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Cryoscopic Constant given Molar Enthalpy of Fusion Calculator

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✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%
✖The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.ⓘ Molar Mass of Solvent [M_solvent]			+10% -10%
✖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 Enthalpy of Fusion [ΔH_fusion]			+10% -10%

✖The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.ⓘ Cryoscopic Constant given Molar Enthalpy of Fusion [k_f]

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Formula

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Cryoscopic Constant given Molar Enthalpy of Fusion

Formula

k f = \frac{[R] \cdot T fp \cdot T fp \cdot M solvent}{1000 \cdot ΔH fusion}

Example

1843.891 K*kg/mol = \frac{[R] \cdot 430 K \cdot 430 K \cdot 400 kg}{1000 \cdot 333.5 kJ/mol}

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Cryoscopic Constant given Molar Enthalpy of Fusion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)
k_f = ([R]*T_fp*T_fp*M_solvent)/(1000*ΔH_fusion)
This formula uses 1 Constants, 4 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 - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Molar Mass of Solvent: 400 Kilogram --> 400000 Gram (Check conversion here)
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_f = ([R]*T_fp*T_fp*M_solvent)/(1000*ΔH_fusion) --> ([R]*430*430*400000)/(1000*333500)

Evaluating ... ...

k_f = 1843.89102020574

STEP 3: Convert Result to Output's Unit

1843.89102020574 Kelvin Kilogram per Mole --> No Conversion Required

FINAL ANSWER

1843.89102020574 ≈ 1843.891 Kelvin Kilogram per Mole <-- Cryoscopic Constant

(Calculation completed in 00.004 seconds)

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< Depression in Freezing Point Calculators

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)

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

Depression in Freezing Point of Solvent

Go Depression in Freezing Point = Cryoscopic Constant*Molality

Cryoscopic Constant given Molar Enthalpy of Fusion Formula

Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)
k_f = ([R]*T_fp*T_fp*M_solvent)/(1000*ΔH_fusion)

What is Molar Enthalpy of Fusion?

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. It is also known as the molar heat of fusion. Molar enthalpy of fusion is expressed in units of kilojoules per mole (kJ/mol).

How to Calculate Cryoscopic Constant given Molar Enthalpy of Fusion?

Cryoscopic Constant given Molar Enthalpy of Fusion calculator uses Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion) to calculate the Cryoscopic Constant, The Cryoscopic Constant given Molar Enthalpy of Fusion is given 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 k_f symbol.

How to calculate Cryoscopic Constant given Molar Enthalpy of Fusion using this online calculator? To use this online calculator for Cryoscopic Constant given Molar Enthalpy of Fusion, enter Solvent Freezing Point (T_fp), Molar Mass of Solvent (M_solvent) & Molar Enthalpy of Fusion (ΔH_fusion) and hit the calculate button. Here is how the Cryoscopic Constant given Molar Enthalpy of Fusion calculation can be explained with given input values -> 1843.891 = ([R]*430*430*400)/(1000*333500).

FAQ

What is Cryoscopic Constant given Molar Enthalpy of Fusion?

The Cryoscopic Constant given Molar Enthalpy of Fusion is given 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 k_f = ([R]*T_fp*T_fp*M_solvent)/(1000*ΔH_fusion) or Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion). Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state, The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved & 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.

How to calculate Cryoscopic Constant given Molar Enthalpy of Fusion?

The Cryoscopic Constant given Molar Enthalpy of Fusion is given 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*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion). To calculate Cryoscopic Constant given Molar Enthalpy of Fusion, you need Solvent Freezing Point (T_fp), Molar Mass of Solvent (M_solvent) & Molar Enthalpy of Fusion (ΔH_fusion). With our tool, you need to enter the respective value for Solvent Freezing Point, Molar Mass of Solvent & Molar Enthalpy 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, Molar Mass of Solvent & Molar Enthalpy of Fusion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)
Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)

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