asked 75.0k views
4 votes
Calculate the freezing temperature of the following solution of 0.50 M glucose (a covalent compound). Assume that the molality of the solution is 0.50 m. (The molar and molal concentrations of dilute aqueous solutions are often identical to two significant figures.) Enter your answer in the provided box. 0.50 m glucose (a covalent compound) °C

asked
User RichG
by
8.3k points

1 Answer

5 votes

Answer:

-0.93 °C

Step-by-step explanation:

Hello,

The freezing-point depression is given by:


T_f-T_f^*=-iK_(solvent)m_(solute)

Whereas
T_f is the freezing temperature of the solution,
T_f^* is the freezing temperature of the pure solvent (0 °C since it is water),
i the Van't Hoff factor (1 since the solute is covalent),
K_(f,solvent) the solvent's freezing point depression point constant (in this case
1.86 C(kg)/(mol)) and
m_(solute) the molality of the glucose.

As long as the unknown is
T_f, solving for it:


T_f=T_f^*-iK_fm\\T_f=0C-1*1.86C(kg)/(mol)*0.5(mol)/(kg)  \\T_f=-0.93C

Best regards.

answered
User Joshua Lowry
by
8.2k points
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