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← JEE Advanced 2014 · Paper 1
ChemistryInteger+3Question 39 of 60

JEE Advanced 2014 · Paper 1, Chemistry question 39

A compound HX2X\ce{H2X} with molar weight of 80 g is dissolved in a solvent having density of 0.4 g mL−10.4\ \mathrm{g\,mL^{-1}}. Assuming no change in volume upon dissolution, the molality of a 3.2 molar solution is

Answer and worked solution

Official answer: 8

Take 1 L of solution. It contains 3.2 mol of HX2X\ce{H2X}.

Solvent mass. With no volume change on dissolving, the solvent volume is 1 L, so its mass is 1000×0.4=4001000\times0.4=400 g.

Molality.
m=3.20.400=8 mol kg−1.m=\frac{3.2}{0.400}=8\ \mathrm{mol\,kg^{-1}}.

Answer: 8