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JEE Main 202229 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2022 · 29 July · Evening Shift · Chemistry · Solutions

1 . 80g of solute A was dissolved in 62 . 5 cm ^ 3 of ethanol and...

1.80g1 . 80g of solute A was dissolved in 62.5cm362 . 5{cm}^{3} of ethanol and freezing point of the solution was found to be 155.1K155 . 1K. The molar mass of solute AA is gmol−1{gmol}^{- 1}. [Given: Freezing point of ethanol is 156.0K156 . 0K. Density of ethanol is 0.80gcm−30 . 80g{cm}^{- 3}. Freezing point depression constant of ethanol is 2.00Kkgmol−12 . 00Kkg{mol}^{- 1}]

Correct answer

0

Step-by-step solution

Given

Mass of C2H5OH=62.5×0.8=50g{C}_{2}{H}_{5}OH = 62 . 5 \times 0 . 8 = 50g

Mass of solute = 1.80 g

Depression in freezing point ∆Tf=156.0−155.1=0.9K∆ {T}_{f} = 156 . 0 - 155 . 1 = 0 . 9K

We know that the depression in freezing point

ΔTf=Kf×m{\Delta T}_{f} = {K}_{f} \times m

0.9=2×1.8×1000Mw×500 . 9 = 2 \times \dfrac{1 . 8 \times 1000}{{M}_{w} \times 50}

Mw=2×1.8×10000.9×50=80{M}_{w} = \dfrac{2 \times 1 . 8 \times 1000}{0 . 9 \times 50} = 80

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