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

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✖The Ebullioscopic Constant of Solvent relates molality to boiling point elevation.ⓘ Ebullioscopic Constant of Solvent [k_b]			+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%
✖The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.ⓘ Molar Mass of Solvent [M_solvent]			+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.ⓘ Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization [T_bp]

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

STEP 0: Pre-Calculation Summary

Formula Used

Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Molar Enthalpy of Vaporization)/([R]*Molar Mass of Solvent))
T_bp = sqrt((k_b*1000*ΔH_vap)/([R]*M_solvent))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
Ebullioscopic Constant of Solvent - (Measured in Kelvin Kilogram per Mole) - The Ebullioscopic Constant of Solvent relates molality to boiling point elevation.
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.
Molar Mass of Solvent - (Measured in Kilogram) - The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.

STEP 1: Convert Input(s) to Base Unit

Ebullioscopic Constant of Solvent: 0.512 Kelvin Kilogram per Mole --> 0.512 Kelvin Kilogram per Mole No Conversion Required
Molar Enthalpy of Vaporization: 40.7 Kilojoule per Mole --> 40700 Joule per Mole (Check conversion here)
Molar Mass of Solvent: 400 Kilogram --> 400 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_bp = sqrt((k_b*1000*ΔH_vap)/([R]*M_solvent)) --> sqrt((0.512*1000*40700)/([R]*400))

Evaluating ... ...

T_bp = 79.1562291187867

STEP 3: Convert Result to Output's Unit

79.1562291187867 Kelvin --> No Conversion Required

FINAL ANSWER

79.1562291187867 ≈ 79.15623 Kelvin <-- Solvent Boiling Point

(Calculation completed in 00.004 seconds)

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< Elevation in Boiling Point Calculators

Ebullioscopic Constant using Molar Enthalpy of Vaporization

LaTeX 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

LaTeX 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

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

Elevation in Boiling Point of Solvent

LaTeX Go Boiling Point Elevation = Ebullioscopic Constant of Solvent*Molality

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

LaTeX Go

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

What is Ebullioscopic constant?

The term ebullioscopy comes from the Latin language and means "boiling measurement". 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. This property of elevation of boiling point is a colligative property. It means that the property, in this case ΔT, depends on the number of particles dissolved into the solvent and not the nature of those particles.

How to Calculate Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization?

Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization calculator uses Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Molar Enthalpy of Vaporization)/([R]*Molar Mass of Solvent)) to calculate the Solvent Boiling Point, The Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization is the temperature at which the vapor pressure of a liquid equals the pressure surrounding the liquid and the liquid changes into a vapor. Solvent Boiling Point is denoted by T_bp symbol.

How to calculate Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization using this online calculator? To use this online calculator for Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization, enter Ebullioscopic Constant of Solvent (k_b), Molar Enthalpy of Vaporization (ΔH_vap) & Molar Mass of Solvent (M_solvent) and hit the calculate button. Here is how the Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization calculation can be explained with given input values -> 79.15623 = sqrt((0.512*1000*40700)/([R]*400)).

FAQ

What is Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization?

The Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization is the temperature at which the vapor pressure of a liquid equals the pressure surrounding the liquid and the liquid changes into a vapor and is represented as T_bp = sqrt((k_b*1000*ΔH_vap)/([R]*M_solvent)) or Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Molar Enthalpy of Vaporization)/([R]*Molar Mass of Solvent)). The Ebullioscopic Constant of Solvent relates molality to boiling point elevation, 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 Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.

How to calculate Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization?

The Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization is the temperature at which the vapor pressure of a liquid equals the pressure surrounding the liquid and the liquid changes into a vapor is calculated using Solvent Boiling Point = sqrt((Ebullioscopic Constant of Solvent*1000*Molar Enthalpy of Vaporization)/([R]*Molar Mass of Solvent)). To calculate Boiling point of Solvent given Ebullioscopic Constant and Molar Enthalpy of Vaporization, you need Ebullioscopic Constant of Solvent (k_b), Molar Enthalpy of Vaporization (ΔH_vap) & Molar Mass of Solvent (M_solvent). With our tool, you need to enter the respective value for Ebullioscopic Constant of Solvent, Molar Enthalpy of Vaporization & Molar Mass of Solvent 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 Solvent Boiling Point?

In this formula, Solvent Boiling Point uses Ebullioscopic Constant of Solvent, Molar Enthalpy of Vaporization & Molar Mass of Solvent. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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