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Question

The molarity of an aqueous solution of glycol is 10 M. The density of the solution is 1.16 g/mL. Find the mole fraction of glycol.

A
0.5
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B
0.25
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C
0.75
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D
0.9
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Solution

The correct option is B 0.25
Given:
Molarity of the solution = 10 M

Assuming 1 litre of the solution,
Moles of glycol = 10 mol
Molar mass of glycol = 62 g/mol
Mass of glycol = 620 g
Volume of the solution = 1 L
Density of the solution = 1.16 g/mL
Mass of the solution = 1160 g
Mass of water = 540 g
Moles of water = 30 mol
Total moles of glycol and water = 40 mol
Mole fraction = 1040=0.25

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