What is the minimum mass of glycerol (C₃H₈O₃) that must be dissolved in 11.0 mg of water to prevent the solution from freezing at - 15°C? (Assume ideal behavior.)

Respuesta :

0.008161 gms is the minimum mass of glycerol is required to prevent the solution from freezing at - 15°C.

A liquid's freezing point is the temperature at which it turns into a solid. Similar to the melting point, the freezing point typically rises with increasing pressure.

Given;

We require a depression in the freezing point of -15.0°c in order to have a freezing point of -15.0°c. We are aware that a colligative property of depression in freezing point depends on molality as

Depression in freezing point = Kf x molality

                      where, Kf = 1.86 °C/m

Molality = moles of solute/moles of solvent

15 =  1.86 °C/m X Molality

Molality = 8.065

Molality = Moles of glycerol/mass of water

Moles of glycerol = 8.065 X 11 X 10⁻⁶ = 88.715 X 10⁻⁶

Moles = mass / molar mass

Mass = moles X molar mass = 88.715 X 10⁻⁶X 92 = 0.008161 gms

0.008161 gms is the minimum mass required.

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