Cryoscopic Constant given Latent Heat of Fusion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
kf = ([R]*Tf^2)/(1000*Lfusion)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
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.
Solvent Freezing Point for Cryoscopic Constant - (Measured in Kelvin) - Solvent Freezing Point for Cryoscopic Constant is the temperature at which the solvent freezes from liquid to solid state.
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.
STEP 1: Convert Input(s) to Base Unit
Solvent Freezing Point for Cryoscopic Constant: 500 Kelvin --> 500 Kelvin No Conversion Required
Latent Heat of Fusion: 334 Joule per Kilogram --> 334 Joule per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kf = ([R]*Tf^2)/(1000*Lfusion) --> ([R]*500^2)/(1000*334)
Evaluating ... ...
kf = 6.22340016328835
STEP 3: Convert Result to Output's Unit
6.22340016328835 Kelvin Kilogram per Mole --> No Conversion Required
FINAL ANSWER
6.22340016328835 6.2234 Kelvin Kilogram per Mole <-- Cryoscopic Constant
(Calculation completed in 00.004 seconds)

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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

22 Important Formulas of Colligative Properties Calculators

Van't Hoff Osmotic Pressure for Mixture of Two Solutions
Go Osmotic Pressure = ((Van't Hoff Factor of Particle 1*Concentration of Particle 1)+(Van't Hoff Factor of Particle 2*Concentration of Particle 2))*[R]*Temperature
Osmotic Pressure given Vapour Pressure
Go Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent)
Osmotic Pressure given Depression in Freezing Point
Go Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2))
Relative Lowering of Vapour Pressure
Go Relative Lowering of Vapour Pressure = (Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)/Vapour Pressure of Pure Solvent
Van't Hoff Osmotic Pressure for Electrolyte
Go Osmotic Pressure = Van't Hoff Factor*Molar Concentration of Solute*Universal Gas Constant*Temperature
Ebullioscopic Constant using Latent Heat of Vaporization
Go Ebullioscopic Constant of Solvent = ([R]*Solvent BP given Latent Heat of Vaporization^2)/(1000*Latent Heat of Vaporization)
Osmotic Pressure given Concentration of Two Substances
Go Osmotic Pressure = (Concentration of Particle 1+Concentration of Particle 2)*[R]*Temperature
Ostwald-Walker Dynamic Method for Relative Lowering of Vapour Pressure
Go Relative Lowering of Vapour Pressure = Loss of Mass in Bulb Set B/(Loss of Mass in bulb set A+Loss of Mass in Bulb Set B)
Relative Lowering of Vapour Pressure given Number of Moles for Concentrated Solution
Go Relative Lowering of Vapour Pressure = Number of Moles of Solute/(Number of Moles of Solute+Number of Moles of Solvent)
Osmotic Pressure given Relative Lowering of Vapour Pressure
Go Osmotic Pressure = (Relative Lowering of Vapour Pressure*[R]*Temperature)/Molar Volume
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 Relative Lowering of Vapour Pressure given Molecular Mass and Molality
Go Colligative Pressure given Van't Hoff factor = (Van't Hoff Factor*Molality*Molecular Mass Solvent)/1000
Ebullioscopic Constant given Elevation in Boiling Point
Go Ebullioscopic Constant of Solvent = Boiling Point Elevation/(Van't Hoff Factor*Molality)
Van't Hoff Equation for Elevation in Boiling Point of Electrolyte
Go Boiling Point Elevation = Van't Hoff Factor*Ebullioscopic Constant of Solvent*Molality
Cryoscopic Constant given Depression in Freezing Point
Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
Van't Hoff equation for Depression in Freezing Point of electrolyte
Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
Total Concentration of Particles using Osmotic Pressure
Go Molar Concentration of Solute = Osmotic Pressure/([R]*Temperature)
Osmotic Pressure for Non Electrolyte
Go Osmotic Pressure = Molar Concentration of Solute*[R]*Temperature
Osmotic Pressure given Density of Solution
Go Osmotic Pressure = Density of Solution*[g]*Equilibrium Height
Relative Lowering of Vapour Pressure given Number of Moles for Dilute Solution
Go Relative Lowering of Vapour Pressure = Number of Moles of Solute/Number of Moles of Solvent
Boiling Point Elevation
Go Boiling Point Elevation = Molal Boiling Point Elevation Constant*Molality
Freezing Point Depression
Go Depression in Freezing Point = Cryoscopic Constant*Molality

Cryoscopic Constant given Latent Heat of Fusion Formula

Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
kf = ([R]*Tf^2)/(1000*Lfusion)

What is Latent Heat of Fusion?

The latent heat of fusion is the enthalpy change of any amount of substance when it melts. When the heat of fusion is referenced to a unit of mass, it is usually called the specific heat of fusion, while the molar heat of fusion refers to the enthalpy change per amount of substance in moles.

How to Calculate Cryoscopic Constant given Latent Heat of Fusion?

Cryoscopic Constant given Latent Heat of Fusion calculator uses Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion) to calculate the Cryoscopic Constant, The Cryoscopic Constant given Latent Heat of Fusion 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. Cryoscopic Constant is denoted by kf symbol.

How to calculate Cryoscopic Constant given Latent Heat of Fusion using this online calculator? To use this online calculator for Cryoscopic Constant given Latent Heat of Fusion, enter Solvent Freezing Point for Cryoscopic Constant (Tf) & Latent Heat of Fusion (Lfusion) and hit the calculate button. Here is how the Cryoscopic Constant given Latent Heat of Fusion calculation can be explained with given input values -> 6.2234 = ([R]*500^2)/(1000*334).

FAQ

What is Cryoscopic Constant given Latent Heat of Fusion?
The Cryoscopic Constant given Latent Heat of Fusion 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 and is represented as kf = ([R]*Tf^2)/(1000*Lfusion) or Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion). Solvent Freezing Point for Cryoscopic Constant is the temperature at which the solvent freezes from liquid to solid state & 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.
How to calculate Cryoscopic Constant given Latent Heat of Fusion?
The Cryoscopic Constant given Latent Heat of Fusion 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 is calculated using Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion). To calculate Cryoscopic Constant given Latent Heat of Fusion, you need Solvent Freezing Point for Cryoscopic Constant (Tf) & Latent Heat of Fusion (Lfusion). With our tool, you need to enter the respective value for Solvent Freezing Point for Cryoscopic Constant & Latent Heat of Fusion 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 Cryoscopic Constant?
In this formula, Cryoscopic Constant uses Solvent Freezing Point for Cryoscopic Constant & Latent Heat of Fusion. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)
  • Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
  • Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)
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