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Depression in Freezing Point given Elevation in Boiling Point 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{ΔH vap \cdot ΔT b \cdot ({T fp}^{2})}{ΔH fusion \cdot ({T bp}^{2})}

ΔT_f - Depression in Freezing Point?ΔH_vap - Molar Enthalpy of Vaporization?ΔT_b - Elevation in Boiling Point?T_fp - Solvent Freezing Point?ΔH_fusion - Molar Enthalpy of Fusion?T_bp - Solvent Boiling Point?

Depression in Freezing Point given Elevation in Boiling Point Example

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Here is how the Depression in Freezing Point given Elevation in Boiling Point equation looks like with Values.

Here is how the Depression in Freezing Point given Elevation in Boiling Point equation looks like with Units.

Here is how the Depression in Freezing Point given Elevation in Boiling Point equation looks like.

30086.6767 = \frac{40.7 \cdot 300 \cdot (430^{2})}{333.5 \cdot (15^{2})}

30086.6767K = \frac{40.7kJ/mol \cdot 300K \cdot ({430K}^{2})}{333.5kJ/mol \cdot ({15K}^{2})}

30086.6767 = \frac{40.7 \cdot 300 \cdot (430^{2})}{333.5 \cdot (15^{2})}

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Depression in Freezing Point » fx Depression in Freezing Point given Elevation in Boiling Point

Depression in Freezing Point given Elevation in Boiling Point Solution

Follow our step by step solution on how to calculate Depression in Freezing Point given Elevation in Boiling Point?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔT f = \frac{40.7kJ/mol \cdot 300K \cdot ({430K}^{2})}{333.5kJ/mol \cdot ({15K}^{2})}

Next Step Convert Units

∴

ΔT f = \frac{40700J/mol \cdot 300K \cdot ({430K}^{2})}{333500J/mol \cdot ({15K}^{2})}

Next Step Prepare to Evaluate

∴

ΔT f = \frac{40700 \cdot 300 \cdot (430^{2})}{333500 \cdot (15^{2})}

Next Step Evaluate

∴

ΔT f = 30086.6766616692K

LAST Step Rounding Answer

∴

ΔT f = 30086.6767K

Depression in Freezing Point given Elevation in Boiling Point Formula Elements

Variables

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

Molar Enthalpy of Vaporization

The Molar Enthalpy of Vaporization is the amount of energy needed to change one mole of a substance from the liquid phase to the gas phase at constant temperature and pressure.

Symbol: ΔH_vap

Measurement: Molar EnthalpyUnit: kJ/mol

Note: Value should be greater than 0.

Formulas to find Molar Enthalpy of Vaporization

Elevation in Boiling Point

The Elevation in Boiling Point describes the phenomenon that the boiling point of a liquid (a solvent) will be higher when another compound is added.

Symbol: ΔT_b

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Elevation in Boiling Point

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

Solvent Boiling Point

Solvent boiling point is the temperature at which the vapor pressure of the solvent equals the pressure surrounding and changes into a vapor.

Symbol: T_bp

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Solvent Boiling Point

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 Vapour Pressure

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

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 Elevation in Boiling Point?

Depression in Freezing Point given Elevation in Boiling Point evaluator uses Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)) to evaluate the Depression in Freezing Point, The Depression in Freezing Point given Elevation in Boiling Point 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 Elevation in Boiling Point using this online evaluator? To use this online evaluator for Depression in Freezing Point given Elevation in Boiling Point, enter Molar Enthalpy of Vaporization (ΔH_vap), Elevation in Boiling Point (ΔT_b), Solvent Freezing Point (T_fp), Molar Enthalpy of Fusion (ΔH_fusion) & Solvent Boiling Point (T_bp) and hit the calculate button.

FAQs on Depression in Freezing Point given Elevation in Boiling Point

What is the formula to find Depression in Freezing Point given Elevation in Boiling Point?

The formula of Depression in Freezing Point given Elevation in Boiling Point is expressed as Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)). Here is an example- 30086.68 = (40700*300*(430^2))/(333500*(15^2)).

How to calculate Depression in Freezing Point given Elevation in Boiling Point?

With Molar Enthalpy of Vaporization (ΔH_vap), Elevation in Boiling Point (ΔT_b), Solvent Freezing Point (T_fp), Molar Enthalpy of Fusion (ΔH_fusion) & Solvent Boiling Point (T_bp) we can find Depression in Freezing Point given Elevation in Boiling Point using the formula - Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2)).

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=((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)

Can the Depression in Freezing Point given Elevation in Boiling Point be negative?

Yes, the Depression in Freezing Point given Elevation in Boiling Point, measured in Temperature can be negative.

Which unit is used to measure Depression in Freezing Point given Elevation in Boiling Point?

Depression in Freezing Point given Elevation in Boiling Point 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 Elevation in Boiling Point can be measured.

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Depression in Freezing Point given Elevation in Boiling Point 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 Elevation in Boiling Point Example

Depression in Freezing Point given Elevation in Boiling Point Solution

Depression in Freezing Point given Elevation in Boiling Point 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 Elevation in Boiling Point?

FAQs on Depression in Freezing Point given Elevation in Boiling Point

Variable Name

GoDepression in Freezing Point of Solvent Formula

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