Latent Heat of Fusion given Freezing Point of Solvent Solution

STEP 0: Pre-Calculation Summary
Formula Used
Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)
Lfusion = ([R]*Tfp*Tfp)/(1000*kf)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Latent Heat of Fusion - (Measured in Joule per Kilogram) - The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.
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.
STEP 1: Convert Input(s) to Base Unit
Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lfusion = ([R]*Tfp*Tfp)/(1000*kf) --> ([R]*430*430)/(1000*6.65)
Evaluating ... ...
Lfusion = 231.179569638577
STEP 3: Convert Result to Output's Unit
231.179569638577 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
231.179569638577 231.1796 Joule per Kilogram <-- Latent Heat of Fusion
(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

Latent Heat of Fusion given Freezing Point of Solvent Formula

Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)
Lfusion = ([R]*Tfp*Tfp)/(1000*kf)

What is meant by depression in freezing point?

Freezing point depression is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent. When a substance starts to freeze, the molecules slow down due to the decreases in temperature, and the intermolecular forces start to take over.

How to Calculate Latent Heat of Fusion given Freezing Point of Solvent?

Latent Heat of Fusion given Freezing Point of Solvent calculator uses Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant) to calculate the Latent Heat of Fusion, The Latent Heat of Fusion given Freezing Point of Solvent formula is the enthalpy change of any amount of substance when it melts. Latent Heat of Fusion is denoted by Lfusion symbol.

How to calculate Latent Heat of Fusion given Freezing Point of Solvent using this online calculator? To use this online calculator for Latent Heat of Fusion given Freezing Point of Solvent, enter Solvent Freezing Point (Tfp) & Cryoscopic Constant (kf) and hit the calculate button. Here is how the Latent Heat of Fusion given Freezing Point of Solvent calculation can be explained with given input values -> 829.6515 = ([R]*430*430)/(1000*6.65).

FAQ

What is Latent Heat of Fusion given Freezing Point of Solvent?
The Latent Heat of Fusion given Freezing Point of Solvent formula is the enthalpy change of any amount of substance when it melts and is represented as Lfusion = ([R]*Tfp*Tfp)/(1000*kf) or Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant). Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state & The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
How to calculate Latent Heat of Fusion given Freezing Point of Solvent?
The Latent Heat of Fusion given Freezing Point of Solvent formula is the enthalpy change of any amount of substance when it melts is calculated using Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant). To calculate Latent Heat of Fusion given Freezing Point of Solvent, you need Solvent Freezing Point (Tfp) & Cryoscopic Constant (kf). With our tool, you need to enter the respective value for Solvent Freezing Point & Cryoscopic Constant 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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