Elevation in Boiling Point given Depression in Freezing Point Calculator

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Elevation in Boiling Point

Clausius-Clapeyron Equation

Depression in Freezing Point

Gibb's Phase Rule

Immiscible Liquids

Important Formulas of Clausius-Clapeyron Equation

Important Formulas of Colligative Properties

Osmotic Pressure

Relative Lowering of Vapour Pressure

Van't Hoff Factor

✖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 [ΔT_f]			+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 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%
✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%

✖Boiling point elevation refers to the increase in the boiling point of a solvent upon the addition of a solute.ⓘ Elevation in Boiling Point given Depression in Freezing Point [ΔT_b]

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Formula

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Elevation in Boiling Point given Depression in Freezing Point

Formula

`"ΔT"_{"b"} = ("ΔH"_{"fusion"}*"ΔT"_{"f"}*("T"_{"bp"}^2))/("ΔH"_{"vap"}*("T"_{"fp"}^2))`

Example

`"0.119654K"=("333.5kJ/mol"*"12K"*(("15K")^2))/("40.7kJ/mol"*(("430K")^2))`

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Elevation in Boiling Point given Depression in Freezing Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Boiling Point Elevation - (Measured in Kelvin) - Boiling point elevation refers to the increase in the boiling point of a solvent upon the addition of a solute.
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.
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.
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.
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.
Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.

STEP 1: Convert Input(s) to Base Unit

Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)
Depression in Freezing Point: 12 Kelvin --> 12 Kelvin No Conversion Required
Solvent Boiling Point: 15 Kelvin --> 15 Kelvin No Conversion Required
Molar Enthalpy of Vaporization: 40.7 Kilojoule per Mole --> 40700 Joule per Mole (Check conversion here)
Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_b = (ΔH_fusion*ΔT_f*(T_bp^2))/(ΔH_vap*(T_fp^2)) --> (333500*12*(15^2))/(40700*(430^2))

Evaluating ... ...

ΔT_b = 0.119654292179982

STEP 3: Convert Result to Output's Unit

0.119654292179982 Kelvin --> No Conversion Required

FINAL ANSWER

0.119654292179982 ≈ 0.119654 Kelvin <-- Boiling Point Elevation

(Calculation completed in 00.004 seconds)

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< 24 Elevation in Boiling Point Calculators

Elevation in Boiling Point given Vapour Pressure

Go Boiling Point Elevation = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*Vapour Pressure of Pure Solvent)

Elevation in Boiling Point given Depression in Freezing Point

Go Boiling Point Elevation = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2))

Relative Lowering of Vapour Pressure given Elevation in Boiling Point

Go Relative Lowering of Vapour Pressure = (Molar Enthalpy of Vaporization*Boiling Point Elevation)/([R]*Solvent Boiling Point*Solvent Boiling Point)

Ebullioscopic Constant using Molar Enthalpy of Vaporization

Go Ebullioscopic Constant of Solvent = ([R]*Solvent Boiling Point*Solvent Boiling Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Vaporization)

Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization

Go Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Molar Enthalpy of Vaporization)/([R]*Molar Mass of Solvent))

Elevation in Boiling Point given Osmotic Pressure

Go Boiling Point Elevation = (Osmotic Pressure*Molar Volume*(Solvent Boiling Point^2))/(Temperature*Molar Enthalpy of Vaporization)

Osmotic Pressure given Elevation in Boiling Point

Go Osmotic Pressure = (Molar Enthalpy of Vaporization*Boiling Point Elevation*Temperature)/((Solvent Boiling Point^2)*Molar Volume)

Solvent Boiling Point in Boiling Point Elevation

Go Solvent Boiling Point = sqrt((Molal Boiling Point Elevation Constant*Molal Heat of Vaporization*1000)/([R]*Molecular Weight))

Molar Enthalpy of Vaporization given Boiling Point of Solvent

Go Molar Enthalpy of Vaporization = ([R]*(Solvent Boiling Point^2)*Molar Mass of Solvent)/(1000*Ebullioscopic Constant of Solvent)

Molar Mass of Solvent given Ebullioscopic Constant

Go Molar Mass of Solvent = (1000*Ebullioscopic Constant of Solvent*Molar Enthalpy of Vaporization)/([R]*(Solvent Boiling Point^2))

Elevation in Boiling Point given Relative Lowering of Vapour Pressure

Go Boiling Point Elevation = (Relative Lowering of Vapour Pressure*[R]*(Solvent Boiling Point^2))/Molar Enthalpy of Vaporization

Solvent Molecular Weight in Boiling Point Elevation

Go Molecular Weight = (Molal Boiling Point Elevation Constant*Molal Heat of Vaporization*1000)/([R]*(Solvent Boiling Point^2))

Latent Heat of Vaporization given Boiling point of solvent

Go Latent Heat of Vaporization = ([R]*Solvent Boiling Point*Solvent Boiling Point)/(1000*Ebullioscopic Constant of Solvent)

Boiling point of Solvent given Ebullioscopic Constant and Latent Heat of Vaporization

Go Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Latent Heat of Vaporization)/[R])

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)

Molal Boiling Point Elevation Constant given Ideal Gas Constant

Go Molal Boiling Point Elevation Constant = (Universal Gas Constant*(Boiling Point of Solvent)^2*Molecular Weight)/(1000)

Van't Hoff Factor of Electrolyte given Elevation in Boiling Point

Go Van't Hoff Factor = Boiling Point Elevation/(Ebullioscopic Constant of Solvent*Molality)

Ebullioscopic Constant given Elevation in Boiling Point

Go Ebullioscopic Constant of Solvent = Boiling Point Elevation/(Van't Hoff Factor*Molality)

Molality given Elevation in Boiling Point

Go Molality = Boiling Point Elevation/(Van't Hoff Factor*Ebullioscopic Constant of Solvent)

Van't Hoff Equation for Elevation in Boiling Point of Electrolyte

Go Boiling Point Elevation = Van't Hoff Factor*Ebullioscopic Constant of Solvent*Molality

Molal Boiling Point Elevation Constant given Boiling Point Elevation

Go Molal Boiling Point Elevation Constant = Boiling Point Elevation/Molality

Molality given Boiling Point Elevation and Constant

Go Molality = Boiling Point Elevation/Molal Boiling Point Elevation Constant

Boiling Point Elevation

Go Boiling Point Elevation = Molal Boiling Point Elevation Constant*Molality

Elevation in Boiling Point of Solvent

Go Boiling Point Elevation = Ebullioscopic Constant of Solvent*Molality

Elevation in Boiling Point given Depression in Freezing Point Formula

What is Ebullioscopic constant?

Molal elevation constant or ebullioscopic constant is defined as the elevation in boiling point when one mole of non-volatile solute is added to one kilogram of solvent. Ebullioscopic constant is the constant that expresses the amount by which the boiling point of a solvent is raised by a non-dissociating solute. Its units are K Kg mol-1.

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

Elevation in Boiling Point given Depression in Freezing Point calculator uses Boiling Point Elevation = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2)) to calculate the Boiling Point Elevation, The Elevation in Boiling Point given Depression in Freezing Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added, meaning that a solution has a higher boiling point than a pure solvent. Boiling Point Elevation is denoted by ΔT_b symbol.

How to calculate Elevation in Boiling Point given Depression in Freezing Point using this online calculator? To use this online calculator for Elevation in Boiling Point given Depression in Freezing Point, enter Molar Enthalpy of Fusion (ΔH_fusion), Depression in Freezing Point (ΔT_f), Solvent Boiling Point (T_bp), Molar Enthalpy of Vaporization (ΔH_vap) & Solvent Freezing Point (T_fp) and hit the calculate button. Here is how the Elevation in Boiling Point given Depression in Freezing Point calculation can be explained with given input values -> 0.119654 = (333500*12*(15^2))/(40700*(430^2)).

FAQ

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

The Elevation in Boiling Point given Depression in Freezing Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added, meaning that a solution has a higher boiling point than a pure solvent and is represented as ΔT_b = (ΔH_fusion*ΔT_f*(T_bp^2))/(ΔH_vap*(T_fp^2)) or Boiling Point Elevation = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2)). 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, 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, Solvent boiling point is the temperature at which the vapor pressure of the solvent equals the pressure surrounding and changes into a vapor, 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 & Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.

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

The Elevation in Boiling Point given Depression in Freezing Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added, meaning that a solution has a higher boiling point than a pure solvent is calculated using Boiling Point Elevation = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2)). To calculate Elevation in Boiling Point given Depression in Freezing Point, you need Molar Enthalpy of Fusion (ΔH_fusion), Depression in Freezing Point (ΔT_f), Solvent Boiling Point (T_bp), Molar Enthalpy of Vaporization (ΔH_vap) & Solvent Freezing Point (T_fp). With our tool, you need to enter the respective value for Molar Enthalpy of Fusion, Depression in Freezing Point, Solvent Boiling Point, Molar Enthalpy of Vaporization & Solvent Freezing 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 Boiling Point Elevation?

In this formula, Boiling Point Elevation uses Molar Enthalpy of Fusion, Depression in Freezing Point, Solvent Boiling Point, Molar Enthalpy of Vaporization & Solvent Freezing Point. We can use 6 other way(s) to calculate the same, which is/are as follows -

Boiling Point Elevation = Ebullioscopic Constant of Solvent*Molality
Boiling Point Elevation = Van't Hoff Factor*Ebullioscopic Constant of Solvent*Molality
Boiling Point Elevation = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*Vapour Pressure of Pure Solvent)
Boiling Point Elevation = (Osmotic Pressure*Molar Volume*(Solvent Boiling Point^2))/(Temperature*Molar Enthalpy of Vaporization)
Boiling Point Elevation = (Relative Lowering of Vapour Pressure*[R]*(Solvent Boiling Point^2))/Molar Enthalpy of Vaporization
Boiling Point Elevation = Molal Boiling Point Elevation Constant*Molality

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