Â± Boiling Point Elevation and Freezing Point Depression for Organic Solutions

The temperature at which a solution freezes and boils depends on the freezing and boiling points of the pure solvent as well as on the molal concentration of particles (molecules and ions) in the solution. For nonvolatile solutes, the boiling point of the solution is higher than that of the pure solvent and the freezing point is lower. The change in the boiling for a solution, Î*T*b, can be calculated as

Î*T*b=*K*bâ *m*

in which *m* is the molality of the solution and *K*b is the molal boiling-point-elevation constant for the solvent. The freezing-point depression, Î*T*f, can be calculated in a similar manner:

Î*T*f=*K*fâ *m*

in which *m* is the molality of the solution and *K*f is the molal freezing-point-depression constant for the solvent.

**Part A**

Cyclohexane has a freezing point of 6.50 âC and a *K*f of 20.0 âC/*m*. What is the freezing point of a solution made by dissolving 0.463 g of biphenyl (C12H10) in 25.0 g of cyclohexane?

Express the temperature numerically in degrees Celsius.

**Part B**

Paradichlorobenzene, C6H4Cl2, is a component of mothballs. A solution of 2.00 g in 22.5 g of cyclohexane boils at 82.39 âC. The boiling point of pure cyclohexane is 80.70 âC. Calculate *K*b for cyclohexane.

Express the constant numerically in degrees Celsius per molal.

Â± Boiling Point Elevation and Freezing Point Depression for Organic Solutions

The temperature at which a solution freezes and boils depends on the freezing and boiling points of the pure solvent as well as on the molal concentration of particles (molecules and ions) in the solution. For nonvolatile solutes, the boiling point of the solution is higher than that of the pure solvent and the freezing point is lower. The change in the boiling for a solution, Î*T*b, can be calculated as

Î*T*b=*K*bâ *m*

in which *m* is the molality of the solution and *K*b is the molal boiling-point-elevation constant for the solvent. The freezing-point depression, Î*T*f, can be calculated in a similar manner:

Î*T*f=*K*fâ *m*

in which *m* is the molality of the solution and *K*f is the molal freezing-point-depression constant for the solvent.

**Part A**

Cyclohexane has a freezing point of 6.50 âC and a *K*f of 20.0 âC/*m*. What is the freezing point of a solution made by dissolving 0.463 g of biphenyl (C12H10) in 25.0 g of cyclohexane?

Express the temperature numerically in degrees Celsius.

**Part B**

Paradichlorobenzene, C6H4Cl2, is a component of mothballs. A solution of 2.00 g in 22.5 g of cyclohexane boils at 82.39 âC. The boiling point of pure cyclohexane is 80.70 âC. Calculate *K*b for cyclohexane.

Express the constant numerically in degrees Celsius per molal.