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Freezing Point Depression Calculator

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✖The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.ⓘ Cryoscopic Constant [k_f]			+10% -10%
✖Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.ⓘ Molality [m]			+10% -10%

✖The Depression in Freezing Point is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent.ⓘ Freezing Point Depression [ΔT_f]

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Formula

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Freezing Point Depression

Formula

ΔT f = k f \cdot m

Example

285.0535 K = 6.65 K*kg/mol \cdot 1.79 mol/kg

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Freezing Point Depression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depression in Freezing Point = Cryoscopic Constant*Molality
ΔT_f = k_f*m
This formula uses 3 Variables

Variables Used

Depression in Freezing Point - (Measured in Celsius) - The Depression in Freezing Point is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent.
Cryoscopic Constant - (Measured in Kelvin Kilogram per Mole) - The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
Molality - (Measured in Mole per Kilogram) - Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.

STEP 1: Convert Input(s) to Base Unit

Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
Molality: 1.79 Mole per Kilogram --> 1.79 Mole per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_f = k_f*m --> 6.65*1.79

Evaluating ... ...

ΔT_f = 11.9035

STEP 3: Convert Result to Output's Unit

285.0535 Kelvin --> No Conversion Required

FINAL ANSWER

285.0535 Kelvin <-- Depression in Freezing Point

(Calculation completed in 00.004 seconds)

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National Institute of Information Technology (NIIT), Neemrana

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< Depression in Freezing Point Calculators

Cryoscopic Constant given Molar Enthalpy of Fusion

Go Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)

Molality given Depression in Freezing Point

Go Molality = Depression in Freezing Point/(Cryoscopic Constant*Van't Hoff Factor)

Van't Hoff equation for Depression in Freezing Point of electrolyte

Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality

Depression in Freezing Point of Solvent

Go Depression in Freezing Point = Cryoscopic Constant*Molality

< Important Formulas of Colligative Properties Calculators

Osmotic Pressure given Depression in Freezing Point

Go Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2))

Osmotic Pressure given Concentration of Two Substances

Go Osmotic Pressure = (Concentration of Particle 1+Concentration of Particle 2)*[R]*Temperature

Osmotic Pressure for Non Electrolyte

Go Osmotic Pressure = Molar Concentration of Solute*[R]*Temperature

Osmotic Pressure given Density of Solution

Go Osmotic Pressure = Density of Solution*[g]*Equilibrium Height

Freezing Point Depression Formula

Depression in Freezing Point = Cryoscopic Constant*Molality
ΔT_f = k_f*m

Explain Freezing Point Depression

The Freezing point depression is the temperature at which the liquid solvent and solid solvent are at equilibrium so that their vapor pressures are equal. When a non-volatile solute is added to a volatile liquid solvent, the solution vapor pressure will be lower than that of the pure solvent. As a result, the solid will reach equilibrium with the solution at a lower temperature than with the pure solvent.

How to Calculate Freezing Point Depression?

Freezing Point Depression calculator uses Depression in Freezing Point = Cryoscopic Constant*Molality to calculate the Depression in Freezing Point, Freezing point depression is the decrease of the freezing point of a solvent on the addition of a non-volatile solute. Depression in Freezing Point is denoted by ΔT_f symbol.

How to calculate Freezing Point Depression using this online calculator? To use this online calculator for Freezing Point Depression, enter Cryoscopic Constant (k_f) & Molality (m) and hit the calculate button. Here is how the Freezing Point Depression calculation can be explained with given input values -> 276.4669 = 6.65*1.79.

FAQ

What is Freezing Point Depression?

Freezing point depression is the decrease of the freezing point of a solvent on the addition of a non-volatile solute and is represented as ΔT_f = k_f*m or Depression in Freezing Point = Cryoscopic Constant*Molality. The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent & Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.

How to calculate Freezing Point Depression?

Freezing point depression is the decrease of the freezing point of a solvent on the addition of a non-volatile solute is calculated using Depression in Freezing Point = Cryoscopic Constant*Molality. To calculate Freezing Point Depression, you need Cryoscopic Constant (k_f) & Molality (m). With our tool, you need to enter the respective value for Cryoscopic Constant & Molality and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depression in Freezing Point?

In this formula, Depression in Freezing Point uses Cryoscopic Constant & Molality. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depression in Freezing Point = Cryoscopic Constant*Molality
Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
Depression in Freezing Point = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*(Solvent Freezing Point^2))/(Vapour Pressure of Pure Solvent*Molar Enthalpy of Fusion)

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