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Elevation in Boiling 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 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%

✖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 Vapour Pressure [ΔT_b]

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Formula

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Elevation in Boiling Point given Vapour Pressure

Formula

ΔT b = \frac{(Po A - P A) \cdot [R] \cdot ({T bp}^{2})}{ΔH vap \cdot Po A}

Example

0.011491 K = \frac{(20000 Pa - 15000 Pa) \cdot [R] \cdot ({15 K}^{2})}{40.7 kJ/mol \cdot 20000 Pa}

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Elevation in Boiling Point given Vapour Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
ΔT_b = ((Po_A-P_A)*[R]*(T_bp^2))/(ΔH_vap*Po_A)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
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 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.

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 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔT_b = ((Po_A-P_A)*[R]*(T_bp^2))/(ΔH_vap*Po_A) --> ((20000-15000)*[R]*(15^2))/(40700*20000)

Evaluating ... ...

ΔT_b = 0.0114911184833199

STEP 3: Convert Result to Output's Unit

0.0114911184833199 Kelvin --> No Conversion Required

FINAL ANSWER

0.0114911184833199 ≈ 0.011491 Kelvin <-- Boiling Point Elevation

(Calculation completed in 00.004 seconds)

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< Elevation in Boiling Point Calculators

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)

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)

Ebullioscopic Constant given Elevation in Boiling Point

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

Elevation in Boiling Point of Solvent

Go Boiling Point Elevation = Ebullioscopic Constant of Solvent*Molality

Elevation in Boiling Point given Vapour Pressure 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 Vapour Pressure?

Elevation in Boiling Point given Vapour Pressure calculator uses 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) to calculate the Boiling Point Elevation, The Elevation in Boiling Point given Vapour Pressure 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 Vapour Pressure using this online calculator? To use this online calculator for Elevation in Boiling Point given Vapour Pressure, enter Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Boiling Point (T_bp) & Molar Enthalpy of Vaporization (ΔH_vap) and hit the calculate button. Here is how the Elevation in Boiling Point given Vapour Pressure calculation can be explained with given input values -> 0.011491 = ((20000-15000)*[R]*(15^2))/(40700*20000).

FAQ

What is Elevation in Boiling Point given Vapour Pressure?

The Elevation in Boiling Point given Vapour Pressure 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 = ((Po_A-P_A)*[R]*(T_bp^2))/(ΔH_vap*Po_A) or 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). 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 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.

How to calculate Elevation in Boiling Point given Vapour Pressure?

The Elevation in Boiling Point given Vapour Pressure 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 = ((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). To calculate Elevation in Boiling Point given Vapour Pressure, you need Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Boiling Point (T_bp) & Molar Enthalpy of Vaporization (ΔH_vap). With our tool, you need to enter the respective value for Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Solvent Boiling Point & Molar Enthalpy of Vaporization 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 Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Solvent Boiling Point & Molar Enthalpy of Vaporization. We can use 3 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 = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2))

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