Relative Lowering of Vapour Pressure (Raoult's Law for Solutes)

Chemistry · Solutions · NEET

When you add a non-volatile solute (like sugar or urea) to a solvent, the vapour pressure of the solvent goes down. Raoult's law says the relative lowering of vapour pressure equals the mole fraction of the solute: (p° − p) / p° = x(solute). Memory hook: "More solute particles on top, fewer solvent molecules escape, so pressure drops."
Relative Lowering of Vapour PressurePure solventSolution (+solute)p < p°add non-volatilesolute(p° − p) / p° = x(solute)
Adding a non-volatile solute (red squares) blocks solvent molecules (blue) from escaping, so the solution's vapour pressure p falls below the pure solvent's p°. The relative lowering (p° − p)/p° equals the mole fraction of the solute.

Your doubts, answered

What exactly is 'relative lowering of vapour pressure'?

It is a ratio, not a pressure. Take the drop in vapour pressure (p° − p) and divide it by the pure solvent's vapour pressure (p°). So relative lowering = (p° − p) / p°. Because it is a ratio, it has no units. NEET loves this because Raoult's law says this ratio equals the mole fraction of the solute.

Why does vapour pressure go down when I add a solute?

At the liquid surface, only solvent molecules can escape into vapour (the solute is non-volatile, so it stays). When solute particles sit at the surface, they take up space and fewer solvent molecules are able to leave. Fewer escaping molecules means lower vapour pressure. This is why it depends only on the NUMBER of solute particles, making it a colligative property.

Is relative lowering equal to mole fraction of solute or solvent?

Solute. This is the most common NEET slip. (p° − p) / p° = x(solute) = n(solute) / [n(solute) + n(solvent)]. The vapour pressure p itself equals p° × x(solvent). So remember: p = p° × x(solvent), but the LOWERING equals x(solute).

When can I use the shortcut (p°−p)/p° = n(solute)/n(solvent)?

Only for dilute solutions. In a dilute solution the solute moles are very small compared to solvent moles, so n(solute)+n(solvent) ≈ n(solvent). Then x(solute) ≈ n(solute)/n(solvent). NCERT uses this shortcut to find molar mass. For concentrated solutions, use the full formula with both terms in the denominator.

What is the difference between p° and p in the formula?

p° (p-naught) is the vapour pressure of the PURE solvent alone. p is the vapour pressure of the SOLUTION after adding the solute. p is always smaller than p° because the solute lowers it. The drop (p° − p) is the 'lowering'.

Does relative lowering depend on what kind of solute I add?

No. It depends only on how many solute particles are present, not on their chemical nature. Sugar, urea, or glucose all give the same lowering if the number of particles is the same. That is why it is called a colligative property. (Electrolytes like NaCl split into ions, so they give MORE particles — that needs the van't Hoff factor.)

⚠️ The NEET trap
Relative lowering of vapour pressure equals the mole fraction of the solvent, so students write (p° − p)/p° = x(solvent).
Relative lowering equals the mole fraction of the SOLUTE: (p° − p)/p° = x(solute). The vapour pressure of the solution itself, p = p° × x(solvent). Do not mix these two.
🧠 LOWERING goes with SOLUTE (the thing you added). The leftover PRESSURE goes with SOLVENT.

Real NEET questions

NEET 2016

At 100 °C the vapour pressure of a solution of 6.5 g of a solute in 100 g water is 732 mm. If Kb = 0.52, the boiling point of this solution will be:

A · 101 °C
B · 100 °C
C · 102 °C
D · 103 °C
Solution: Step 1 — Find molar mass using relative lowering. Pure water vapour pressure at 100 °C is p° = 760 mm. Using (p° − p)/p° = n(solute)/n(solvent) for the dilute solution: (760 − 732)/760 = (6.5/M)/(100/18). So 28/760 = (6.5/M)/5.56, which gives M ≈ 32 g/mol. Step 2 — Molality m = (6.5/32)/0.100 = 2.03 mol/kg. Step 3 — ΔTb = Kb × m = 0.52 × 2.03 ≈ 1.05 K. Boiling point = 100 + 1.05 ≈ 101 °C. Answer: (A).
NEET 2026

The molality of 2.5 g of ethanoic acid (Molar mass: 60 g/mol) in 75 g of benzene is (part of a multi-statement question that uses concentration and vapour-pressure ideas):

A · 0.556 m
B · 0.278 m
C · 2.03 m
D · 1.00 m
Solution: Molality = moles of solute / mass of solvent in kg = (2.5/60) / (75/1000) = 0.0417 / 0.075 = 0.556 m. This same molality logic connects to vapour pressure: once you know moles of solute and solvent, you can also compute the mole fraction of the solute, which by Raoult's law equals the relative lowering of vapour pressure. Answer: (A).

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Frequently asked

What is the formula for relative lowering of vapour pressure?

(p° − p) / p° = x(solute), where p° is the vapour pressure of the pure solvent, p is the vapour pressure of the solution, and x(solute) is the mole fraction of the non-volatile solute.

Why is relative lowering of vapour pressure a colligative property?

Because its value depends only on the number of solute particles dissolved, not on their chemical identity. More particles cause a bigger lowering.

How do you find molar mass from relative lowering of vapour pressure?

Rearrange (p° − p)/p° = (w/M)/(W/Mo) for dilute solutions, where w and M are the mass and molar mass of solute, and W and Mo are the mass and molar mass of solvent. Solve for M. This is a standard NEET calculation.

What is the difference between p° and p?

p° is the vapour pressure of the pure solvent. p is the lower vapour pressure of the solution after adding a non-volatile solute. p is always less than p°.

Does adding more solute lower vapour pressure more?

Yes. More solute particles means a higher mole fraction of solute, so the relative lowering (p° − p)/p° increases and p drops further.