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⚗️ Chemistry · Class 11 · Chapter 1 · NCERT kech101

Some Basic Concepts of Chemistry

The mole concept, stoichiometry, limiting reagent and concentration terms — the arithmetic engine behind every numerical in Physical Chemistry. Master this chapter and half of Equilibrium, Electrochemistry and Kinetics calculations come pre-solved.

1🗓️ How to Study

NEET weightage: 1–2 direct questions (mole concept, limiting reagent, molarity) — but its real value is indirect: every stoichiometry step in every other chapter uses these tools. Errors here leak marks across the whole paper.

Day 1 — Mole Concept

Mole ↔ mass ↔ particles ↔ gas volume conversions. 15 drill conversions until they take 20 seconds each.

Day 2 — Laws & Formulae

Five laws of chemical combination, empirical vs molecular formula, % composition. 8 problems.

Day 3 — Stoichiometry

Balanced-equation ratios, limiting reagent, % yield. 10 problems — always identify the limiting reagent first.

Day 4 — Concentration

Molarity, molality, mole fraction, ppm, dilution (M₁V₁ = M₂V₂), mixing. 10 problems.

Day 5 — Mock 🧪

Timed 20-question chapter test. Wrong answers → error notes.

2📚 Topic Map

BlockWhat it containsNEET priority
1 · Matter & measurementClassification (element/compound/mixture), SI units in chemistry, significant figuresLow — read once
2 · Laws of chemical combinationConservation of mass, definite & multiple proportions, Gay-Lussac (volumes), AvogadroMedium — statement questions
3 · Atomic & molecular massamu/u, average atomic mass from isotopes, molecular vs formula massMedium
4 · Mole conceptn = m/M, N/N_A, V/22.4 L at STP — the conversion triangleHighest
5 · % composition & formulaeMass %, empirical formula from %, molecular = (empirical)ₙHigh
6 · Stoichiometry & limiting reagentMole ratios from balanced equations, limiting reagent, yieldHighest
7 · Concentration termsMolarity, molality, mole fraction, mass %, ppm, dilutionHighest

3🧠 Concepts

1 · The mole — chemistry's counting unit core

1 mole = 6.022 × 10²³ particles (Avogadro number, NA) = the number of atoms in exactly 12 g of ¹²C. One mole of any gas at STP (0 °C, 1 bar) occupies 22.7 L (older STP 1 atm: 22.4 L — NEET still commonly uses 22.4).

The four doors into moles: n = m/M (mass), n = N/N_A (particles), n = V/22.4 (gas at STP), n = MV (solution, M in mol/L, V in L).

2 · Laws of chemical combination

  • Conservation of mass (Lavoisier) — mass is neither created nor destroyed.
  • Definite proportions (Proust) — a compound always contains the same elements in the same mass ratio.
  • Multiple proportions (Dalton) — two elements forming several compounds: masses of one combining with a fixed mass of the other are in small whole-number ratios (CO vs CO₂ → 1:2 oxygen).
  • Gay-Lussac's law of gaseous volumes — gases react in simple volume ratios (same T, P).
  • Avogadro's law — equal volumes of gases (same T, P) contain equal numbers of molecules.

3 · Atomic mass, average atomic mass, molecular mass

1 u = 1/12 mass of a ¹²C atom = 1.66 × 10⁻²⁴ g. Average atomic mass = Σ(fractional abundance × isotope mass) — why Cl is 35.5. Formula mass is used for ionic solids (NaCl) since no discrete molecule exists.

4 · Empirical vs molecular formula

Empirical = simplest whole-number ratio; molecular = actual atoms. Molecular formula = (empirical formula) × n, where n = molar mass / empirical formula mass. From % composition: divide each % by atomic mass → divide all by the smallest → multiply to whole numbers.

5 · Limiting reagent exam favourite

The reactant that runs out first and decides the product amount. Test: divide moles of each reactant by its coefficient — the smallest quotient is the limiting reagent. All product calculations flow from it; the other reactant is "in excess".

6 · Concentration terms — the full ladder

  • Molarity M = moles solute / litre of solution — changes with temperature (volume expands).
  • Molality m = moles solute / kg of solvent — temperature-independent.
  • Mole fraction x = n₁/(n₁+n₂) — fractions sum to 1, unitless.
  • Mass % = (mass solute/mass solution) × 100 · ppm = (mass solute/mass solution) × 10⁶.

Molality and mole fraction use solvent/total moles; molarity alone uses solution volume — this asymmetry is the exam's favourite hiding place.

7 · Dilution and mixing

Dilution: M₁V₁ = M₂V₂ (moles of solute conserved). Mixing two solutions of the same solute: M = (M₁V₁ + M₂V₂)/(V₁ + V₂). For reactions between solutions, convert both to moles first, then apply the limiting-reagent test.

4🧮 Formula Bank

SituationFormulaNote
Moles from massn = m / MM = molar mass g/mol
Moles from particlesn = N / NAN_A = 6.022×10²³
Moles of gas at STPn = V / 22.4 L22.7 L at 1 bar STP
Moles in solutionn = M × V(L)M = molarity
Average atomic massΣ(abundance × mass)abundances as fractions
Mass % of element(n × atomic mass / molar mass) × 100n = atoms per formula
Molecular formula(Empirical)ₙ, n = M / EF massn is a whole number
MolarityM = n / V(solution, L)temp-dependent
Molalitym = n / kg(solvent)temp-independent
Mole fractionx₁ = n₁/(n₁+n₂) · x₁+x₂ = 1unitless
ppm(mass solute / mass solution) × 10⁶dilute aqueous: 1 ppm ≈ 1 mg/L
DilutionM₁V₁ = M₂V₂solute moles fixed
Mixing same soluteM = (M₁V₁+M₂V₂)/(V₁+V₂)volumes additive assumed
% yield(actual / theoretical) × 100theoretical from limiting reagent
Molarity from mass % (d = density g/mL)M = (10 × mass% × d) / Msolutethe "10xd" shortcut

5📋 Formula Sheet — one glance before the exam

Mole doors
n = m/M = N/N_A = V/22.4
mass · particles · gas
Solution door
n = M·V(L)
molarity × litres
Limiting reagent
min( nᵢ / coefficientᵢ )
smallest quotient limits
Dilution
M₁V₁ = M₂V₂
works for any units of V (same both sides)
Mass% → Molarity
M = 10·x·d / M_solute
x = mass %, d in g/mL
Empirical → Molecular
n = M / EF mass
multiply subscripts by n
Molality
m = n / kg solvent
NOT solution
Mole fractions
Σxᵢ = 1
binary: x₂ = 1 − x₁

6🧩 Problem Types — the 10 ways NEET asks this chapter

T1 · Straight mole conversion

"How many molecules in 4.4 g CO₂?" → n = 4.4/44 = 0.1 → 6.022 × 10²². Twenty seconds.

T2 · Count atoms, not molecules

"Atoms in 0.1 mol CO₂" → 3 atoms per molecule → 0.3 × N_A. Read what particle is asked.

T3 · Average atomic mass from isotopes

Weighted mean; or reverse — find abundance given the average.

T4 · Empirical formula from % composition

%→ divide by atomic mass → ÷ smallest → whole numbers. Then n = M/EF mass for molecular.

T5 · Limiting reagent + product amount

Moles ÷ coefficient for each reactant; the smallest wins; product from its ratio.

T6 · Mass–mass stoichiometry

g A → mol A → (ratio) → mol B → g B. Never jump grams-to-grams directly.

T7 · Molarity / molality / mole-fraction interconversion

Need density to cross between M and m. Fix a basis (1 L solution or 1 kg solvent) and rebuild.

T8 · Dilution and mixing

M₁V₁ = M₂V₂; mixing → total moles / total volume.

T9 · Concentrated-acid bottle question

Given mass % and density, find molarity: M = 10xd/M. (98% H₂SO₄, d = 1.84 → 18.4 M — memorise this one.)

T10 · Law identification

Statement → which law? CO/CO₂ ratios → multiple proportions; gas volume ratios → Gay-Lussac.

7📈 Graphs & Visuals

G1 · The mole-concept conversion wheel

MOLES n Mass (g)÷ M ↔ × M Particles (N)÷ N_A ↔ × N_A Gas volume STP÷ 22.4 L ↔ × 22.4 L Solution (M, V)n = M × V(L)

Every numerical in this chapter is two hops on this wheel: convert INTO moles, do the chemistry (ratios), convert OUT. Never convert mass→particles directly.

G2 · Limiting reagent — the smaller quotient wins

N₂ + 3H₂ → 2NH₃ · given 2 mol N₂ and 3 mol H₂ N₂: 2 ÷ 1 = 2.0 H₂: 3 ÷ 3 = 1.0 ✓ SMALLER → limiting NH₃ formed = 1.0 × 2 = 2 mol larger → in excess left over: 2 − 1 = 1 mol N₂ divide by the COEFFICIENT, not by the other reactant's moles

The quotient n/coefficient is "how many full runs of the equation each reactant can feed". The smallest number of runs is all you get.

G3 · Molarity vs molality — what sits in the denominator

MOLARITY solute ÷ LITRES of whole SOLUTION shrinks when heated (V grows) MOLALITY solute ÷ KILOGRAMS of SOLVENT only mass never changes with T

M lives in the solution's volume; m lives in the solvent's mass. Every trick question in concentration terms exploits students who blur this line.

8🔢 Standard Values

ValueRemember
Avogadro number NA6.022 × 10²³ mol⁻¹
Molar gas volume22.4 L (STP, 1 atm) · 22.7 L (1 bar) — NEET usually 22.4
1 u (amu)1.66 × 10⁻²⁴ g = 1/N_A g
Common molar massesH₂O 18 · CO₂ 44 · NH₃ 17 · H₂SO₄ 98 · NaOH 40 · CaCO₃ 100 · glucose 180
Conc. H₂SO₄ (98%, d 1.84)18.4 M
Conc. HCl (36.5%, d ≈ 1.18)≈ 11.8 M
1 ppm (dilute aqueous)≈ 1 mg per litre
Cl average atomic mass35.5 (75% ³⁵Cl + 25% ³⁷Cl)

9⚡ Shortcuts

S1 · The 10xd bridge.

Mass % (x) + density (d, g/mL) → molarity in one line: M = 10xd / M_solute. No basis-building needed.

S2 · Quotient test for limiting reagent.

n ÷ coefficient for each reactant, smallest wins. Faster and safer than "how much B does A need".

S3 · % of element without full analysis.

% X = (atoms of X × atomic mass ÷ molar mass) × 100. For N in urea NH₂CONH₂: 28/60 ≈ 46.7%.

S4 · Equal masses of gases → moles compare inversely with M.

1 g each of H₂, He, CH₄: most moles (and molecules) in H₂ (M smallest). No calculation needed for ranking questions.

S5 · Same volume + same conditions = same molecules (Avogadro).

Comparisons of "number of molecules in 1 L of X vs Y at STP" are always EQUAL — mass differs, count doesn't.

S6 · Water's magic numbers.

1 mol H₂O = 18 g = 18 mL (d≈1) = 6.022×10²³ molecules. 1 L water ≈ 55.5 mol — the instant mole-fraction denominator for dilute aqueous solutions.

10⚠️ Traps

T1 · Molality uses solvent, molarity uses solution.

"500 g of water" vs "500 mL of solution" are different denominators. Underline which one the question gives.

T2 · Atoms vs molecules vs ions.

0.5 mol O₂ = 0.5 N_A molecules but 1.0 N_A atoms. CaCl₂ gives 3 ions per formula unit. Count the particle actually asked.

T3 · STP volume only for gases.

22.4 L/mol applies to gases at STP — never to liquids or solids, and not to gases at room temperature (that's ≈24.5 L).

T4 · Limiting reagent ≠ smaller mass.

The reagent present in fewer grams may still be in excess if its molar mass is small or coefficient large. Only the quotient test decides.

T5 · M₁V₁ = M₂V₂ only for dilution/same solute.

For a reaction (acid + base), use n = MV with the stoichiometric ratio — the shortcut equation silently assumes a 1:1 ratio.

T6 · Mass % of solution vs of solute.

10% (w/w) glucose = 10 g glucose per 100 g SOLUTION (i.e., 90 g water) — not per 100 g water.

T7 · Empirical multiplier must be whole.

If n = M/EF mass comes out 1.98, that's 2 (rounding of atomic masses) — but 1.5 means your empirical formula was wrong: re-scale (×2) first.

T8 · Definite vs multiple proportions.

One compound, fixed ratio → definite. Two+ compounds of same elements → multiple. Statement questions swap them.

T9 · Molarity changes with temperature; molality and mole fraction don't.

Any "temperature-independent concentration term" answer = molality or mole fraction, never molarity/normality.

T10 · Average atomic mass is an average — no atom weighs 35.5 u.

Cl-35.5 reflects the isotope mixture; assertion-reason items exploit this.

11🧵 Mnemonics

M1 · "Molality = solvent's loyalty"

The two L's: molaLity → per kiLogram of soLvent. Molarity (R) → litRe of solution.

M2 · Mole doors — "My New Van Sells"

Mass/M · N/N_A · V/22.4 · Solution M×V — the four ways into n.

M3 · Laws order — "Con-Def-Mul-Gay-Avo"

Conservation → Definite → Multiple → Gay-Lussac → Avogadro: mass laws first, gas laws last.

M4 · Limiting reagent — "divide by the recipe"

The balanced equation is a recipe; n/coefficient = servings each ingredient can make. Fewest servings limits dinner.

M5 · 10xd — "ten times d"

Say it as one word: mass%-to-molarity = "ten-ex-dee over M".

12🚨 Exceptions — the odd ones out NEET loves

E1 · Cl = 35.5 — the famous non-whole atomic mass.

Isotope averaging; no chlorine atom has that mass. Similar: Cu 63.5.

E2 · Ionic compounds have formula mass, not molecular mass.

There is no "NaCl molecule" in the crystal — the term molecular mass is technically wrong for ionic solids.

E3 · Two STPs exist.

Old: 0 °C, 1 atm → 22.4 L. IUPAC: 0 °C, 1 bar → 22.7 L. NCERT mentions both; NEET questions state which (default 22.4).

E4 · Law of definite proportions fails for isotopically different samples.

H₂O from ¹H vs ²H (heavy water) has different mass ratios — the classic stated exception.

E5 · Gay-Lussac's volume law applies only to gases.

Reactions involving liquids/solids don't obey simple volume ratios.

E6 · Mole fraction has no unit and no temperature dependence — but changes on adding ANY component.

Adding more solvent changes x of everything, unlike molality of the original solute pair.

E7 · Volumes are not always additive.

Mixing 50 mL ethanol + 50 mL water gives < 100 mL. M = (M₁V₁+M₂V₂)/(V₁+V₂) assumes ideal additivity — flagged in careful questions.

13🔥 Most-Asked in NEET

Asked patternFrequencyReady answer
Number of molecules/atoms in a given massAlmost every alternate yearmass → n → × N_A (× atoms per molecule)
Limiting reagent with 2 reactantsHighquotient test, product from limiting
Molarity of concentrated acid from % + densityHighM = 10xd/M (H₂SO₄ → 18.4 M)
Empirical formula from % compositionMedium÷ atomic mass → ÷ smallest → ×n
Temperature-independent concentration termsMediummolality & mole fraction
Equal masses / equal volumes gas comparisonsMediummoles ∝ 1/M · Avogadro equal-count
Which law does the data illustrateLow-mediumCon-Def-Mul-Gay-Avo ladder

14🎯 Assertion–Reason Drill

Mark: (a) both true, R explains A · (b) both true, R doesn't explain A · (c) A true, R false · (d) A false, R true.

A: One mole of O₂ and one mole of O₃ contain the same number of molecules.

R: One mole of any substance contains Avogadro's number of constituent particles.

Answer
(a) — both true, R is the exact reason. (Atoms would differ: 2N_A vs 3N_A.)

A: Molality of a solution does not change on heating.

R: Molality involves only masses, which are temperature-independent.

Answer
(a) — both true, R explains A.

A: The reagent present in the smallest mass is always the limiting reagent.

R: The limiting reagent is fully consumed first in a reaction.

Answer
(d) — A is false (depends on moles ÷ coefficient, not mass); R is true.

A: Atomic mass of chlorine, 35.5, shows that a chlorine atom is heavier than 35 u.

R: 35.5 is the weighted average of ³⁵Cl and ³⁷Cl abundances; individual atoms have masses ≈35 or ≈37 u.

Answer
(d) — A false as stated (some atoms are 35 u), R true.

A: 22.4 L of N₂ and 22.4 L of CO₂ at STP contain equal numbers of molecules.

R: Avogadro's law states equal volumes of gases at the same T and P contain equal numbers of molecules.

Answer
(a) — both true, R explains A.