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Class 12 · Chemistry

Solutions

Solutions are homogeneous mixtures where one or more solutes dissolve completely in a solvent, creating a uniform composition throughout.

Feynman Lens

Start with the simplest version: this lesson is about Solutions. If you can explain the core idea to a friend using everyday language, examples, and one clear reason why it matters, you have moved from memorising to understanding.

Solutions are homogeneous mixtures where one or more solutes dissolve completely in a solvent, creating a uniform composition throughout. Understanding solutions is fundamental to chemistry because most chemical reactions occur in liquid solutions, and their properties depend on concentration, temperature, and the nature of both solute and solvent. This chapter explores how solutions form, how we measure their concentrations, and the special properties they exhibit.

What Are Solutions?

Think of a solution like a perfect blend. Imagine stirring sugar into water—the sugar crystals disappear, and every drop of the liquid tastes equally sweet. That's a solution: two or more substances mixed so thoroughly that you can't pick out individual components. The substance present in the largest amount (usually water in aqueous solutions) is the solvent, while the other substances are solutes.

Solutions aren't just liquids. A solute and solvent can each be solid, liquid, or gas. A metal alloy like brass (copper dissolved in zinc) is a solid-in-solid solution. Air is a gas-in-gas solution of nitrogen, oxygen, and other gases. Even the jewelry you might wear could be a solution!

Types of Solutions

Solutions vary based on what dissolves in what:

Concentration: How Much Solute?

Imagine a water tank: adding one spoon of salt gives different saltiness than adding ten spoons. Concentration tells us how much solute is dissolved in how much solvent or solution.

Common Ways to Express Concentration

Molarity (M): Moles of solute per liter of solution. Like saying "3 moles per liter"—it tells you how many molecules you have in a standard volume.

Molality (m): Moles of solute per kilogram of solvent. This is useful when temperature changes because it doesn't depend on volume.

Mole Fraction: The ratio of moles of one component to total moles. Like saying "1 part out of 5 total parts is our solute."

Percentage by Mass or Volume: Simple fractions expressed as percentages—how much solute by weight or volume.

Henry's Law: Gases Want to Escape

When you open a soda bottle, bubbles rush out. Henry's Law explains this: the amount of gas dissolved in a liquid is directly proportional to the pressure of that gas above the liquid.

Real-world application: Soda manufacturers carbonate drinks under high pressure. When you open the bottle, pressure drops, so the CO₂ is no longer "happy" dissolved—it escapes as bubbles. At high altitudes where atmospheric pressure is lower, less oxygen dissolves in water, which is why climbers struggle to breathe.

Raoult's Law: Ideal Solutions

Imagine a pot of water. When you add solute (like salt), the water molecules have less freedom—some are "busy" surrounding the salt ions. This lowers the vapor pressure of the solution.

Raoult's Law states that the partial pressure of a solvent in a solution equals its mole fraction times its pure vapor pressure. For ideal solutions, this relationship holds perfectly. Real solutions often deviate slightly because of interactions between solute and solvent molecules.

Colligative Properties: The "Group Effect"

Some solution properties depend only on the number of solute particles, not their identity. These are colligative properties—they're like adding extra "travelers" to a bus; the effect is the same whether those travelers are tall, short, heavy, or light.

Four Key Colligative Properties

Vapor Pressure Lowering: The presence of solute particles reduces evaporation rate, so vapor pressure drops.

Boiling Point Elevation: With solute particles in the way, water molecules need more energy to escape as vapor, so the boiling point rises. Adding salt to water raises its boiling point—each mole of solute elevates boiling point by a fixed amount (called ebullioscopic constant).

Freezing Point Depression: Solute particles disrupt the orderly arrangement of water molecules in ice. Result: water freezes at a lower temperature. This is why salt is sprinkled on icy roads—it prevents freezing.

Osmotic Pressure: When a barrier allows only solvent molecules through, water molecules move toward the more concentrated solution. This creates osmotic pressure. Plant cells use this: water enters the cell, making it firm and crisp. This is why lettuce becomes limp in salt water (water leaves the cells).

Ideal vs. Non-Ideal Solutions

Ideal solutions follow Raoult's Law perfectly. Molecules interact with each other the same way, whether with similar or different molecules.

Non-ideal solutions deviate because:

Example: Mixing ethanol and water is non-ideal because they form hydrogen bonds, creating stronger attractions than expected.

Abnormal Colligative Properties

Some solutes (like acids, bases, and salts) break apart in water: NaCl becomes Na⁺ and Cl⁻, HCl becomes H⁺ and Cl⁻. One "NaCl formula unit" becomes two particles, so the colligative effect doubles! We use the van 't Hoff factor (i) to account for this. The more a solute breaks apart, the higher the effect on boiling point, freezing point, and osmotic pressure.

Real-World Applications

Medical: Intravenous solutions are carefully balanced to match blood osmotic pressure—too dilute and water floods into cells (hemolysis), too concentrated and cells shrivel.

Food preservation: Salt creates a hypertonic solution around meat or vegetables, drawing out water and preventing microbial growth.

Climate and weather: Dissolved salts in seawater lower its freezing point, so it freezes at -2°C instead of 0°C.

Socratic Questions

  1. If you dissolve salt in water at room temperature, then heat the solution, will the salt precipitate out or dissolve more? Why does this contrast with gases?
  1. Why does adding antifreeze (ethylene glycol) to car radiators protect the engine both in winter and summer?
  1. A semipermeable membrane separates pure water from salt water. Which way does water flow, and what force drives it?
  1. Why do fruits become shriveled when placed in concentrated salt solutions, while they become firm and crisp when placed in pure water?
  1. If a solute completely ionizes in water (like strong salts), how would its freezing point depression differ from a non-ionizing solute of the same molality?

Electrochemistry - Properties of ionic solutions and conductivity Physical Properties - Temperature and state changes Chemical Kinetics - How concentration affects reaction rates


Term / Concept
Molarity (M)
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Moles of solute per litre of solution: M = n_solute / V_solution(L). Temperature-dependent because volume changes with temperature.
Term / Concept
Molality (m)
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Moles of solute per kilogram of solvent: m = n_solute / mass_solvent(kg). Temperature-independent, used in colligative-property formulas.
Term / Concept
Henry's Law
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Solubility of a gas in a liquid is proportional to its partial pressure: p = K_H · x, where x is mole fraction of dissolved gas and K_H is Henry's constant.
Term / Concept
Raoult's Law
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For a volatile component of an ideal solution, partial vapour pressure equals mole fraction times pure-component vapour pressure: p_A = x_A · p°_A.
Term / Concept
Colligative Property
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A property that depends only on the number of solute particles, not their identity. Examples: vapour-pressure lowering, ΔT_b, ΔT_f, osmotic pressure.
Term / Concept
Boiling-Point Elevation
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ΔT_b = K_b · m, where K_b is the molal ebullioscopic constant of the solvent and m is molality. The solute lowers vapour pressure so a higher T is needed to boil.
Term / Concept
Osmotic Pressure (π)
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Pressure required to stop osmosis across a semipermeable membrane: π = C · R · T (for dilute solutions), where C is molarity. A colligative property used to find molar mass.
Term / Concept
van't Hoff Factor (i)
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i = (observed colligative property) / (calculated for non-electrolyte). i > 1 for dissociation (NaCl → 2 ions, i ≈ 2), i < 1 for association (acetic acid dimers in benzene).
8 cards — click any card to flip
What is the molarity of a solution made by dissolving 4 g of NaOH (molar mass 40 g mol⁻¹) in enough water to make 250 mL of solution?
  • A 0.1 M
  • B 0.4 M
  • C 1.0 M
  • D 4.0 M
Which of the following is NOT a colligative property?
  • A Osmotic pressure
  • B Freezing-point depression
  • C Viscosity
  • D Relative lowering of vapour pressure
An aqueous solution of glucose has osmotic pressure 1.64 atm at 300 K (R = 0.0821 L atm K⁻¹ mol⁻¹). Its molar concentration is approximately:
  • A 0.0333 M
  • B 0.0666 M
  • C 0.133 M
  • D 1.64 M
A solution of acetone and chloroform shows negative deviation from Raoult's law. The most likely reason is:
  • A Acetone–acetone interactions are stronger than acetone–chloroform interactions
  • B Volume of mixing is positive
  • C ΔH_mix is positive (endothermic)
  • D Hydrogen bonding between the C=O of acetone and the C–H of chloroform
0.1 m aqueous KCl is observed to lower the freezing point by approximately 0.345 °C. Given K_f(H₂O) = 1.86 K kg mol⁻¹, the van't Hoff factor (i) is closest to:
  • A 1.85
  • B 1.00
  • C 0.93
  • D 2.00
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