Empirical Formula from Combustion Analysis (CO2 and H2O Data)

Chemistry · Some Basic Concepts Of Chemistry · NEET

When you burn an organic compound in oxygen, all its carbon becomes CO2 and all its hydrogen becomes H2O. You weigh the CO2 and H2O produced, work backwards to find grams of C and H, then convert to moles and take the simplest whole-number ratio. Memory hook: "C hides in CO2, H hides in H2O — catch them, count moles, make the ratio."
Combustion Analysis: Finding the Empirical FormulaOrganic sample+ excess O2, burnCO2 measuredH2O measuredC = CO2 x 12/44H = H2O x 2/18O = sample - (C + H) [by difference]moles = mass/atomic mass -> divide by smallest -> ratio
Burning gives CO2 and H2O; convert these to grams of C and H, find O by difference, then turn masses into a mole ratio to get the empirical formula.

Your doubts, answered

How do I get the mass of carbon from the CO2 produced?

Every CO2 molecule has exactly one carbon atom. So mass of C = mass of CO2 x (12/44), because the molar mass of CO2 is 44 g and carbon is 12 g of that. Example: 0.88 g of CO2 contains 0.88 x (12/44) = 0.24 g of carbon. This is the key first move in almost every NEET combustion problem.

How do I get the mass of hydrogen from the H2O produced?

Every H2O molecule has two hydrogen atoms. So mass of H = mass of H2O x (2/18), because water's molar mass is 18 g and the two H atoms weigh 2 g. Example: 0.36 g of H2O contains 0.36 x (2/18) = 0.04 g of hydrogen. Do NOT use 1/18 by accident there are two hydrogens in water.

How do I know if the compound also contains oxygen?

Add up the mass of C and the mass of H you found. If this total is LESS than the mass of the original sample, the missing mass is oxygen. Mass of O = sample mass minus (mass C + mass H). You cannot get oxygen straight from CO2 or H2O, because that oxygen came from the air you burned it in, not from the compound. This is the single biggest trap in NEET.

Why do I divide all the moles by the smallest one?

The empirical formula is the simplest whole-number ratio of atoms. Dividing every mole value by the smallest one forces the smallest element to become 1, and shows how many times bigger the others are. If the answer comes out like 1 : 2.5, multiply everything by a number (here 2) to clear the decimal, giving 2 : 5.

Is the empirical formula the same as the molecular formula?

No. The empirical formula is only the simplest ratio (like CH2). The molecular formula is the real number of atoms in one molecule (like C4H8). To get the molecular formula you also need the molar mass: divide molar mass by empirical formula mass to get a whole number n, then multiply the empirical formula by n.

What do I do after I have the mass of each element?

Convert each mass to moles by dividing by that element's atomic mass. Then divide all mole values by the smallest. Round to whole numbers (or clear decimals) to get the atom ratio. Write the symbols with those numbers that is your empirical formula.

⚠️ The NEET trap
Taking the oxygen straight from the CO2 and H2O and adding it into the compound's formula.
Find O only by difference: mass of O = sample mass minus (mass of C + mass of H). Oxygen in CO2 and H2O mostly came from the burning air, not the compound.
🧠 CO2 and H2O give you C and H directly. Oxygen is always 'left over' subtract, never read it off the products.

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: Take 100 g of compound: C = 78 g, H = 22 g. Moles of C = 78/12 = 6.5; moles of H = 22/1 = 22. Divide by the smallest (6.5): C = 1, H = 22/6.5 = 3.4, which rounds to 3. Empirical formula = CH3. This uses the same mole-ratio step you apply after converting CO2 and H2O to element masses.
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: C% = 100 - 32 - 20 = 48% (found by difference, exactly like finding oxygen in combustion). Moles: A = 32/64 = 0.5, B = 20/40 = 0.5, C = 48/32 = 1.5. Divide by smallest (0.5): A : B : C = 1 : 1 : 3. Empirical formula = ABC3.

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Frequently asked

What is combustion analysis in simple words?

It is burning a known mass of an organic compound in plenty of oxygen so all carbon turns into CO2 and all hydrogen turns into H2O. You then weigh the CO2 and H2O to work out how much C and H were in the sample.

What is the factor to convert CO2 to carbon and H2O to hydrogen?

Multiply CO2 mass by 12/44 to get carbon. Multiply H2O mass by 2/18 (which is 1/9) to get hydrogen. These fractions come from the molar masses: CO2 = 44 g with 12 g carbon, H2O = 18 g with 2 g hydrogen.

Can I find nitrogen or sulphur from combustion this way?

No, this CO2/H2O method only gives carbon and hydrogen directly. Other elements like N, S, or halogens need separate measurements. Oxygen is found by difference.

Why is combustion analysis important for NEET?

NEET regularly asks empirical-formula questions from Some Basic Concepts of Chemistry. The mole-ratio skill and the 'oxygen by difference' trap appear often, so mastering this method scores easy marks.