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Molar Enthalpy of Fusion given Freezing point of solvent Formula

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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. Check FAQs

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

ΔH_fusion - Molar Enthalpy of Fusion?T_fp - Solvent Freezing Point?M_solvent - Molar Mass of Solvent?k_f - Cryoscopic Constant?[R] - Universal gas constant?

Molar Enthalpy of Fusion given Freezing point of solvent Example

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Here is how the Molar Enthalpy of Fusion given Freezing point of solvent equation looks like with Values.

Here is how the Molar Enthalpy of Fusion given Freezing point of solvent equation looks like with Units.

Here is how the Molar Enthalpy of Fusion given Freezing point of solvent equation looks like.

92471.8279 = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400}{1000 \cdot 6.65}

92471.8279kJ/mol = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400kg}{1000 \cdot 6.65K*kg/mol}

92471.8279 = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400}{1000 \cdot 6.65}

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Depression in Freezing Point » fx Molar Enthalpy of Fusion given Freezing point of solvent

Molar Enthalpy of Fusion given Freezing point of solvent Solution

Follow our step by step solution on how to calculate Molar Enthalpy of Fusion given Freezing point of solvent?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔH fusion = \frac{[R] \cdot 430K \cdot 430K \cdot 400kg}{1000 \cdot 6.65K*kg/mol}

Next Step Substitute values of Constants

∴

ΔH fusion = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400kg}{1000 \cdot 6.65K*kg/mol}

Next Step Convert Units

∴

ΔH fusion = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400000g}{1000 \cdot 6.65K*kg/mol}

Next Step Prepare to Evaluate

∴

ΔH fusion = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400000}{1000 \cdot 6.65}

Next Step Evaluate

∴

ΔH fusion = 92471827.8554306J/mol

Next Step Convert to Output's Unit

∴

ΔH fusion = 92471.8278554306kJ/mol

LAST Step Rounding Answer

∴

ΔH fusion = 92471.8279kJ/mol

Molar Enthalpy of Fusion given Freezing point of solvent Formula Elements

Variables

Constants

Molar Enthalpy of Fusion

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.

Symbol: ΔH_fusion

Measurement: Molar EnthalpyUnit: kJ/mol

Note: Value should be greater than 0.

Formulas to find Molar Enthalpy of Fusion

Solvent Freezing Point

Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.

Symbol: T_fp

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Solvent Freezing Point

Molar Mass of Solvent

The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.

Symbol: M_solvent

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Molar Mass of Solvent

Cryoscopic Constant

The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.

Symbol: k_f

Measurement: Cryoscopic ConstantUnit: K*kg/mol

Note: Value should be greater than 0.

Formulas to find Cryoscopic Constant

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Depression in Freezing Point category

Go Depression in Freezing Point of Solvent

ΔT f = k f \cdot m

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

ΔT f = i \cdot k f \cdot m

Go Molality given Depression in Freezing Point

m = \frac{ΔT f}{k f \cdot i}

Go Cryoscopic Constant given Molar Enthalpy of Fusion

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

How to Evaluate Molar Enthalpy of Fusion given Freezing point of solvent?

Molar Enthalpy of Fusion given Freezing point of solvent evaluator uses Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant) to evaluate 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 evaluate Molar Enthalpy of Fusion given Freezing point of solvent using this online evaluator? To use this online evaluator 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.

FAQs on Molar Enthalpy of Fusion given Freezing point of solvent

What is the formula to find Molar Enthalpy of Fusion given Freezing point of solvent?

The formula of Molar Enthalpy of Fusion given Freezing point of solvent is expressed as Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant). Here is an example- 331.8606 = ([R]*430*430*400)/(1000*6.65).

How to calculate Molar Enthalpy of Fusion given Freezing point of solvent?

With Solvent Freezing Point (T_fp), Molar Mass of Solvent (M_solvent) & Cryoscopic Constant (k_f) we can find Molar Enthalpy of Fusion given Freezing point of solvent using the formula - Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant). This formula also uses Universal gas constant .

Can the Molar Enthalpy of Fusion given Freezing point of solvent be negative?

No, the Molar Enthalpy of Fusion given Freezing point of solvent, measured in Molar Enthalpy cannot be negative.

Which unit is used to measure Molar Enthalpy of Fusion given Freezing point of solvent?

Molar Enthalpy of Fusion given Freezing point of solvent is usually measured using the Kilojoule per Mole[kJ/mol] for Molar Enthalpy. Joule per Mole[kJ/mol] are the few other units in which Molar Enthalpy of Fusion given Freezing point of solvent can be measured.

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