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NCERT Exemplar · Q52

Q.Assertion: When methyl alcohol is added to water, boiling point of water increases. Reason: When a volatile solute is added to a volatile solvent elevation in boiling point is observed. Choose the correct option:

(i) Assertion and reason both are correct statements and reason is correct explanation for assertion.
(ii) Assertion and reason both are correct statements but reason is not correct explanation for assertion.
(iii) Assertion is correct statement but reason is wrong statement.
(iv) Assertion and reason both are incorrect statements.
(v) Assertion is wrong statement but reason is correct statement.
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The assertion is wrong (adding methyl alcohol to water lowers the boiling point), and the reason is also wrong (a volatile solute in a volatile solvent does not show the usual boiling point elevation). So both statements are incorrect.

The core idea: Henry’s Law and vapour pressure

Boiling happens when the vapour pressure of the liquid equals the external (atmospheric) pressure.

Adding a non-volatile solute (like salt or sugar) to a solvent lowers the solvent’s vapour pressure — so you need a higher temperature to reach atmospheric pressure. That’s the familiar elevation in boiling point.

But here, methyl alcohol (methanol) is volatile — it has its own significant vapour pressure. When you add a volatile solute to a volatile solvent, the total vapour pressure above the mixture is the sum of the partial pressures of both components (Raoult’s law for ideal mixtures). That sum can be higher than the vapour pressure of pure water, not lower.

For an ideal binary mixture of volatile liquids A and B:

Ptotal=PA∘xA+PB∘xBP_{\text{total}} = P_A^\circ x_A + P_B^\circ x_B

where P∘P^\circ is the vapour pressure of the pure component and xx is its mole fraction.

Step-by-step reasoning

  1. What happens to the boiling point when you add methanol to water?

    Methanol has a much higher vapour pressure than water at any given temperature (it boils at 65∘C65^\circ\text{C}, water at 100∘C100^\circ\text{C}). Adding methanol to water increases the total vapour pressure of the mixture above that of pure water.

    Since the mixture now reaches atmospheric pressure at a lower temperature, the boiling point decreases.

    So the assertion — “boiling point of water increases” — is false.

  2. Is the reason statement correct?

    The reason says: “When a volatile solute is added to a volatile solvent, elevation in boiling point is observed.” …

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