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

GoFreezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion Formula

GoSolvent Freezing Point given Molal Freezing Point Lowering Constant Formula

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

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

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

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

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

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

Here is how the Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion equation looks like.

25.8233 = \sqrt{\frac{6.65 \cdot 1000 \cdot 333.5}{8.3145 \cdot 400}}

25.8233K = \sqrt{\frac{6.65K*kg/mol \cdot 1000 \cdot 333.5kJ/mol}{8.3145 \cdot 400kg}}

25.8233 = \sqrt{\frac{6.65 \cdot 1000 \cdot 333.5}{8.3145 \cdot 400}}

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T fp = \sqrt{\frac{6.65K*kg/mol \cdot 1000 \cdot 333.5kJ/mol}{[R] \cdot 400kg}}

Next Step Substitute values of Constants

∴

T fp = \sqrt{\frac{6.65K*kg/mol \cdot 1000 \cdot 333.5kJ/mol}{8.3145 \cdot 400kg}}

Next Step Convert Units

∴

T fp = \sqrt{\frac{6.65K*kg/mol \cdot 1000 \cdot 333500J/mol}{8.3145 \cdot 400000g}}

Next Step Prepare to Evaluate

∴

T fp = \sqrt{\frac{6.65 \cdot 1000 \cdot 333500}{8.3145 \cdot 400000}}

Next Step Evaluate

∴

T fp = 25.8232948229347K

LAST Step Rounding Answer

∴

T fp = 25.8233K

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

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Solvent Freezing Point

Go Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion

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

Go Solvent Freezing Point given Molal Freezing Point Lowering Constant

T fp = \sqrt{\frac{K f \cdot ΔH f \cdot 1000}{[R] \cdot MW}}

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

Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion evaluator uses Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)) to evaluate the Solvent Freezing Point, The Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is the temperature at which the liquid solvent turns into solid when cooled. Solvent Freezing Point is denoted by T_fp symbol.

How to evaluate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion using this online evaluator? To use this online evaluator for Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion, enter Cryoscopic Constant (k_f), Molar Enthalpy of Fusion (ΔH_fusion) & Molar Mass of Solvent (M_solvent) and hit the calculate button.

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

What is the formula to find Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?

The formula of Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is expressed as Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)). Here is an example- 13.63134 = sqrt((6.65*1000*333500)/([R]*400)).

How to calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?

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

What are the other ways to Calculate Solvent Freezing Point?

Here are the different ways to Calculate Solvent Freezing Point-

Solvent Freezing Point=sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
Solvent Freezing Point=sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))

Can the Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion be negative?

Yes, the Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion, measured in Temperature can be negative.

Which unit is used to measure Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion?

Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion can be measured.

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