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Q.Mixture of ethyl alcohol and acetone shows positive deviation from Raoult's law. Explain why. OR The boiling point of a pure solvent increases when a non-volatile, non-electrolyte solute is added to it. Explain with the help of vapour pressure versus temperature graph.

West Bengal WbchseWest Bengal HS (WBCHSE) Board 2023Subjective· 2mImportance★★★★★
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Concept understanding — Ideal and Non-Ideal Solutions

Ideal and Non-Ideal Solutions

Imagine you have two friends, A and B. When they work together, sometimes they get along perfectly — each does exactly their share, no extra effort, no friction. Other times, they either pull apart (making the job harder) or cling together (making it easier than expected). A solution of two liquids behaves the same way.

The Intuition: What "Ideal" Really Means

An ideal solution is the "perfect teamwork" case. The molecules of A and B are so similar that they don't care whether they are next to an A or a B. They interact with each other exactly as they would with their own kind. Think of mixing two grades of petrol — the molecules are nearly identical, so the mixture behaves predictably.

In an ideal solution, two things happen:

  • No heat is absorbed or released when you mix them (zero enthalpy change, ΔHmix=0\Delta H_{\text{mix}} = 0).
  • No volume change occurs — the total volume is exactly the sum of the individual volumes (ΔVmix=0\Delta V_{\text{mix}} = 0).

Why? Because the forces between A-A, B-B, and A-B are all the same. No energy is needed to break old contacts or form new ones; no space is saved or wasted.

The Precise Statement: Raoult's Law

Raoult's law is the mathematical definition of an ideal solution. For a mixture of two volatile liquids A and B, the partial vapour pressure of each component above the solution is proportional to its mole fraction in the liquid:

pA=xA pA0andpB=xB pB0p_A = x_A \, p_A^0 \quad \text{and} \quad p_B = x_B \, p_B^0

where pA0p_A^0 and pB0p_B^0 are the vapour pressures of pure A and pure B at that temperature. The total vapour pressure is simply the sum:

Ptotal=pA+pB=xApA0+xBpB0P_{\text{total}} = p_A + p_B = x_A p_A^0 + x_B p_B^0

Ptotal=xApA0+xBpB0P_{\text{total}} = x_A p_A^0 + x_B p_B^0

This is a straight line when plotted against mole fraction. Every ideal solution obeys this law at all compositions and temperatures.

Non-Ideal Solutions: When Molecules Disagree

Real solutions are rarely ideal. The molecules of A and B are different — different sizes, polarities, or hydrogen-bonding abilities. Now the A-B interaction is not the same as A-A or B-B. This causes deviations from Raoult's law.

Positive deviation occurs when A-B interactions are weaker than A-A and B-B. The molecules "prefer their own company" and escape into the vapour more easily than expected. The actual vapour pressure is higher than Raoult's law predicts. Examples: ethanol + water (initially), acetone + carbon disulphide. The mixture absorbs heat (ΔHmix>0\Delta H_{\text{mix}} > 0) and expands slightly (ΔVmix>0\Delta V_{\text{mix}} > 0).

Negative deviation occurs when A-B interactions are stronger than A-A and B-B. The molecules "hold on to each other" and escape less easily. The actual vapour pressure is lower than Raoult's law predicts. Examples: chloroform + acetone, nitric acid + water. The mixture releases heat (ΔHmix<0\Delta H_{\text{mix}} < 0) and contracts (ΔVmix<0\Delta V_{\text{mix}} < 0).

Watch out

A common mistake: thinking "positive deviation means the solution is better" or "negative means worse." The words refer only to the direction of the pressure deviation from Raoult's law — nothing about quality.

The Key Table

PropertyIdeal SolutionPositive DeviationNegative Deviation
A-B interaction= A-A, B-B< A-A, B-B> A-A, B-B
Vapour pressureFollows Raoult's lawHigher than predictedLower than predicted
ΔHmix\Delta H_{\text{mix}}0> 0 (endothermic)< 0 (exothermic)

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