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Q.Identify which liquid will have a higher vapour pressure at 90 °C90\,°C if the boiling points of two liquids A and B are 140 °C140\,°C and 180 °C180\,°C, respectively.

CBSECBSE Class XII Board 2020Subjective· 1mImportance★★★★★
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At a given temperature, the liquid with the lower boiling point has a higher vapour pressure. Since A boils at 140 °C140\,°C and B at 180 °C180\,°C, liquid A will have a higher vapour pressure at 90 °C90\,°C.

Why boiling point tells you about vapour pressure

Boiling happens when the vapour pressure of a liquid equals the surrounding atmospheric pressure. So a liquid that boils at a lower temperature must have a higher vapour pressure at any common temperature below its boiling point — it’s already “eager” to vaporise. Think of it this way: if you heat two liquids gently, the one that starts bubbling first (lower boiling point) is the one whose molecules escape more easily into the vapour phase. That ease of escape is exactly what we mean by higher vapour pressure.

The relationship is inverse: lower boiling point → higher vapour pressure at a given temperature.


Step-by-step reasoning

  1. Recall the definition of boiling point.

    The boiling point is the temperature at which a liquid’s vapour pressure equals the external pressure (usually 1 atm). So at 100 °C100\,°C, water’s vapour pressure is 1 atm; at 90 °C90\,°C, it’s less than 1 atm.

  2. Compare the two liquids.

    Liquid A boils at 140 °C140\,°C, liquid B at 180 °C180\,°C. Both are above 90 °C90\,°C, so neither is boiling at 90 °C90\,°C — but their vapour pressures are different.

  3. Apply the inverse relationship.

    Since A reaches 1 atm vapour pressure at a lower temperature (140 °C140\,°C) than B does (180 °C180\,°C), A’s vapour pressure curve rises more steeply. At any temperature below both boiling points — including 90 °C90\,°C — A’s vapour pressure is higher than B’s. …

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