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Depression in Freezing Point given Vapour Pressure Calculator

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✖The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute.ⓘ Vapour Pressure of Pure Solvent [Po_A]			+10% -10%
✖The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute.ⓘ Vapour Pressure of Solvent in Solution [P_A]			+10% -10%
✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%
✖The Molar Enthalpy of Fusion is the amount of energy needed to change one mole of a substance from the solid phase to the liquid phase at constant temperature and pressure.ⓘ Molar Enthalpy of Fusion [ΔH_fusion]			+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.ⓘ Depression in Freezing Point given Vapour Pressure [ΔT_f]

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Depression in Freezing Point given Vapour Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
ΔT_f = ((Po_A-P_A)*[R]*(T_fp^2))/(Po_A*ΔH_fusion)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Depression in Freezing Point - (Measured in Kelvin) - 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.
Vapour Pressure of Pure Solvent - (Measured in Pascal) - The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute.
Vapour Pressure of Solvent in Solution - (Measured in Pascal) - The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute.
Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
Molar Enthalpy of Fusion - (Measured in Joule per Mole) - The Molar Enthalpy of Fusion is the amount of energy needed to change one mole of a substance from the solid phase to the liquid phase at constant temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Vapour Pressure of Pure Solvent: 20000 Pascal --> 20000 Pascal No Conversion Required
Vapour Pressure of Solvent in Solution: 15000 Pascal --> 15000 Pascal No Conversion Required
Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_f = ((Po_A-P_A)*[R]*(T_fp^2))/(Po_A*ΔH_fusion) --> ((20000-15000)*[R]*(430^2))/(20000*333500)

Evaluating ... ...

ΔT_f = 1.15243188762859

STEP 3: Convert Result to Output's Unit

1.15243188762859 Kelvin --> No Conversion Required

FINAL ANSWER

1.15243188762859 ≈ 1.152432 Kelvin <-- Depression in Freezing Point

(Calculation completed in 00.004 seconds)

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< Depression in Freezing Point Calculators

Cryoscopic Constant given Molar Enthalpy of Fusion

LaTeX 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

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

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

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

Depression in Freezing Point of Solvent

LaTeX Go Depression in Freezing Point = Cryoscopic Constant*Molality

Depression in Freezing Point given Vapour Pressure Formula

LaTeX Go

What is the Cryoscopic Constant?

It is also called molal depression constant. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent. The cryoscopic constant is denoted by kf. Its unit is k.kg.mol−1. It depends on the molar mass of the solute in the solution.

How to Calculate Depression in Freezing Point given Vapour Pressure?

Depression in Freezing Point given Vapour Pressure calculator uses 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) to calculate the Depression in Freezing Point, The Depression in Freezing Point given Vapour Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m. Depression in Freezing Point is denoted by ΔT_f symbol.

How to calculate Depression in Freezing Point given Vapour Pressure using this online calculator? To use this online calculator for Depression in Freezing Point given Vapour Pressure, enter Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Freezing Point (T_fp) & Molar Enthalpy of Fusion (ΔH_fusion) and hit the calculate button. Here is how the Depression in Freezing Point given Vapour Pressure calculation can be explained with given input values -> 1.152432 = ((20000-15000)*[R]*(430^2))/(20000*333500).

FAQ

What is Depression in Freezing Point given Vapour Pressure?

The Depression in Freezing Point given Vapour Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m and is represented as ΔT_f = ((Po_A-P_A)*[R]*(T_fp^2))/(Po_A*ΔH_fusion) or 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). The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute, The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute, Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state & The Molar Enthalpy of Fusion is the amount of energy needed to change one mole of a substance from the solid phase to the liquid phase at constant temperature and pressure.

How to calculate Depression in Freezing Point given Vapour Pressure?

The Depression in Freezing Point given Vapour Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m is calculated using 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). To calculate Depression in Freezing Point given Vapour Pressure, you need Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Freezing Point (T_fp) & Molar Enthalpy of Fusion (ΔH_fusion). With our tool, you need to enter the respective value for Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Solvent Freezing Point & Molar Enthalpy of Fusion 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 Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Solvent Freezing Point & Molar Enthalpy of Fusion. 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 = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))

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