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Question

The mole fraction of a solution of acetone (C3H6O) in heptane (C7H16) is 0.1 , Its molality is:

A
11.1 m
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B
1.11 m
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C
12.5 m
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D
1.25 m
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Solution

The correct option is B 1.11 m
Let's assume the total moles of acetone and heptane to be 1 mole.
Number of moles of acetone = 0.1 mol
Number of moles of heptane = 0.9 mol
Molar mass of heptane = 100 g/mol
Mass of heptane =0.9×100=90 g =0.09 kg
Molality=number of moles of the solutemass of the solvent in kg
Molality =0.10.09=1.11 m

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