Topics
10Solution Basics and Types of Solutions
Overview
A solution is a homogeneous mixture of two or more substances whose composition is uniform throughout. The component present in smaller amount is generally called solute, while the component present in larger amount is solvent. Solutions may be solid, liquid or gaseous depending on the physical state of solvent and solute. NEET questions often test classification, saturation, and the difference between true solutions, suspensions and colloids. A saturated solution contains maximum solute at a given temperature, an unsaturated solution can dissolve more solute, and a supersaturated solution contains more solute than normally possible and is unstable. Understanding these basics is essential before learning concentration, vapour pressure and colligative properties.
- 1The terms solute and solvent are relative; in aqueous solutions, water is usually the solvent.
- 2A true solution has uniform composition and particles cannot be separated by ordinary filtration.
- 3Saturation depends strongly on temperature and pressure.
- 4Supersaturation is a metastable condition useful in crystallization.
- 5NEET frequently asks examples of solid-solid, gas-liquid and liquid-liquid solutions.
Solvent Sets the State
Remember: the solvent usually decides whether the solution is solid, liquid or gas.
Saturation Ladder
Unsaturated = wants more, saturated = full, supersaturated = overfull and unstable.
Daily Life Solution
Salt water is a solid-in-liquid solution where sodium chloride is solute and water is solvent.
Alloy Example
Brass is a solid solution of zinc in copper.
Confusing solute with smaller volume only
Solute is usually smaller in amount, but in aqueous chemistry water is often called solvent even if quantities are comparable.
Ignoring temperature in saturation
A solution saturated at one temperature may become unsaturated or supersaturated at another temperature.
A symbolic way to remember that a solution is formed when solute particles disperse uniformly in a solvent.
Variables
Solute=Component dissolved, usually present in smaller amount
Solvent=Component that dissolves the solute, usually present in larger amount
Concentration Terms
Overview
Concentration tells how much solute is present in a given amount of solution or solvent. NCERT and NEET use several concentration units because different experiments require different references. Percentage terms are useful for commercial solutions, ppm is used for very dilute solutions such as pollutants, mole fraction is important in vapour pressure and Raoult’s law, molarity is useful in volumetric analysis but changes with temperature, while molality is temperature independent and used in colligative properties. Normality is not emphasized deeply in NCERT but is useful for NEET practice in acid-base and redox calculations. Mastering interconversion between these terms prevents most numerical errors in this chapter.
- 1Always identify whether denominator is solution or solvent.
- 2Use molality for boiling point elevation and freezing point depression.
- 3Use mole fraction for Raoult’s law and partial vapour pressure.
- 41 ppm commonly means 1 mg per kg or 1 mg per L for dilute water solutions.
- 5Temperature affects volume-based units but not mass-based units.
Molarity vs Molality
Molarity has R for litre beaker volume; molality has LAL like kilogram solvent mass.
Denominator Alert
Percent and molarity use solution; molality uses solvent. This single distinction solves many NEET traps.
Mass Percent Example
10 g NaCl in 90 g water gives mass percent = 10/100 × 100 = 10%.
Molarity Example
0.5 mol glucose in 250 mL solution gives M = 0.5/0.25 = 2.0 M.
Using solvent mass in mass percent
Mass percent denominator is mass of solution, not mass of solvent.
Forgetting temperature dependence
Molarity changes with temperature because volume changes; molality does not.
Used to express mass of solute in 100 parts by mass of solution.
Variables
mass of solute=Mass of dissolved substance
mass of solution=Mass of solute plus solvent
Fraction of total moles contributed by component A in a binary solution.
Variables
χA=Mole fraction of component A
nA=Moles of component A
nB=Moles of component B
Moles of solute present in one litre of solution.
Variables
M=Molarity in mol L⁻¹
volume=Total volume of solution in litres
Solubility of Solids and Gases
Overview
Solubility is the maximum amount of solute that can dissolve in a given amount of solvent at a specified temperature and pressure. For solids in liquids, solubility depends mainly on nature of solute-solvent interactions and temperature. If dissolution is endothermic, solubility generally increases with temperature; if exothermic, it may decrease. For gases in liquids, pressure plays a major role and is explained by Henry’s law: solubility of a gas is proportional to its partial pressure above the solution. Gas solubility usually decreases with increase in temperature, which is why warm water holds less dissolved oxygen. This concept is important for scuba diving, carbonated drinks and aquatic life.
- 1Solubility is an equilibrium property and must mention temperature.
- 2Pressure has little effect on solid and liquid solubility but large effect on gas solubility.
- 3Henry’s law applies best for dilute solutions and gases that do not react with solvent.
- 4Deep-sea divers can suffer bends due to dissolved nitrogen escaping rapidly.
- 5Carbonated drinks are bottled under high CO2 pressure.
Gas Rule
Gas likes cold and pressure: cold water and high pressure dissolve more gas.
Henry Constant
Higher KH means gas is harder to dissolve because x = p/KH.
Soft Drink
CO2 is dissolved under high pressure; when bottle is opened pressure decreases and fizz appears.
Warm Lakes
Warm water contains less dissolved oxygen, which can stress aquatic animals.
Wrong KH interpretation
For p = KHx, larger KH means smaller x at same p, so lower solubility.
Applying Henry's law to reacting gases
Henry's law is not directly valid when the gas reacts strongly with solvent.
Partial pressure of a gas above solution is proportional to its mole fraction in solution.
Variables
p=Partial pressure of gas
KH=Henry's law constant
x=Mole fraction of gas in solution
Vapour Pressure and Raoult's Law
Overview
Vapour pressure is the pressure exerted by vapour in equilibrium with its liquid at a given temperature. When a non-volatile solute is added to a volatile solvent, fewer solvent molecules are present at the surface, so vapour pressure decreases. Raoult’s law states that for an ideal solution, partial vapour pressure of each volatile component equals its mole fraction multiplied by vapour pressure of the pure component. For a solution of non-volatile solute in volatile solvent, relative lowering of vapour pressure equals mole fraction of solute. This is the foundation of one colligative property and helps in determining molar mass of solutes.
- 1Raoult’s law is exactly obeyed by ideal solutions.
- 2For volatile components, each component contributes partial vapour pressure.
- 3For non-volatile solute, only solvent contributes to vapour pressure.
- 4Lower vapour pressure leads to higher boiling point.
- 5Mole fraction is the concentration term used in Raoult’s law.
Raoult Reminder
Partial pressure follows its fraction: pA follows χA.
Solute Blocks Surface
Non-volatile solute acts like chairs occupied at the surface, leaving fewer solvent molecules to escape.
Sugar in Water
Sugar is non-volatile, so sugar solution has lower vapour pressure than pure water.
Benzene-Toluene Mixture
Nearly ideal mixture where each component contributes vapour pressure according to mole fraction.
Using molarity in Raoult's law
Raoult’s law uses mole fraction, not molarity or molality.
Forgetting volatile solute contribution
If both components are volatile, total pressure includes vapour pressure of both components.
Partial vapour pressure of A in an ideal solution is proportional to its mole fraction.
Variables
pA=Partial vapour pressure of component A
χA=Mole fraction of component A
pA°=Vapour pressure of pure component A
Total vapour pressure of a binary volatile solution is the sum of partial pressures.
Variables
ptotal=Total vapour pressure
pA=Partial pressure of component A
pB=Partial pressure of component B
Ideal, Non-Ideal Solutions and Azeotropes
Overview
Ideal solutions obey Raoult’s law over the entire composition range and have zero enthalpy and volume change on mixing. This happens when A-B interactions are similar to A-A and B-B interactions, as in benzene-toluene. Non-ideal solutions deviate from Raoult’s law because solute-solvent interactions differ from pure component interactions. Positive deviation occurs when A-B attractions are weaker, causing higher vapour pressure and often minimum boiling azeotropes. Negative deviation occurs when A-B attractions are stronger, causing lower vapour pressure and often maximum boiling azeotropes. Azeotropes are constant-boiling mixtures whose vapour composition equals liquid composition, so they cannot be separated by simple fractional distillation.
- 1Compare A-B interaction with A-A and B-B interactions to predict deviation.
- 2Positive deviation shows endothermic mixing and volume expansion.
- 3Negative deviation shows exothermic mixing and volume contraction.
- 4Ethanol-water forms a minimum boiling azeotrope.
- 5HNO3-water forms a maximum boiling azeotrope.
Positive Means Pressure Up
Positive deviation = positive extra vapour pressure because molecules escape more easily.
Negative Means Net Attraction
Negative deviation has stronger A-B attraction, so molecules are held down and pressure drops.
Positive Deviation
Ethanol and acetone show positive deviation because acetone disrupts ethanol-ethanol hydrogen bonding.
Negative Deviation
Chloroform and acetone show negative deviation due to strong attractive interactions between unlike molecules.
Mixing boiling point direction
Positive deviation gives minimum boiling azeotrope, while negative deviation gives maximum boiling azeotrope.
Calling azeotropes ideal
Azeotropes are non-ideal constant-boiling mixtures, not ideal solutions.
No heat is absorbed or released when ideal solution components mix.
Variables
ΔHmix=Enthalpy change on mixing
Total volume of ideal solution equals sum of component volumes.
Variables
ΔVmix=Volume change on mixing
Colligative Properties: Vapour Pressure, Boiling and Freezing
Overview
Colligative properties depend only on the number of solute particles, not their chemical identity, for dilute solutions. Addition of a non-volatile solute lowers vapour pressure, raises boiling point and lowers freezing point of the solvent. Relative lowering of vapour pressure is directly related to mole fraction of solute. Elevation in boiling point is proportional to molality and uses the ebullioscopic constant Kb. Depression in freezing point is also proportional to molality and uses the cryoscopic constant Kf. These properties are extensively used to determine molar mass of solutes. NEET numericals usually require careful use of molality, solute mass, solvent mass in kg and molar mass.
- 1Colligative properties are best applied to dilute solutions.
- 2Kb and Kf are characteristic constants of solvent, not solute.
- 3Elevation of boiling point occurs because solution vapour pressure reaches atmospheric pressure at higher temperature.
- 4Depression of freezing point occurs because solution has lower chemical potential than pure solvent.
- 5For electrolytes, include van’t Hoff factor i.
Boil Up, Freeze Down
Adding solute makes boiling point go up and freezing point go down.
Kb and Kf Belong to Solvent
K constants are like the solvent’s personality, not the solute’s identity.
Antifreeze
Ethylene glycol lowers freezing point of water in car radiators.
Cooking Salt
Adding salt slightly raises boiling point of water, though household effect is small.
Using mass of solution instead of solvent
Molality uses kg of solvent only, not total solution mass.
Using final boiling point as ΔTb
ΔTb is solution boiling point minus pure solvent boiling point.
Increase in boiling point is proportional to molality for dilute non-electrolyte solutions.
Variables
ΔTb=Boiling point elevation
Kb=Ebullioscopic constant of solvent
m=Molality of solution
Decrease in freezing point is proportional to molality for dilute non-electrolyte solutions.
Variables
ΔTf=Freezing point depression
Kf=Cryoscopic constant of solvent
m=Molality of solution
Osmosis and Osmotic Pressure
Overview
Osmosis is the spontaneous flow of solvent molecules through a semipermeable membrane from dilute solution or pure solvent to concentrated solution. The pressure required to stop this flow is osmotic pressure, represented by π. For dilute solutions, osmotic pressure follows an equation similar to the ideal gas equation: π = CRT or πV = nRT. It is a colligative property because it depends on the number of solute particles. Osmotic pressure is especially useful for determining molar masses of biomolecules because it is measurable even at low concentrations and room temperature. Biological systems depend on isotonic balance to prevent cell swelling or shrinkage.
- 1Semipermeable membrane allows solvent but not solute particles.
- 2Osmotic pressure uses molarity, unlike ΔTb and ΔTf which use molality.
- 3Osmotic pressure is directly proportional to temperature and concentration.
- 4Reverse osmosis is used in desalination and water purification.
- 5For electrolytes, osmotic pressure becomes π = iCRT.
Water Goes Where Solute Is More
In osmosis, solvent moves toward the side that has more solute particles.
π Uses C
Osmotic pressure uses concentration C or molarity, not molality.
Raisins in Water
Raisins swell in water because water enters cells by osmosis.
Reverse Osmosis Purifier
External pressure greater than osmotic pressure pushes water through a membrane, leaving salts behind.
Reversing osmosis direction
Solvent moves from dilute to concentrated solution, not solute from concentrated to dilute.
Forgetting Kelvin temperature
Always use T in kelvin in π = CRT.
Osmotic pressure of a dilute non-electrolyte solution.
Variables
π=Osmotic pressure
C=Molar concentration of solution
R=Gas constant
T=Temperature in kelvin
Useful when moles of solute and volume of solution are given.
Variables
V=Volume of solution
n=Moles of solute
R=Gas constant
T=Temperature in kelvin
Abnormal Molar Mass and Van't Hoff Factor
Overview
Colligative properties depend on number of solute particles. If solute particles associate, the number of particles decreases and observed colligative effect becomes smaller, giving an abnormally high molar mass. If solute particles dissociate into ions, the number of particles increases and observed colligative effect becomes larger, giving an abnormally low molar mass. Van’t Hoff factor i corrects this behaviour by comparing observed colligative property with normal calculated value. For association, i is less than 1; for dissociation, i is greater than 1. NEET often asks relation of i with degree of dissociation or association and its use in ΔTb, ΔTf and osmotic pressure.
- 1Abnormal molar mass is not an error; it indicates particle number change.
- 2Association commonly occurs through hydrogen bonding or dimer formation.
- 3Dissociation occurs for electrolytes such as NaCl, KCl and CaCl2.
- 4Actual i may be less than theoretical due to incomplete dissociation or ion pairing.
- 5Use total effective particles after association/dissociation to judge colligative effect.
A-D Rule
Association Adds together so particles decrease; Dissociation Divides apart so particles increase.
i Direction
i < 1 means joining; i > 1 means breaking.
Benzoic Acid
Benzoic acid associates as dimers in benzene, so observed molar mass is nearly double.
Sodium Chloride
NaCl dissociates into Na+ and Cl-, so colligative effect is nearly twice that of a non-electrolyte of same molality.
Using theoretical i blindly
Actual i may be lower than theoretical if dissociation is incomplete.
Reversing abnormal molar mass
Association gives higher observed molar mass; dissociation gives lower observed molar mass.
Measures how the actual number of particles differs from expected number.
Variables
i=Van't Hoff factor
observed colligative property=Experimental value
calculated colligative property=Value expected for no association or dissociation
Used to interpret abnormal molar mass in colligative property experiments.
Variables
normal molar mass=True formula molar mass
observed molar mass=Molar mass calculated without considering i
NEET Numerical Strategy and Formula Sheet
Overview
Most NEET questions from Solutions are formula-based but conceptually tricky because of units, concentration choice and abnormal molar mass. Start by identifying the property: vapour pressure uses mole fraction, boiling and freezing point use molality, and osmotic pressure uses molarity. Convert solvent mass into kg for molality and solution volume into litre for molarity. Check whether the solute is an electrolyte, associates or dissociates; if yes, include van’t Hoff factor i. For molar mass questions, carefully distinguish solute mass from solvent mass. A systematic approach prevents errors and allows quick solving under exam pressure. This topic acts as a final revision formula sheet.
- 1Identify property before selecting formula.
- 2Write units beside every value to avoid denominator mistakes.
- 3For electrolytes, multiply colligative property by i.
- 4For molar mass determination, rearrange formula only after substituting correct units.
- 5NEET often hides solvent mass and solute mass in word problems.
χ-m-C Map
Raoult uses χ, boiling/freezing use m, osmosis uses C.
i Multiplies Effects
Whenever particles change, put i in front of every colligative formula.
Fast Boiling Point Setup
For 2 g solute in 100 g solvent, first write m = (2/M2)/(0.100), then use ΔTb = iKb m.
Fast Osmosis Setup
If 0.01 mol solute is in 500 mL at 300 K, C = 0.01/0.5 = 0.02 M, then π = iCRT.
Wrong gas constant unit
Use R = 0.0821 only with litre-atm units; use 8.314 with SI units.
Missing factor 1000
Direct molar mass formulas using solvent mass in grams need the factor 1000.
Universal correction for association or dissociation.
Variables
i=Van't Hoff factor
normal colligative property=Value for non-electrolyte without association
Direct formula using solute mass, molar mass and solvent mass in grams.
Variables
w2=Mass of solute in grams
w1=Mass of solvent in grams
M2=Molar mass of solute
i=Van't Hoff factor
Complete Chapter Mind Map and Quick Revision
Overview
The chapter Solutions connects mixture formation, concentration expression, solubility, vapour pressure and particle-number effects. Begin with the idea of homogeneous mixtures and types of solutions. Then learn concentration units because every numerical depends on choosing the correct unit. Solubility explains how temperature, pressure and molecular interactions decide dissolution; Henry’s law is central for gases. Raoult’s law connects mole fraction to vapour pressure and separates ideal from non-ideal behaviour. Colligative properties show how non-volatile solutes lower vapour pressure, raise boiling point, lower freezing point and create osmotic pressure. Finally, abnormal molar mass and van’t Hoff factor correct formulas when solutes associate or dissociate.
- 1Always attach temperature to solubility and vapour pressure.
- 2Mole fraction is unitless and central to vapour pressure.
- 3Molality is preferred for temperature-dependent colligative properties.
- 4Osmotic pressure is highly useful for biomolecular molar mass.
- 5i summarizes effective particle count and modifies all colligative formulas.
Chapter Chain
Types → Concentration → Solubility → Raoult → Deviations → Colligative → i.
Three Concentration Anchors
χ for vapour, m for temperature changes, C for osmosis.
Integrated Example
NaCl in water affects boiling point, freezing point and osmotic pressure more than glucose of same molality because NaCl dissociates into ions.
Concept Map Example
Adding sugar to water lowers vapour pressure; this causes boiling point elevation and freezing point depression.
Learning formulas without conditions
Most formulas assume dilute solutions and often non-volatile solute; check conditions before applying.
Ignoring NCERT examples
Examples like benzene-toluene, ethanol-water, chloroform-acetone and benzoic acid dimer are high-yield.
Vapour pressure relation for ideal liquid solutions.
Variables
pA=Partial pressure of component A
χA=Mole fraction of A
pA°=Vapour pressure of pure A
Pressure-solubility relation for gases in liquids.
Variables
p=Partial pressure of gas
KH=Henry's law constant
x=Mole fraction of gas
Formula Sheet
10A symbolic way to remember that a solution is formed when solute particles disperse uniformly in a solvent.
Variables
Solute=Component dissolved, usually present in smaller amount
Solvent=Component that dissolves the solute, usually present in larger amount
Used to express mass of solute in 100 parts by mass of solution.
Variables
mass of solute=Mass of dissolved substance
mass of solution=Mass of solute plus solvent
Fraction of total moles contributed by component A in a binary solution.
Variables
χA=Mole fraction of component A
nA=Moles of component A
nB=Moles of component B
Moles of solute present in one litre of solution.
Variables
M=Molarity in mol L⁻¹
volume=Total volume of solution in litres
Moles of solute present per kilogram of solvent.
Variables
m=Molality in mol kg⁻¹
mass of solvent=Mass of solvent in kilograms
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NEET PYQs — Solutions
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Mixture of chloroform and acetone forms a solution with negative deviation from Raoult’s law due to:
5 moles of liquid X and 10 moles of liquid Y make a solution having a vapour pressure of 70 torr. The vapour pressures of pure X and Y are 63 torr and 78 torr respectively. Which of the following is true regarding the described solution?
Which of the following aqueous solution will exhibit highest boiling point?
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