Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
Tfp = sqrt((kf*1000*ΔHfusion)/([R]*Msolvent))
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 Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
Cryoscopic Constant - (Measured in Kelvin Kilogram per Mole) - The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)
Molar Mass of Solvent: 400 Kilogram --> 400000 Gram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tfp = sqrt((kf*1000*ΔHfusion)/([R]*Msolvent)) --> sqrt((6.65*1000*333500)/([R]*400000))
Evaluating ... ...
Tfp = 25.8232948229347
STEP 3: Convert Result to Output's Unit
25.8232948229347 Kelvin --> No Conversion Required
FINAL ANSWER
25.8232948229347 25.82329 Kelvin <-- Solvent Freezing Point
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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23 Depression in Freezing Point Calculators

Depression in Freezing Point given Vapour Pressure
Go Depression in Freezing Point = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*(Solvent Freezing Point^2))/(Vapour Pressure of Pure Solvent*Molar Enthalpy of Fusion)
Depression in Freezing Point given Elevation in Boiling Point
Go Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
Relative Lowering of Vapour Pressure given Depression in Freezing Point
Go Relative Lowering of Vapour Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Molar Enthalpy of Fusion given Freezing point of solvent
Go Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant)
Cryoscopic Constant given Molar Enthalpy of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)
Molar Mass of Solvent given Cryoscopic Constant
Go Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)
Depression in Freezing Point given Osmotic Pressure
Go Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
Solvent Freezing Point given Molal Freezing Point Lowering Constant
Go Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))
Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
Depression in Freezing Point given Relative Lowering of Vapour Pressure
Go Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion
Solvent Molecular Weight given Molal Freezing Point Lowering Constant
Go Solvent Molecular Weight = (Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*(Solvent Freezing Point^2))
Molal Freezing Point Lowering Constant
Go Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000)
Latent Heat of Fusion given Freezing Point of Solvent
Go Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)
Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion
Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
Cryoscopic Constant given Latent Heat of Fusion
Go Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
Van't Hoff Factor of Electrolyte given Depression in Freezing Point
Go Van't Hoff Factor = Depression in Freezing Point/(Cryoscopic Constant*Molality)
Cryoscopic Constant given Depression in Freezing Point
Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
Molality given Depression in Freezing Point
Go Molality = Depression in Freezing Point/(Cryoscopic Constant*Van't Hoff Factor)
Van't Hoff equation for Depression in Freezing Point of electrolyte
Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
Molal Freezing Point Constant given Freezing Point Depression
Go Molal freezing point constant = Depression in Freezing Point/Molality
Molality given Freezing Point Depression
Go Molality = Depression in Freezing Point/Molal freezing point constant
Depression in Freezing Point of Solvent
Go Depression in Freezing Point = Cryoscopic Constant*Molality
Freezing Point Depression
Go Depression in Freezing Point = Cryoscopic Constant*Molality

Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion Formula

Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
Tfp = sqrt((kf*1000*ΔHfusion)/([R]*Msolvent))

What is the Cryoscopic Constant?

It is also called molal depression constant. A cryoscopic constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent. The cryoscopic constant is denoted by kf. Its unit is k.kg.mol−1. It depends on the molar mass of the solute in the solution.

How to Calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?

Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion calculator uses Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)) to calculate the Solvent Freezing Point, The Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is the temperature at which the liquid solvent turns into solid when cooled. Solvent Freezing Point is denoted by Tfp symbol.

How to calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion using this online calculator? To use this online calculator for Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion, enter Cryoscopic Constant (kf), Molar Enthalpy of Fusion (ΔHfusion) & Molar Mass of Solvent (Msolvent) and hit the calculate button. Here is how the Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion calculation can be explained with given input values -> 13.63134 = sqrt((6.65*1000*333500)/([R]*400)).

FAQ

What is Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?
The Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is the temperature at which the liquid solvent turns into solid when cooled and is represented as Tfp = sqrt((kf*1000*ΔHfusion)/([R]*Msolvent)) or Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)). The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent, 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 Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.
How to calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?
The Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is the temperature at which the liquid solvent turns into solid when cooled is calculated using Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)). To calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion, you need Cryoscopic Constant (kf), Molar Enthalpy of Fusion (ΔHfusion) & Molar Mass of Solvent (Msolvent). With our tool, you need to enter the respective value for Cryoscopic Constant, Molar Enthalpy of Fusion & 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 Freezing Point?
In this formula, Solvent Freezing Point uses Cryoscopic Constant, Molar Enthalpy of Fusion & Molar Mass of Solvent. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
  • Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))
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