Before discussing depression, let us know what this term means. So, the depression of freezing point is a colligative property due to the addition of solute molecules to any solvent. So, to be very precise, depression of freezing point is a term that refers to lowering of the freezing point of solvents due to the addition of solute molecules to it. Due to a decrease in temperature, a substance starts freezing and its intermolecular forces take over, arranging themselves in a pattern and eventually turning into solid. Let us take an example to have a better understanding when we keep water to cool whether the temperature is below the freezing point of water -the hydrogen bonding begins to stick more and thus result in the formula for depression of freezing point:
△Tf = i x Kf x m
Here,
△Tf stands for depression of freezing point,
i stands for Van’t Hoff Factor,
Kf stands for cryoscopic constant and,
m represents molality.
According to Raoult’s law, with the addition of a solute, the vapor pressure of a pure solvent also decreases. The vapor pressure of the non-volatile solvent is zero. The overall vapor pressure of a solution is lower than that of the solution freezing point is that particular temperature at which a liquid solvent and a solid solvent are at equilibrium so that their vapor pressure becomes equal.
We can determine the molar mass of a given solute from an above-written ten formula.
Also, we can measure the degree to which a solute dissociates into a solvent.
We can obtain the freezing point of a solution if the chemical potential of a pure liquid solvent reaches that of a pure solid solvent.
Calculation of molecular mass of a solute using depression in freezing point:
M = (1000×Kf×w2) ÷ (∆Tf×w1)
Here, w2 stands for the weight of solute,
w1 stands for the weight of solvent,
Kf stands for molal depression constant,
and ∆Tf stands for depression in the freezing point.
There can be many reasons why the depression of the freezing point of a solvent occurs when we add solute molecules to it. Let us take a close look at those reasons:
To understand the effects of solutes on physical properties, we need to understand the graph given below:
The graph represents the pressure and temperature of the standard boiling point and freezing points of a solvent (green lines)and the boiling and freezing points of a solution (purple lines). You can see at 1atm of pressure, the freezing point decreases.
Many factors affect the depression of freezing point.