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Question

The mole fraction of acetone in heptane is 0.25. Its density is 0.895 g/mL. Then which of the following is/are correct:

A
Molarity of the solution is 2.5 M
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B
Molality of the solution is 3.33 m
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C
Molality of the solution is 2.5 m
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D
Molarity of the solution is 3.33 M
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Solution

The correct option is B Molality of the solution is 3.33 m
Assuming, total moles of the solution =1 mol

so, moles of acetone =0.25 mol
molar mass of acetone =58 g/mol
therefore, mass of acetone =14.5 g

moles of heptane =0.75 mol
molar mass of heptane (C7H16) =100 g/mol
therefore, mass of heptane =75 g

Total mass of the solution =89.5 g
volume of the solution = massdensity=89.50.895=100 mL

Molarity of the solution= moles of solutevolume of the solution(L)=0.250.1=2.5 M

mass of solvent (heptane) =89.514.5=75 g

Molality of the solution= moles of solutemass of the solvent (kg)=0.250.075=3.33 m

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