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MHT CET 202624 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
24 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

MHT CET 2026 · 24 April · Morning Shift · Chemistry · Solutions

Calculate relative lowering of vapor pressure of 1 molal glucose...

Calculate relative lowering of vapor pressure of 1 molal glucose solution in water at room temperature. (molar mass of water =18=18)

Options

  1. A2.1×10−32.1\times10^{-3}
  2. B1.5×10−21.5\times10^{-2}
  3. C2.5×10−32.5\times10^{-3}
  4. D1.8×10−21.8\times10^{-2}

Correct answer

D. 1.8×10−21.8\times10^{-2}

Step-by-step solution

A 11 molal solution of glucose means 11 mole of glucose is dissolved in 10001000 g of water.

Number of moles of solute (glucose), n=1n = 1 mol

Number of moles of solvent (water), N=100018=55.55N = \dfrac{1000}{18} = 55.55 mol

According to Raoult's law, the relative lowering of vapor pressure is equal to the mole fraction of the solute.

ΔPP∘=χsolute=nn+N\dfrac{\Delta P}{P^{{}^{\circ}}} = \chi_{\text{solute}} = \dfrac{n}{n + N}

ΔPP∘=11+55.55=156.55\dfrac{\Delta P}{P^{{}^{\circ}}} = \dfrac{1}{1 + 55.55} = \dfrac{1}{56.55}

ΔPP∘≈0.01768≈1.8×10−2\dfrac{\Delta P}{P^{{}^{\circ}}} \approx 0.01768 \approx 1.8 \times 10^{-2}

Answer: 1.8×10−21.8\times10^{-2}
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