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Molar Enthalpy of Fusion given Freezing point of solvent 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 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 [k_f]			+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 given Freezing point of solvent [ΔH_fusion]

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Molar Enthalpy of Fusion given Freezing point of solvent Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant)
ΔH_fusion = ([R]*T_fp*T_fp*M_solvent)/(1000*k_f)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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.
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
Molar Mass of Solvent: 400 Kilogram --> 400000 Gram (Check conversion here)
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

ΔH_fusion = ([R]*T_fp*T_fp*M_solvent)/(1000*k_f) --> ([R]*430*430*400000)/(1000*6.65)

Evaluating ... ...

ΔH_fusion = 92471827.8554306

STEP 3: Convert Result to Output's Unit

92471827.8554306 Joule per Mole -->92471.8278554306 Kilojoule per Mole (Check conversion here)

FINAL ANSWER

92471.8278554306 ≈ 92471.83 Kilojoule per Mole <-- Molar Enthalpy of Fusion

(Calculation completed in 00.020 seconds)

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< Depression in Freezing Point Calculators

Cryoscopic Constant given Molar Enthalpy of Fusion

LaTeX 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

LaTeX Go Molality = Depression in Freezing Point/(Cryoscopic Constant*Van't Hoff Factor)

Van't Hoff equation for Depression in Freezing Point of electrolyte

LaTeX Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality

Depression in Freezing Point of Solvent

LaTeX Go Depression in Freezing Point = Cryoscopic Constant*Molality

Molar Enthalpy of Fusion given Freezing point of solvent Formula

LaTeX Go

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

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 Molar Enthalpy of Fusion given Freezing point of solvent?

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

How to calculate Molar Enthalpy of Fusion given Freezing point of solvent using this online calculator? To use this online calculator for Molar Enthalpy of Fusion given Freezing point of solvent, enter Solvent Freezing Point (T_fp), Molar Mass of Solvent (M_solvent) & Cryoscopic Constant (k_f) and hit the calculate button. Here is how the Molar Enthalpy of Fusion given Freezing point of solvent calculation can be explained with given input values -> 331.8606 = ([R]*430*430*400)/(1000*6.65).

FAQ

What is Molar Enthalpy of Fusion given Freezing point of solvent?

The Molar Enthalpy of Fusion given Freezing point of solvent 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 and is represented as ΔH_fusion = ([R]*T_fp*T_fp*M_solvent)/(1000*k_f) or Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant). 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 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 Molar Enthalpy of Fusion given Freezing point of solvent?

The Molar Enthalpy of Fusion given Freezing point of solvent 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 is calculated using Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant). To calculate Molar Enthalpy of Fusion given Freezing point of solvent, you need Solvent Freezing Point (T_fp), Molar Mass of Solvent (M_solvent) & Cryoscopic Constant (k_f). With our tool, you need to enter the respective value for Solvent Freezing Point, Molar Mass of Solvent & 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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