Empirical Formula and Molecular Formula (from Percent Composition)

Chemistry · Some Basic Concepts Of Chemistry · NEET

The empirical formula is the simplest whole-number ratio of atoms in a compound (like CH2O). The molecular formula is the real number of atoms in one molecule (like C6H12O6), and it is always a whole-number multiple of the empirical formula. Memory hook: "Empirical = Easiest ratio, Molecular = Multiple of it (n times)."
From Percent Composition to Molecular Formula% of eachelementTake 100 g,mass / atomicmass = molesDivide bysmallest, clearthe halvesEMPIRICALformula (e.g. CH2O)n = molar mass / empirical formula massMolecular formula = n x (empirical)e.g. 180/30 = 6, so CH2O becomes C6H12O6
The 4-step path from percentage composition to the empirical formula, and how molar mass turns it into the molecular formula using n.

Your doubts, answered

How do I find the empirical formula from percentage composition? (step by step)

Use 4 easy steps. Step 1: Assume you have 100 g of the compound, so each percent becomes grams (78% C means 78 g C). Step 2: Divide each element's mass by its atomic mass to get moles. Step 3: Divide every mole value by the SMALLEST mole value. Step 4: If the numbers are not whole (like 1.5), multiply all of them by a small number (2, 3...) to make them whole. The final whole numbers are the atom ratio. For NEET, this exact 4-step method solves almost every empirical formula question fast.

What is the difference between empirical formula and molecular formula?

Empirical formula = the simplest ratio of atoms. Molecular formula = the actual number of atoms in one molecule. Example: glucose empirical formula is CH2O, but its molecular formula is C6H12O6 (which is CH2O times 6). They are the SAME only when the ratio is already the smallest, like H2O or CO2. Molecular formula = n x (empirical formula).

Why do we divide by the smallest number of moles?

Dividing by the smallest mole value turns the numbers into a ratio starting from 1. It gives you the simplest comparison between atoms. The smallest element becomes 1, and the others show how many times more of them there are. This is just a shortcut to reach the simplest whole-number ratio quickly.

How do I find the molecular formula once I have the empirical formula?

First find n, using this formula: n = (molar mass of compound) / (empirical formula mass). Then multiply every atom count in the empirical formula by n. Example: empirical formula CH2O has mass 30. If the compound's molar mass is 180, then n = 180 / 30 = 6, so molecular formula = C6H12O6. If they do not give you the molar mass, you can only find the empirical formula, not the molecular one.

What if one percentage is missing in the question?

NEET often gives you only some percentages and says 'the remaining is element X'. Just subtract the given percentages from 100 to get the missing one. Example: if a compound is 32% A and 20% B, then C = 100 - 32 - 20 = 48%. Then continue with the normal steps. Missing this subtraction is the most common careless mistake.

I got numbers like 1 : 1 : 3 but the option shows ABC3 — is that right?

Yes. The ratio 1 : 1 : 3 means one atom of A, one atom of B, and three atoms of C, which is written as ABC3 (the '1' is not written). So a ratio like 1 : 1 : 3 gives ABC3, and 1 : 3 gives CH3. Always convert the final ratio directly into subscripts.

⚠️ The NEET trap
Stopping at fraction values like C : H = 1 : 3.38 and picking CH3 without checking, or forgetting to subtract to get the missing percentage.
After dividing by the smallest, round only when the value is very close to a whole number (3.0 approx), and if you get x.5 multiply ALL ratios to clear it. Always find the missing percent first by subtracting from 100.
🧠 Divide by smallest, then FIX the halves: x.5 means multiply everything by 2.

Real NEET questions

NEET 2021

An organic compound contains 78% (by wt.) carbon and the remaining percentage of hydrogen. The empirical formula of the compound is [at. wt.: C = 12, H = 1]

A · CH3
B · CH4
C · CH
D · CH2
Solution: Hydrogen % = 100 - 78 = 22%. Take 100 g: 78 g C and 22 g H. Moles of C = 78/12 = 6.5. Moles of H = 22/1 = 22. Divide by smallest (6.5): C = 6.5/6.5 = 1, H = 22/6.5 approx 3.38, which rounds to about 3. So the ratio C : H = 1 : 3, giving empirical formula CH3. Answer: (A).
NEET 2024

A compound X contains 32% of A, 20% of B and the remaining percentage of C. The empirical formula of X is (atomic masses: A = 64, B = 40, C = 32 u)

A · ABC3
B · AB2C2
C · ABC4
D · A2BC2
Solution: First find C% = 100 - 32 - 20 = 48%. Take 100 g. Moles: A = 32/64 = 0.5, B = 20/40 = 0.5, C = 48/32 = 1.5. Divide each by the smallest (0.5): A = 1, B = 1, C = 3. Ratio A : B : C = 1 : 1 : 3, so the empirical formula is ABC3. Answer: (A).

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Frequently asked

Can the empirical formula and molecular formula be the same?

Yes. When the atom ratio is already the smallest whole-number ratio, both are the same. Examples: H2O, CO2, NH3, and CH4. Here n = 1, so molecular formula = empirical formula.

Do I need the molar mass to solve every question?

No. To find only the empirical formula you just need the percentages and atomic masses. You need the molar mass only when the question asks for the molecular formula, because you need it to calculate n.

What is the empirical formula of glucose and benzene?

Glucose (C6H12O6) has empirical formula CH2O. Benzene (C6H6) has empirical formula CH. Both molecular formulas are simple multiples of their empirical formulas (n = 6 for both).

Why is this topic important for NEET?

Empirical and molecular formula questions appear almost every year in Some Basic Concepts of Chemistry. They are quick, scoring, and only need the mole idea plus simple division. Practising the 4-step method saves time in the exam.