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))
ΔTb = (ΔHfusion*ΔTf*(Tbp^2))/(ΔHvap*(Tfp^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
ΔTb = (ΔHfusion*ΔTf*(Tbp^2))/(ΔHvap*(Tfp^2)) --> (333500*12*(15^2))/(40700*(430^2))
Evaluating ... ...
ΔTb = 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 00.022 seconds)

Credits

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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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

Elevation in Boiling Point given Depression in Freezing Point Formula

​LaTeX ​Go
Boiling Point Elevation = (Molar Enthalpy of Fusion*Depression in Freezing Point*(Solvent Boiling Point^2))/(Molar Enthalpy of Vaporization*(Solvent Freezing Point^2))
ΔTb = (ΔHfusion*ΔTf*(Tbp^2))/(ΔHvap*(Tfp^2))

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 ΔTb 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 (ΔHfusion), Depression in Freezing Point (ΔTf), Solvent Boiling Point (Tbp), Molar Enthalpy of Vaporization (ΔHvap) & Solvent Freezing Point (Tfp) 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 ΔTb = (ΔHfusion*ΔTf*(Tbp^2))/(ΔHvap*(Tfp^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 (ΔHfusion), Depression in Freezing Point (ΔTf), Solvent Boiling Point (Tbp), Molar Enthalpy of Vaporization (ΔHvap) & Solvent Freezing Point (Tfp). 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 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 = ((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)
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