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Cryoscopic Constant given Molar Enthalpy of Fusion Formula

GoCryoscopic Constant given Latent Heat of Fusion Formula

GoCryoscopic Constant given Depression in Freezing Point Formula

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

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

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

Cryoscopic Constant given Molar Enthalpy of Fusion Example

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Here is how the Cryoscopic Constant given Molar Enthalpy of Fusion equation looks like with Values.

Here is how the Cryoscopic Constant given Molar Enthalpy of Fusion equation looks like with Units.

Here is how the Cryoscopic Constant given Molar Enthalpy of Fusion equation looks like.

1843.891 = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400}{1000 \cdot 333.5}

1843.891K*kg/mol = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400kg}{1000 \cdot 333.5kJ/mol}

1843.891 = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400}{1000 \cdot 333.5}

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Depression in Freezing Point » fx Cryoscopic Constant given Molar Enthalpy of Fusion

Cryoscopic Constant given Molar Enthalpy of Fusion Solution

Follow our step by step solution on how to calculate Cryoscopic Constant given Molar Enthalpy of Fusion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

k f = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400kg}{1000 \cdot 333.5kJ/mol}

Next Step Convert Units

∴

k f = \frac{8.3145 \cdot 430K \cdot 430K \cdot 400000g}{1000 \cdot 333500J/mol}

Next Step Prepare to Evaluate

∴

k f = \frac{8.3145 \cdot 430 \cdot 430 \cdot 400000}{1000 \cdot 333500}

Next Step Evaluate

∴

k f = 1843.89102020574K*kg/mol

LAST Step Rounding Answer

∴

k f = 1843.891K*kg/mol

Cryoscopic Constant given Molar Enthalpy of Fusion Formula Elements

Variables

Constants

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

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

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

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 to find Cryoscopic Constant

Go Cryoscopic Constant given Latent Heat of Fusion

k f = \frac{[R] \cdot {T f}^{2}}{1000 \cdot L fusion}

Go Cryoscopic Constant given Depression in Freezing Point

k f = \frac{ΔT f}{i \cdot m}

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 Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion

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

How to Evaluate Cryoscopic Constant given Molar Enthalpy of Fusion?

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

FAQs on Cryoscopic Constant given Molar Enthalpy of Fusion

What is the formula to find Cryoscopic Constant given Molar Enthalpy of Fusion?

The formula of Cryoscopic Constant given Molar Enthalpy of Fusion is expressed as Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion). Here is an example- 1843.891 = ([R]*430*430*400)/(1000*333500).

How to calculate Cryoscopic Constant given Molar Enthalpy of Fusion?

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

What are the other ways to Calculate Cryoscopic Constant?

Here are the different ways to Calculate Cryoscopic Constant-

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)

Can the Cryoscopic Constant given Molar Enthalpy of Fusion be negative?

No, the Cryoscopic Constant given Molar Enthalpy of Fusion, measured in Cryoscopic Constant cannot be negative.

Which unit is used to measure Cryoscopic Constant given Molar Enthalpy of Fusion?

Cryoscopic Constant given Molar Enthalpy of Fusion is usually measured using the Kelvin Kilogram per Mole[K*kg/mol] for Cryoscopic Constant. Kelvin Gram per Mole[K*kg/mol] are the few other units in which Cryoscopic Constant given Molar Enthalpy of Fusion can be measured.

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