Osmotic pressure
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. 22Osmotic 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.
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
Osmotic pressure of a solution depends on which of the following?
The formula for osmotic pressure of a dilute solution of a non-electrolyte is:
Osmotic pressure measurement is preferred over other colligative properties for determining the molar mass of proteins because:
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):
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):
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):
Two solutions — one of urea and one of NaCl — are prepared with the same molar concentration. Which will show higher osmotic pressure?
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):
Pattern: Determine molar mass from observed osmotic pressure (pattern NEET pattern: osmotic pressure problem).
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.
Required
Find the molar mass M of the solute.
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).
Formula
M = WRT / (πV)
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)
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).
Final answer
M ≈ 99 g/mol (3 significant figures, consistent with the precision of the given data).
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.
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. ---
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. 22Molal concentration: moles of solute per kg of solvent. Temperature-independent.
| Symbol | Quantity | SI Unit |
|---|---|---|
| m | molality | mol/kg |
| n | moles solute | mol |
Molar concentration: moles of solute per litre of solution.
| Symbol | Quantity | SI Unit |
|---|---|---|
| M | molarity | mol/L |
| n | moles solute | mol |
| V | solution volume | L |
Solute raises boiling point. K_b is ebullioscopic constant of solvent (water: 0.52 K kg/mol).
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔT_b | BP elevation | K |
| K_b | ebullioscopic constant | K kg/mol |
| m | molality | mol/kg |
Solute lowers freezing point. K_f is cryoscopic constant of solvent (water: 1.86 K kg/mol). Used for molar mass determination.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔT_f | FP depression | K |
| K_f | cryoscopic constant | K kg/mol |
| m | molality | mol/kg |
Pressure required to prevent osmosis. C in mol/L; T in K. Used for high-molar-mass biomolecules.
| Symbol | Quantity | SI Unit |
|---|---|---|
| π | osmotic pressure | Pa |
| C | molarity | mol/L |
| R | gas constant | J/mol/K |
| T | temp | K |
Total vapor pressure of ideal solution = sum of mole-fraction-weighted vapor pressures of components.
| Symbol | Quantity | SI Unit |
|---|---|---|
| p | total vapor pressure | Pa |
| p_i° | pure component vp | Pa |
| x_i | mole fraction | - |
For non-volatile solute: relative lowering of VP equals mole fraction of solute.
| Symbol | Quantity | SI Unit |
|---|---|---|
| p | solution vp | Pa |
| p° | pure solvent vp | Pa |
| x_solute | mole fraction | - |
Correction factor for electrolytes. NaCl: i≈2; CaCl₂: i≈3. Multiply colligative formula by i.
| Symbol | Quantity | SI Unit |
|---|---|---|
| i | Van't Hoff factor | - |
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.
Question gives masses or molar masses and asks about Raoult's law or vapor pressure.
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.
Question gives an ionic compound (NaCl, CaCl₂, K₂SO₄) and asks for colligative property.
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).
Root cause: formula misuse
Convert mass to moles first using molar mass. Raoult uses MOLE fractions.
Root cause: formula misuse
For NaCl i ≈ 2, CaCl₂ i ≈ 3, K₂SO₄ i ≈ 3. Multiply colligative formulas by i.
9 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
Which of the following aqueous solution will exhibit highest boiling point?
The IUPAC name of an element with atomic number 119 is
The structures of beryllium chloride in solid state and vapour phase, are :
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
forgets i factor electrolytes
Uses non-electrolyte formula for ionic solute
forgets conversion of units
Mixes Pa with atm; L with m^3
uses mass fractions not mole
Substitutes mass fraction for x
Test yourself on this topic with real past-paper questions:
Practice this topic →Get a structured 30-day study plan and a complete formula booklet — delivered to your inbox instantly.