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Solutions — Class 12 Chemistry

Chemistry Part I · Chapter 1

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Chapter summary

A solution is a homogeneous mixture of two or more components whose composition and properties are uniform throughout; the component in largest amount is the solvent. Concentration can be expressed as mass percentage, volume percentage, parts per million, mole fraction, molarity (moles of solute per litre of solution) and molality (moles per kg of solvent), of which mole fraction and molality are temperature independent. The solubility of a gas in a liquid is governed by Henry's law, , the partial pressure of a gas over a solution being proportional to its mole fraction. For liquid-liquid solutions Raoult's law states that the partial vapour pressure of each volatile component is proportional to its mole fraction, ; ideal solutions obey it over the whole range while real solutions show positive or negative deviations. Properties that depend only on the number of solute particles and not their nature are colligative: relative lowering of vapour pressure, elevation of boiling point , depression of freezing point , and osmotic pressure . These properties give molar masses of solutes; abnormal values arise when solutes associate or dissociate, accounted for by the van't Hoff factor .
Types of solutions and concentration unitsSolubility and Henry's lawVapour pressure and Raoult's lawIdeal and non-ideal solutionsColligative properties and molar massAbnormal molar mass and van't Hoff factor

Key ideas & terms

Mole fraction
Ratio of moles of one component to the total moles of all components; dimensionless and temperature independent.
Molality
Number of moles of solute per kilogram of solvent, ; independent of temperature.
Henry's law
Partial pressure of a gas over a solution is proportional to its mole fraction, .
Raoult's law
Partial vapour pressure of a volatile component equals its mole fraction times the pure-component vapour pressure, .
Colligative property
A property that depends only on the number of solute particles, not their identity.
van't Hoff factor
Factor that corrects colligative properties for dissociation or association of the solute.

Extra questions & answers

Why are molality and mole fraction preferred over molarity in precise work?

They are independent of temperature, whereas molarity changes because volume varies with temperature.

State Henry's law and one application.

; it explains why soda bottles are sealed under high CO pressure and why divers face decompression problems.

State Raoult's law for a solution of two volatile liquids.

For each component , and the total pressure is the sum .

What causes a positive deviation from Raoult's law?

Weaker A–B interactions than A–A and B–B, raising vapour pressure above the ideal value (e.g. ethanol and acetone).

Define an ideal solution.

One that obeys Raoult's law over the entire range, with and .

Why is the relative lowering of vapour pressure a colligative property?

It equals the mole fraction of the solute, which depends only on the number of solute particles present.

Write the expressions for elevation of boiling point and depression of freezing point.

and , where and are molal constants.

Define osmotic pressure and give its equation.

The excess pressure needed to stop osmosis across a semipermeable membrane, .

Why does NaCl give an abnormally high colligative property?

It dissociates into Na and Cl, so the number of particles roughly doubles; .

How is the van't Hoff factor defined?

It is the ratio of the observed colligative property to the value calculated assuming no association or dissociation.