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Depression in Freezing Point given Vapour Pressure Formula

GoDepression in Freezing Point of Solvent Formula

GoVan't Hoff equation for Depression in Freezing Point of electrolyte Formula

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The Depression in Freezing Point is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent. Check FAQs

ΔT f = \frac{(Po A - P A) \cdot [R] \cdot ({T fp}^{2})}{Po A \cdot ΔH fusion}

ΔT_f - Depression in Freezing Point?Po_A - Vapour Pressure of Pure Solvent?P_A - Vapour Pressure of Solvent in Solution?T_fp - Solvent Freezing Point?ΔH_fusion - Molar Enthalpy of Fusion?[R] - Universal gas constant?

Depression in Freezing Point given Vapour Pressure Example

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Here is how the Depression in Freezing Point given Vapour Pressure equation looks like with Values.

Here is how the Depression in Freezing Point given Vapour Pressure equation looks like with Units.

Here is how the Depression in Freezing Point given Vapour Pressure equation looks like.

1.1524 = \frac{(20000 - 15000) \cdot 8.3145 \cdot (430^{2})}{20000 \cdot 333.5}

1.1524K = \frac{(20000Pa - 15000Pa) \cdot 8.3145 \cdot ({430K}^{2})}{20000Pa \cdot 333.5kJ/mol}

1.1524 = \frac{(20000 - 15000) \cdot 8.3145 \cdot (430^{2})}{20000 \cdot 333.5}

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Depression in Freezing Point » fx Depression in Freezing Point given Vapour Pressure

Depression in Freezing Point given Vapour Pressure Solution

Follow our step by step solution on how to calculate Depression in Freezing Point given Vapour Pressure?

FIRST Step Consider the formula

ΔT f = \frac{(Po A - P A) \cdot [R] \cdot ({T fp}^{2})}{Po A \cdot ΔH fusion}

Next Step Substitute values of Variables

∴

ΔT f = \frac{(20000Pa - 15000Pa) \cdot [R] \cdot ({430K}^{2})}{20000Pa \cdot 333.5kJ/mol}

Next Step Substitute values of Constants

∴

ΔT f = \frac{(20000Pa - 15000Pa) \cdot 8.3145 \cdot ({430K}^{2})}{20000Pa \cdot 333.5kJ/mol}

Next Step Convert Units

∴

ΔT f = \frac{(20000Pa - 15000Pa) \cdot 8.3145 \cdot ({430K}^{2})}{20000Pa \cdot 333500J/mol}

Next Step Prepare to Evaluate

∴

ΔT f = \frac{(20000 - 15000) \cdot 8.3145 \cdot (430^{2})}{20000 \cdot 333500}

Next Step Evaluate

∴

ΔT f = 1.15243188762859K

LAST Step Rounding Answer

∴

ΔT f = 1.1524K

Depression in Freezing Point given Vapour Pressure Formula Elements

Variables

Constants

Depression in Freezing Point

The Depression in Freezing Point is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent.

Symbol: ΔT_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Depression in Freezing Point

Vapour Pressure of Pure Solvent

The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute.

Symbol: Po_A

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Vapour Pressure of Pure Solvent

Vapour Pressure of Solvent in Solution

The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute.

Symbol: P_A

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Vapour Pressure of Solvent in Solution

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 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 Depression in Freezing Point

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 Depression in Freezing Point given Elevation in Boiling Point

ΔT f = \frac{ΔH vap \cdot ΔT b \cdot ({T fp}^{2})}{ΔH fusion \cdot ({T bp}^{2})}

Go Depression in Freezing Point given Osmotic Pressure

ΔT f = \frac{π \cdot V m \cdot ({T fp}^{2})}{T \cdot ΔH fusion}

Other formulas in Depression in Freezing Point category

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}

Go Cryoscopic Constant given Latent Heat of Fusion

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

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 Depression in Freezing Point given Vapour Pressure?

Depression in Freezing Point given Vapour Pressure evaluator uses 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) to evaluate the Depression in Freezing Point, The Depression in Freezing Point given Vapour Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m. Depression in Freezing Point is denoted by ΔT_f symbol.

How to evaluate Depression in Freezing Point given Vapour Pressure using this online evaluator? To use this online evaluator for Depression in Freezing Point given Vapour Pressure, enter Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Freezing Point (T_fp) & Molar Enthalpy of Fusion (ΔH_fusion) and hit the calculate button.

FAQs on Depression in Freezing Point given Vapour Pressure

What is the formula to find Depression in Freezing Point given Vapour Pressure?

The formula of Depression in Freezing Point given Vapour Pressure is expressed as 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). Here is an example- 1.152432 = ((20000-15000)*[R]*(430^2))/(20000*333500).

How to calculate Depression in Freezing Point given Vapour Pressure?

With Vapour Pressure of Pure Solvent (Po_A), Vapour Pressure of Solvent in Solution (P_A), Solvent Freezing Point (T_fp) & Molar Enthalpy of Fusion (ΔH_fusion) we can find Depression in Freezing Point given Vapour Pressure using the formula - 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). This formula also uses Universal gas constant .

What are the other ways to Calculate Depression in Freezing Point?

Here are the different ways to Calculate Depression in Freezing Point-

Depression in Freezing Point=Cryoscopic Constant*Molality
Depression in Freezing Point=Van't Hoff Factor*Cryoscopic Constant*Molality
Depression in Freezing Point=(Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))

Can the Depression in Freezing Point given Vapour Pressure be negative?

Yes, the Depression in Freezing Point given Vapour Pressure, measured in Temperature can be negative.

Which unit is used to measure Depression in Freezing Point given Vapour Pressure?

Depression in Freezing Point given Vapour Pressure is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Depression in Freezing Point given Vapour Pressure can be measured.

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Depression in Freezing Point given Vapour Pressure Formula

​GoDepression in Freezing Point of Solvent Formula

​GoVan't Hoff equation for Depression in Freezing Point of electrolyte Formula

Depression in Freezing Point given Vapour Pressure Example

Depression in Freezing Point given Vapour Pressure Solution

Depression in Freezing Point given Vapour Pressure Formula Elements

Other Formulas to find Depression in Freezing Point

Other formulas in Depression in Freezing Point category

How to Evaluate Depression in Freezing Point given Vapour Pressure?

FAQs on Depression in Freezing Point given Vapour Pressure

Variable Name

GoDepression in Freezing Point of Solvent Formula

GoVan't Hoff equation for Depression in Freezing Point of electrolyte Formula