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Molar Mass of Solvent given Ebullioscopic Constant 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%
✖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 Mass of Solvent is the molar mass of the medium in which the solute is dissolved.ⓘ Molar Mass of Solvent given Ebullioscopic Constant [M_solvent]

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Molar Mass of Solvent given Ebullioscopic Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass of Solvent = (1000*Ebullioscopic Constant of Solvent*Molar Enthalpy of Vaporization)/([R]*(Solvent Boiling Point^2))
M_solvent = (1000*k_b*ΔH_vap)/([R]*(T_bp^2))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molar Mass of Solvent - (Measured in Gram) - The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.
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.
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

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)
Solvent Boiling Point: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_solvent = (1000*k_b*ΔH_vap)/([R]*(T_bp^2)) --> (1000*0.512*40700)/([R]*(15^2))

Evaluating ... ...

M_solvent = 11139.0375258771

STEP 3: Convert Result to Output's Unit

11.1390375258771 Kilogram --> No Conversion Required

FINAL ANSWER

11.1390375258771 ≈ 11.13904 Kilogram <-- Molar Mass of Solvent

(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

Molar Mass of Solvent given Ebullioscopic Constant Formula

LaTeX Go

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

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 Molar Mass of Solvent given Ebullioscopic Constant?

Molar Mass of Solvent given Ebullioscopic Constant calculator uses Molar Mass of Solvent = (1000*Ebullioscopic Constant of Solvent*Molar Enthalpy of Vaporization)/([R]*(Solvent Boiling Point^2)) to calculate the Molar Mass of Solvent, The Molar Mass of Solvent given Ebullioscopic Constant is obtained by summing the molar masses of its component atoms. Molar Mass of Solvent is denoted by M_solvent symbol.

How to calculate Molar Mass of Solvent given Ebullioscopic Constant using this online calculator? To use this online calculator for Molar Mass of Solvent given Ebullioscopic Constant, enter Ebullioscopic Constant of Solvent (k_b), Molar Enthalpy of Vaporization (ΔH_vap) & Solvent Boiling Point (T_bp) and hit the calculate button. Here is how the Molar Mass of Solvent given Ebullioscopic Constant calculation can be explained with given input values -> 11.13904 = (1000*0.512*40700)/([R]*(15^2)).

FAQ

What is Molar Mass of Solvent given Ebullioscopic Constant?

The Molar Mass of Solvent given Ebullioscopic Constant is obtained by summing the molar masses of its component atoms and is represented as M_solvent = (1000*k_b*ΔH_vap)/([R]*(T_bp^2)) or Molar Mass of Solvent = (1000*Ebullioscopic Constant of Solvent*Molar Enthalpy of Vaporization)/([R]*(Solvent Boiling Point^2)). 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 & 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 Molar Mass of Solvent given Ebullioscopic Constant?

The Molar Mass of Solvent given Ebullioscopic Constant is obtained by summing the molar masses of its component atoms is calculated using Molar Mass of Solvent = (1000*Ebullioscopic Constant of Solvent*Molar Enthalpy of Vaporization)/([R]*(Solvent Boiling Point^2)). To calculate Molar Mass of Solvent given Ebullioscopic Constant, you need Ebullioscopic Constant of Solvent (k_b), Molar Enthalpy of Vaporization (ΔH_vap) & Solvent Boiling Point (T_bp). With our tool, you need to enter the respective value for Ebullioscopic Constant of Solvent, Molar Enthalpy of Vaporization & Solvent Boiling Point and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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