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JEE Main 201325 AprilOnline

Exam: JEE Main
Year: 2013
Date: 25 April
Mode: Online
Subject: Chemistry
Chapter: Some Basic Concepts of Chemistry

JEE Main 2013 · 25 April · Online · Chemistry · Some Basic Concepts of Chemistry

How many grams of methyl alcohol should be added to 10 litre tank...

How many grams of methyl alcohol should be added to

10

litre tank of water to prevent its freezing at

268 \mathrm{~K}

? (

\mathrm{K}_{\mathrm{f}}

for water is

1.86 \mathrm{~K} \mathrm{~kg}

\left.\mathrm{mol}^{-1}\right)

Options

A $880.07 \mathrm{~g}$
B $899.04 \mathrm{~g}$
C $886.02 \mathrm{~g}$
D $868.06 \mathrm{~g}$

Correct answer

D. $868.06 \mathrm{~g}$

Step-by-step solution

\Delta \mathrm{T}_f=\mathrm{K}_f m

where

m=

molality

273-268=1.86 \times \frac{w}{M \times V}

5=1.86 \times \frac{w}{32 \times 10}

w=\frac{5 \times 32 \times 10}{1.86}

=860.2 \approx 868.06 \mathrm{~g}

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