Osmotic Pressure

8 MCQs2 revision cards9-step worked example
Source: NCERT SolutionsPYQ coverage: NEET 2021, 2022, 2023, 2024, 2025Official key: NTA-verifiedLast reviewed: May 2026

Lesson

Osmotic pressure is the colligative property NEET uses to test whether you can handle unit conversions and the gas-equation-style formula π = CRT — and whether you forget to apply the Van't Hoff factor for electrolytes.

What is osmotic pressure? When a semipermeable membrane separates a solution from pure solvent, solvent molecules flow into the solution (osmosis). The minimum pressure that must be applied on the solution side to prevent this flow is the osmotic pressure, π (NCERT Class 12 Chemistry Chapter 1, page 22).

The formula:

π = CRT

where C is the molar concentration (mol/L) of the solute, R is the gas constant, and T is the absolute temperature in kelvin. For a known mass W of solute with molar mass M dissolved in V litres of solution, this becomes π = (W/M)(RT/V).

Why NEET favours this property: Osmotic pressure is measurable at room temperature, requires no heating/cooling, and is the preferred method for determining molar masses of biomolecules (proteins, polymers). The calculation is typically a two-step direct application — compute C from given mass data, then substitute into π = CRT.

The high-frequency trap: unit mismatch. The common distractor in NEET osmotic-pressure problems exploits unit confusion — mixing atmospheres with pascals, or litres with cubic metres. If R = 0.0821 L atm mol⁻¹ K⁻¹, then V must be in litres and π comes out in atm. If R = 8.314 J mol⁻¹ K⁻¹, then V must be in m³ and π comes out in Pa. Picking the wrong R-value combination gives you a distractor, not the answer.

For electrolytes: Multiply by the Van't Hoff factor i. If the solute is NaCl (i ≈ 2), the observed osmotic pressure is roughly double the value calculated assuming a non-electrolyte.

Watch-out: When a problem gives you mass in grams and volume in mL, convert both before substituting. NEET distractors are built from the answer you get when you skip one conversion.


Practice MCQs

Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.

MCQ 1Easy RecallPractice

Osmotic pressure of a solution depends on which of the following?

MCQ 2Easy RecallPractice

The formula for osmotic pressure of a dilute solution of a non-electrolyte is:

MCQ 3Easy RecallPractice

Osmotic pressure measurement is preferred over other colligative properties for determining the molar mass of proteins because:

MCQ 4Direct ApplicationPractice

6.0 g of urea (molar mass = 60 g/mol) is dissolved in 500 mL of solution at 300 K. The osmotic pressure is (R = 0.0821 L atm mol⁻¹ K⁻¹):

MCQ 5Direct ApplicationPractice

At 27 °C, the osmotic pressure of a solution containing 3.42 g of sucrose (molar mass = 342 g/mol) in 250 mL of solution is (R = 0.0821 L atm mol⁻¹ K⁻¹):

MCQ 6Direct ApplicationPractice

The osmotic pressure of a 0.10 M NaCl solution at 300 K is approximately (R = 0.0821 L atm mol⁻¹ K⁻¹, assume complete dissociation):

MCQ 7Concept TrapPractice

Two solutions — one of urea and one of NaCl — are prepared with the same molar concentration. Which will show higher osmotic pressure?

MCQ 8CalculationPractice

A solution contains 1.80 g of an unknown non-electrolyte dissolved in 200 mL of solution. At 27 °C, the osmotic pressure is 2.46 atm. The molar mass of the solute is (R = 0.0821 L atm mol⁻¹ K⁻¹):

Quick recall before you leave

Worked Example

Pattern: Determine molar mass from observed osmotic pressure (pattern NEET pattern: osmotic pressure problem).

  1. 1

    Given

    A solution is prepared by dissolving 2.50 g of an unknown non-electrolyte in 200.0 mL of solution. At 25 °C, the osmotic pressure is measured as 3.08 atm. R = 0.0821 L atm mol⁻¹ K⁻¹.

  2. 2

    Required

    Find the molar mass M of the solute.

  3. 3

    Concept

    For a dilute solution of a non-electrolyte, osmotic pressure is given by π = CRT, where C = (W/M)/V. Rearranging: M = WRT/(πV).

  4. 4

    Formula

    M = WRT / (πV)

  5. 5

    Substitution

    W = 2.50 g, R = 0.0821 L atm mol⁻¹ K⁻¹, T = 25 + 273 = 298 K, π = 3.08 atm, V = 200.0 mL = 0.2000 L. M = (2.50 × 0.0821 × 298) / (3.08 × 0.2000)

  6. 6

    Calculation

    Numerator: 2.50 × 0.0821 = 0.20525; 0.20525 × 298 = 61.165 Denominator: 3.08 × 0.2000 = 0.6160 M = 61.165 / 0.6160 = 99.3 g/mol Note on exact values: The temperature conversion (adding 273) and the volume conversion factor (÷1000) are exact operations. R = 0.0821 and π = 3.08 are given data — the answer is limited by the precision of these inputs (3 significant figures).

  7. 7

    Final answer

    M ≈ 99 g/mol (3 significant figures, consistent with the precision of the given data).

  8. 8

    Common trap

    The most common error: using V = 200 (in mL) directly instead of converting to 0.2000 L. This gives M = 61.165/616 = 0.0993, which is absurdly small and should immediately signal a unit mismatch. NEET distractors exploit exactly this kind of forgotten mL → L conversion.

  9. 9

    Similar NEET-style question

    A 1.20 g sample of a protein is dissolved in 100.0 mL of water. The osmotic pressure at 27 °C is 0.0821 atm. What is the molar mass of the protein? (R = 0.0821 L atm mol⁻¹ K⁻¹) *Approach:* M = WRT/(πV) = (1.20 × 0.0821 × 300)/(0.0821 × 0.1000) = 29.556/0.00821 ≈ 3600 g/mol — a realistic value for a small protein, confirming that osmotic pressure is the go-to method for biomolecule molar mass determination. ---

Before solving, remember these

π = CRT = (n/V)RT = (W/M)·(RT/V), where C = molarity. Used for biomolecules (proteins) where small concentration produces measurable π.

-- NCERT Class 12 Chemistry, Ch. 1, p. 22

Formulas

Molality

Molal concentration: moles of solute per kg of solvent. Temperature-independent.

SymbolQuantitySI Unit
mmolalitymol/kg
nmoles solutemol

Valid when

  • Mass of SOLVENT (not solution)

Molarity

Molar concentration: moles of solute per litre of solution.

SymbolQuantitySI Unit
Mmolaritymol/L
nmoles solutemol
Vsolution volumeL

Valid when

  • Volume of SOLUTION not solvent
  • Temperature dependent (volume changes with T)

Boiling-point elevation

Solute raises boiling point. K_b is ebullioscopic constant of solvent (water: 0.52 K kg/mol).

SymbolQuantitySI Unit
ΔT_bBP elevationK
K_bebullioscopic constantK kg/mol
mmolalitymol/kg

Valid when

  • Dilute solution
  • Non-electrolyte

Freezing-point depression

Solute lowers freezing point. K_f is cryoscopic constant of solvent (water: 1.86 K kg/mol). Used for molar mass determination.

SymbolQuantitySI Unit
ΔT_fFP depressionK
K_fcryoscopic constantK kg/mol
mmolalitymol/kg

Valid when

  • Dilute solution
  • Non-electrolyte (else multiply by i)

Osmotic pressure

Pressure required to prevent osmosis. C in mol/L; T in K. Used for high-molar-mass biomolecules.

SymbolQuantitySI Unit
πosmotic pressurePa
Cmolaritymol/L
Rgas constantJ/mol/K
TtempK

Valid when

  • Dilute solution
  • Semipermeable membrane separating pure solvent from solution

Raoult's law

Total vapor pressure of ideal solution = sum of mole-fraction-weighted vapor pressures of components.

SymbolQuantitySI Unit
ptotal vapor pressurePa
p_i°pure component vpPa
x_imole fraction-

Valid when

  • Ideal solution
  • Both volatile

Relative lowering of VP

For non-volatile solute: relative lowering of VP equals mole fraction of solute.

SymbolQuantitySI Unit
psolution vpPa
pure solvent vpPa
x_solutemole fraction-

Valid when

  • Non-volatile solute
  • Dilute solution
  • Non-electrolyte (else use i)

Van't Hoff factor

Correction factor for electrolytes. NaCl: i≈2; CaCl₂: i≈3. Multiply colligative formula by i.

SymbolQuantitySI Unit
iVan't Hoff factor-

Valid when

  • Electrolyte solution
  • Account for ion-pair association/dissociation

Exam Traps & Common Mistakes

These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.

Category: Similar Terms

Student uses mass fraction (w₁/total mass) where mole fraction (n₁/total moles) is required.

When it triggers

Question gives masses or molar masses and asks about Raoult's law or vapor pressure.

How to avoid

Raoult's law uses MOLE fractions, not mass fractions. Convert mass to moles first using molar mass.

Category: Similar Terms

Student uses non-electrolyte colligative formula for ionic compound. NaCl: i ≈ 2; CaCl₂: i ≈ 3.

When it triggers

Question gives an ionic compound (NaCl, CaCl₂, K₂SO₄) and asks for colligative property.

How to avoid

For electrolytes, multiply colligative formula by Van't Hoff factor i. NaCl → Na⁺ + Cl⁻ (i=2). CaCl₂ → Ca²⁺ + 2Cl⁻ (i=3). K₂SO₄ → 2K⁺ + SO₄²⁻ (i=3).

Past Year Questions

9 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.

NEET 2024Revised key

Given below are two statements: Statement I: The boiling point of hydrides of Group 16 elements follow the order H O > H Te > H Se > H S. 2 2 2 2 Statement II: On the basis of molecular mass, H O is expected to have lower boiling point than the other 2 members of the group but due to the presence of extensive H-bonding in H O, it has higher boiling point. 2 In the light of the above statements, choose the correct answer from the options given below:

1Both Statement I and Statement II are true
2Both Statement I and Statement II are false
3Statement I is true but Statement II is false
4Statement I is false but Statement II is true
NTA Answer: Option 1(revised_final)
NEET 2023

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : Helium is used to dilute oxygen in diving apparatus. Reason R : Helium has high solubility in O . 2 In the light of the above statements, choose the correct answer from the options given below

1Both A and R are true and R is NOT the correct explanation of A
2A is true but R is false
3A is false but R is true
4Both A and R are true and R is the correct explanation of A
NTA Answer: Option 2(final)

How NEET usually asks this

Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.

Sources

NCERT refs: Class 12 Chemistry Chapter 1, p.22

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