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  4. What is the mass ratio of ethylene glycol ( C 2 H 6 O 2., molar mass .=62 g / mol ) required for making 500 g of 0.25 molal aqueous solution and 250 mL of 0.25 molal aqueous solution?

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Q. What is the mass ratio of ethylene glycol $\left( C _2 H _6 O _2\right.$, molar mass $\left.=62\, g / mol \right)$ required for making $500 g$ of $0.25$ molal aqueous solution and $250 \, mL$ of $0.25$ molal aqueous solution?

JEE MainJEE Main 2023Some Basic Concepts of Chemistry

Solution:

Assume : Mass of solvent $\approx$ Mass of solution
Case I :-
$0.25=\frac{W_1}{62} \times \frac{1000}{500}$
Case II :-
$ 0.25=\frac{ W _2}{62} \times \frac{1000}{250}$
$\frac{ W _1}{ W _2}=\frac{2}{1}$