A solution made by dissolving 150.0 g of an unknown compound in 425.0 mL of benzene to make a solution which has a freezing point 18.6 °C lower than that of pure benzene. Kf for benzene is 5.12 °C/m and the density of benzene is 0.877 g/mL. The molality of the solution is 3.63 m. How many moles of the unknown compound were dissolved in the solution?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A solution made by dissolving 150.0 g of an unknown compound in 425.0 mL of benzene to make a solution which has a freezing point 18.6 °C lower than that of pure benzene. Kf for benzene is 5.12 °C/m and the density of benzene is 0.877 g/mL. The molality of the solution is 3.63 m. How many moles of the unknown compound were dissolved in the solution?

Expert Solution
Step 1

The volume of benzene = 425 mL.

Density of benzene = 0.877 g/mL

The mass of the solvent =  425 g/mL × 0.877 g/mL

                                           = 372.725 g.

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