Which Sample Has the Maximum Number of Atoms or Molecules?

Chemistry · Some Basic Concepts Of Chemistry · NEET

To find which sample has the most atoms or molecules, change every option into moles first, then multiply by the number of atoms in one unit. More moles (times atoms per unit) means more atoms. Memory hook: "Moles first, atoms later" - never compare grams directly.
Steps to Find Maximum Atoms or MoleculesStep 1Convert toMOLESStep 2x atoms perunit (atoms only)Step 3Biggest value= WINNERmoles = mass / molar mass | gas: moles = litres / 22.7 (STP) | count = moles x 6.022 x 10^23Rule: never compare grams directly - smaller molar mass gives more atoms
The three-step method: convert every sample to moles, multiply by atoms per unit if the question asks for atoms, then pick the largest value. For the same mass, a smaller molar mass always gives more particles.

Your doubts, answered

Can I just compare the masses (grams) to find which has more atoms?

No. This is the most common mistake. Two samples with the same mass can have very different numbers of atoms. For example, 1 g of lithium has far more atoms than 1 g of silver, because lithium is very light (7 g/mol) and silver is very heavy (108 g/mol). Always convert mass to moles first using moles = mass / molar mass. Never compare grams directly.

What are the exact steps to solve these questions?

Step 1: Convert every option to moles. Use moles = mass / molar mass for a mass, moles = volume / 22.7 L for a gas at STP, or use the mole value if it is already given. Step 2: Multiply moles by Avogadro number (6.022 x 10^23) only if you need the actual count. Step 3: For ATOMS, also multiply by the number of atoms in one molecule or formula unit. The biggest final value wins.

What does 'atoms per formula unit' or 'atoms per molecule' mean?

It is how many atoms are inside one molecule or one formula unit. O2 has 2 atoms. Li is monatomic, so 1 atom. H2 has 2 atoms. CO2 has 3 atoms (1 C + 2 O). Na2CO3 has 6 atoms (2 Na + 1 C + 3 O). NaOH has 3 atoms. When the question asks for MOLECULES you skip this step. When it asks for ATOMS you must include it.

Why does a smaller molar mass give more atoms for the same mass?

Because moles = mass / molar mass. If the mass is fixed (say 1 g), a smaller molar mass in the bottom of the fraction gives a bigger number of moles, and more moles means more particles. That is why for 'which 1 g sample has the most atoms', the lightest monatomic element wins. In NEET 2020, 1 g of Li (molar mass 7) beat O2, Ag and Mg.

How do I handle a gas given in litres?

Convert litres to moles first. At STP, 1 mole of any gas takes 22.7 L (the older value is 22.4 L; NEET now uses 22.7 L, so read the numbers in the option). So moles = volume in litres / 22.7. In NEET 2024, 2.271 L of helium at STP = 0.1 mole, which was much smaller than 4 moles of helium.

The question gives moles, grams, litres and 'u' all mixed. How do I compare?

Bring every option to the same unit: moles (or number of particles). A value in atomic mass units (u) is a trap - 4 u of helium is just 1 single atom, not a mole. In NEET 2024, '4 u of helium' equals only 1 atom while '4 mol of helium' equals 4 x Avogadro atoms, the maximum.

⚠️ The NEET trap
Picking the option with the largest mass in grams (for example choosing 1 g of Ag over 1 g of Li because Ag feels 'more').
Convert to moles first: moles = mass / molar mass, then multiply by atoms per unit. 1 g of Li (7 g/mol, monatomic) gives the most atoms because it has the smallest molar mass.
🧠 NEET 2020 tested exactly this. Grams look equal (all 1 g) but atoms are not. Molar mass decides. Lightest monatomic species wins.

Real NEET questions

2020

Which one of the following has the maximum number of atoms? (at. masses: O = 16, Li = 7, Ag = 108, Mg = 24)

A · 1 g of O2(g)
B · 1 g of Li(s)
C · 1 g of Ag(s)
D · 1 g of Mg(s)
Solution: Number of atoms = (mass / molar mass) x NA x (atoms per unit). For a fixed 1 g, the smallest molar mass per atom gives the most atoms. Li (7 g/mol, monatomic) has the lowest atomic mass, so 1 g of Li gives the maximum number of atoms. Check: Li = (1/7) x NA = 0.143 NA; O2 = (1/32) x 2 x NA = 0.0625 NA; Mg = (1/24) NA = 0.042 NA; Ag = (1/108) NA = 0.009 NA.
2018

In which of the following is the number of water molecules maximum?

A · 0.00224 L of water vapour at 1 atm and 273 K
B · 0.18 g of water
C · 18 mL of water
D · 10^-3 mol of water
Solution: Convert each to moles (molecules = n x NA). A: 0.00224/22.4 = 10^-4 mol. B: 0.18/18 = 10^-2 mol. C: 18 mL x 1 g/mL = 18 g = 18/18 = 1 mol (largest). D: 10^-3 mol. So 18 mL of water has the most molecules.
2024

The highest number of helium atoms is present in

A · 4 u of helium
B · 4 g of helium
C · 2.271098 L of helium at STP
D · 4 mol of helium
Solution: A: 4 u = 1 atom (He atomic mass = 4 u). B: 4/4 = 1 mol = NA atoms. C: 2.271098/22.71098 = 0.1 mol = 0.1 NA atoms (molar volume at STP = 22.71 L). D: 4 mol = 4 NA atoms (largest). So 4 mol of helium has the highest number of atoms.

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Frequently asked

What is the one rule to solve 'maximum number of atoms' questions?

Always convert each option to moles first, then multiply by atoms per molecule or formula unit. The largest result has the most atoms. Never compare grams directly.

Is 22.4 L or 22.7 L correct for molar volume at STP?

NEET now uses 22.7 L per mole at STP (0 degrees C, 1 bar). The old value 22.4 L is for 1 atm. Read the numbers in the option - NEET usually writes them so the answer is clear either way.

Why did 1 g of Li win in NEET 2020?

Because lithium has the smallest molar mass (7 g/mol) and is monatomic. Smaller molar mass means more moles for the same 1 g, and monatomic means every particle is one atom, so it gives the maximum atoms.

Do 'atoms' and 'molecules' questions use the same method?

Almost. For molecules, stop at moles x NA. For atoms, do one more step: multiply by the number of atoms in one molecule or formula unit (O2 = 2, CO2 = 3, Na2CO3 = 6).

What is a common trap in these questions?

A value written in 'u' (atomic mass units) is not a mole. For example 4 u of helium is just 1 single atom. Also do not assume equal mass means equal atoms.