Freezing Point Depression Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depression in Freezing Point = Cryoscopic Constant*Molality
ΔTf = kf*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
ΔTf = kf*m --> 6.65*1.79
Evaluating ... ...
ΔTf = 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)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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23 Depression in Freezing Point Calculators

Depression in Freezing Point given Vapour Pressure
Go 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)
Depression in Freezing Point given Elevation in Boiling Point
Go Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
Relative Lowering of Vapour Pressure given Depression in Freezing Point
Go Relative Lowering of Vapour Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Molar Enthalpy of Fusion given Freezing point of solvent
Go Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant)
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)
Molar Mass of Solvent given Cryoscopic Constant
Go Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Depression in Freezing Point given Osmotic Pressure
Go Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
Solvent Freezing Point given Molal Freezing Point Lowering Constant
Go Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))
Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
Depression in Freezing Point given Relative Lowering of Vapour Pressure
Go Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion
Solvent Molecular Weight given Molal Freezing Point Lowering Constant
Go Solvent Molecular Weight = (Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*(Solvent Freezing Point^2))
Molal Freezing Point Lowering Constant
Go Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000)
Latent Heat of Fusion given Freezing Point of Solvent
Go Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)
Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
Cryoscopic Constant given Latent Heat of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
Van't Hoff Factor of Electrolyte given Depression in Freezing Point
Go Van't Hoff Factor = Depression in Freezing Point/(Cryoscopic Constant*Molality)
Cryoscopic Constant given Depression in Freezing Point
Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
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
Molal Freezing Point Constant given Freezing Point Depression
Go Molal freezing point constant = Depression in Freezing Point/Molality
Molality given Freezing Point Depression
Go Molality = Depression in Freezing Point/Molal freezing point constant
Depression in Freezing Point of Solvent
Go Depression in Freezing Point = Cryoscopic Constant*Molality
Freezing Point Depression
Go Depression in Freezing Point = Cryoscopic Constant*Molality

22 Important Formulas of Colligative Properties Calculators

Van't Hoff Osmotic Pressure for Mixture of Two Solutions
Go Osmotic Pressure = ((Van't Hoff Factor of Particle 1*Concentration of Particle 1)+(Van't Hoff Factor of Particle 2*Concentration of Particle 2))*[R]*Temperature
Osmotic Pressure given Vapour Pressure
Go Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent)
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))
Relative Lowering of Vapour Pressure
Go Relative Lowering of Vapour Pressure = (Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)/Vapour Pressure of Pure Solvent
Van't Hoff Osmotic Pressure for Electrolyte
Go Osmotic Pressure = Van't Hoff Factor*Molar Concentration of Solute*Universal Gas Constant*Temperature
Ebullioscopic Constant using Latent Heat of Vaporization
Go Ebullioscopic Constant of Solvent = ([R]*Solvent BP given Latent Heat of Vaporization^2)/(1000*Latent Heat of Vaporization)
Osmotic Pressure given Concentration of Two Substances
Go Osmotic Pressure = (Concentration of Particle 1+Concentration of Particle 2)*[R]*Temperature
Ostwald-Walker Dynamic Method for Relative Lowering of Vapour Pressure
Go Relative Lowering of Vapour Pressure = Loss of Mass in Bulb Set B/(Loss of Mass in bulb set A+Loss of Mass in Bulb Set B)
Relative Lowering of Vapour Pressure given Number of Moles for Concentrated Solution
Go Relative Lowering of Vapour Pressure = Number of Moles of Solute/(Number of Moles of Solute+Number of Moles of Solvent)
Osmotic Pressure given Relative Lowering of Vapour Pressure
Go Osmotic Pressure = (Relative Lowering of Vapour Pressure*[R]*Temperature)/Molar Volume
Cryoscopic Constant given Latent Heat of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
Van't Hoff Relative Lowering of Vapour Pressure given Molecular Mass and Molality
Go Colligative Pressure given Van't Hoff factor = (Van't Hoff Factor*Molality*Molecular Mass Solvent)/1000
Ebullioscopic Constant given Elevation in Boiling Point
Go Ebullioscopic Constant of Solvent = Boiling Point Elevation/(Van't Hoff Factor*Molality)
Van't Hoff Equation for Elevation in Boiling Point of Electrolyte
Go Boiling Point Elevation = Van't Hoff Factor*Ebullioscopic Constant of Solvent*Molality
Cryoscopic Constant given Depression in Freezing Point
Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
Van't Hoff equation for Depression in Freezing Point of electrolyte
Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
Total Concentration of Particles using Osmotic Pressure
Go Molar Concentration of Solute = Osmotic Pressure/([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
Relative Lowering of Vapour Pressure given Number of Moles for Dilute Solution
Go Relative Lowering of Vapour Pressure = Number of Moles of Solute/Number of Moles of Solvent
Boiling Point Elevation
Go Boiling Point Elevation = Molal Boiling Point Elevation Constant*Molality
Freezing Point Depression
Go Depression in Freezing Point = Cryoscopic Constant*Molality

Freezing Point Depression Formula

Depression in Freezing Point = Cryoscopic Constant*Molality
ΔTf = kf*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 ΔTf symbol.

How to calculate Freezing Point Depression using this online calculator? To use this online calculator for Freezing Point Depression, enter Cryoscopic Constant (kf) & 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 ΔTf = kf*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 (kf) & 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 7 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)
  • Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
  • Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
  • Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion
  • Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
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