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Depression in Freezing Point given Elevation in Boiling Point Calculator

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✖The Molar Enthalpy of Vaporization is the amount of energy needed to change one mole of a substance from the liquid phase to the gas phase at constant temperature and pressure.ⓘ Molar Enthalpy of Vaporization [ΔH_vap]			+10% -10%
✖The Elevation in Boiling Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added.ⓘ Elevation in Boiling Point [ΔT_b]			+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%
✖Solvent boiling point is the temperature at which the vapor pressure of the solvent equals the pressure surrounding and changes into a vapor.ⓘ Solvent Boiling Point [T_bp]			+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 Elevation in Boiling Point [ΔT_f]

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Depression in Freezing Point given Elevation in Boiling Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
ΔT_f = (ΔH_vap*ΔT_b*(T_fp^2))/(ΔH_fusion*(T_bp^2))
This formula uses 6 Variables

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.
Molar Enthalpy of Vaporization - (Measured in Joule per Mole) - The Molar Enthalpy of Vaporization is the amount of energy needed to change one mole of a substance from the liquid phase to the gas phase at constant temperature and pressure.
Elevation in Boiling Point - (Measured in Kelvin) - The Elevation in Boiling Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added.
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.
Solvent Boiling Point - (Measured in Kelvin) - Solvent boiling point is the temperature at which the vapor pressure of the solvent equals the pressure surrounding and changes into a vapor.

STEP 1: Convert Input(s) to Base Unit

Molar Enthalpy of Vaporization: 40.7 Kilojoule per Mole --> 40700 Joule per Mole (Check conversion here)
Elevation in Boiling Point: 300 Kelvin --> 300 Kelvin 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)
Solvent Boiling Point: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_f = (ΔH_vap*ΔT_b*(T_fp^2))/(ΔH_fusion*(T_bp^2)) --> (40700*300*(430^2))/(333500*(15^2))

Evaluating ... ...

ΔT_f = 30086.6766616692

STEP 3: Convert Result to Output's Unit

30086.6766616692 Kelvin --> No Conversion Required

FINAL ANSWER

30086.6766616692 ≈ 30086.68 Kelvin <-- Depression in Freezing Point

(Calculation completed in 00.020 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 Elevation in Boiling Point 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 Elevation in Boiling Point?

Depression in Freezing Point given Elevation in Boiling Point calculator uses Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)) to calculate the Depression in Freezing Point, The Depression in Freezing Point given Elevation in Boiling Point 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 Elevation in Boiling Point using this online calculator? To use this online calculator for Depression in Freezing Point given Elevation in Boiling Point, enter Molar Enthalpy of Vaporization (ΔH_vap), Elevation in Boiling Point (ΔT_b), Solvent Freezing Point (T_fp), Molar Enthalpy of Fusion (ΔH_fusion) & Solvent Boiling Point (T_bp) and hit the calculate button. Here is how the Depression in Freezing Point given Elevation in Boiling Point calculation can be explained with given input values -> 30086.68 = (40700*300*(430^2))/(333500*(15^2)).

FAQ

What is Depression in Freezing Point given Elevation in Boiling Point?

The Depression in Freezing Point given Elevation in Boiling Point 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 = (ΔH_vap*ΔT_b*(T_fp^2))/(ΔH_fusion*(T_bp^2)) or Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)). The Molar Enthalpy of Vaporization is the amount of energy needed to change one mole of a substance from the liquid phase to the gas phase at constant temperature and pressure, The Elevation in Boiling Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added, 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 & Solvent boiling point is the temperature at which the vapor pressure of the solvent equals the pressure surrounding and changes into a vapor.

How to calculate Depression in Freezing Point given Elevation in Boiling Point?

The Depression in Freezing Point given Elevation in Boiling Point 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 = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)). To calculate Depression in Freezing Point given Elevation in Boiling Point, you need Molar Enthalpy of Vaporization (ΔH_vap), Elevation in Boiling Point (ΔT_b), Solvent Freezing Point (T_fp), Molar Enthalpy of Fusion (ΔH_fusion) & Solvent Boiling Point (T_bp). With our tool, you need to enter the respective value for Molar Enthalpy of Vaporization, Elevation in Boiling Point, Solvent Freezing Point, Molar Enthalpy of Fusion & Solvent Boiling Point 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 Molar Enthalpy of Vaporization, Elevation in Boiling Point, Solvent Freezing Point, Molar Enthalpy of Fusion & Solvent Boiling Point. 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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