let us determine the empirical formula of a compound that contains 40.0% carbon, 6.7% hydrogen, and 53.3% oxygen by mass.
- Suppose we have 100 grams of the compound, which means it contains 40.0 grams of carbon, 6.7 grams of hydrogen, and 53.3 grams of oxygen.
- Convert these masses to moles:
- Carbon: [frac{40.0 ,g}{12.01 ,g/mol} = 3.33 ,mol]
- Hydrogen: [frac{6.7 ,g}{1.008 ,g/mol} = 6.65 ,mol]
- Oxygen: [frac{53.3 ,g}{16.00 ,g/mol} = 3.33 ,mol]
- Divide the number of moles of each element by the smallest number of moles, in this case, 3.33 moles:
- Carbon: (frac{3.33}{3.33} = 1)
- Hydrogen: (frac{6.65}{3.33} ≈ 2)
- Oxygen: (frac{3.33}{3.33} = 1)
- These ratios become sub-digits in the empirical formula: The empirical formula is
CH 2 O
What is the molecular formula?
The molecular formula is more comprehensive than the empirical formula. It expresses the exact number of each type of atom in a molecule. The molecular formula is always a multiple of the empirical formula.
Example of molecular formula:
As discussed earlier, the empirical formula of glucose is CH 2 O
, but the molecular formula is C 6 H 12 O 6
This tells us that one molecule of glucose contains 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms.
How to determine molecular formula
Follow these steps to find the molecular formula:
- First, find the empirical formula mass by adding up the atomic masses of all the atoms in the empirical formula.
- Then, divide the molecular mass (given or experimentally determined) by the empirical formula mass, which gives you the multiplier to apply to the sub-numbers in the empirical formula.
- Multiply the sub-digits in the empirical formula by this factor to find the molecular formula.
Step-by-step example:
Determine the molecular formula for a compound with an empirical formula of CH
and a molecular mass of 78 g/mol.
- Calculate the mass by the empirical formula (
CH
):- Carbon: (12.01 ,g/mol)
- Hydrogen: (1.008 ,g/mol)
- Total mass: (12.01 + 1.008 = 13.018 ,g/mol)
- Divide the molecular mass by the empirical formula mass: [frac{78 ,g/mol}{13.018 ,g/mol} = 6]
- Multiply all sub-numbers in the empirical formula
CH
by this factor:- Result:
C 6 H 6
- Result:
Using visuals to understand formulas
Visual representation can simplify our understanding, so let's look at a simple schematic diagram that shows the difference between the molecular and empirical formula of another compound, water.
In this visualization, blue represents the oxygen atom, while red represents the hydrogen atom. For water, the empirical and molecular formulas are the same.
Why it's important to understand formulas
Knowing empirical and molecular formulas helps in various real-world applications, such as designing chemical reactions, creating new materials, and even in pharmacy for drug manufacturing. The difference between empirical and molecular formulas helps chemists to fully understand the structure of compounds and how they interact in different situations.
As you gain more understanding and practice in calculating these formulas, the process will become more intuitive. Remember, each part of the calculation helps reveal the "story" the atoms are telling about their arrangement in the molecule.
Conclusion
Empirical and molecular formulas are fundamental in chemistry, opening the door to understanding chemical structure and reactions. Mastering these concepts will lay a strong foundation for more advanced topics in chemistry.
Keep practicing with different compounds to strengthen your understanding of empirical and molecular formulas. Handling complex calculations becomes easier with practice, which aids you in your journey in chemistry.