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

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Depression in Freezing Point

Clausius-Clapeyron Equation

Elevation in Boiling Point

Gibb's Phase Rule

Immiscible Liquids

Important Formulas of Clausius-Clapeyron Equation

Important Formulas of Colligative Properties

Osmotic Pressure

Relative Lowering of Vapour Pressure

Van't Hoff Factor

✖The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.ⓘ Cryoscopic Constant [k_f]			+10% -10%
✖The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.ⓘ Latent Heat of Fusion [L_fusion]			+10% -10%

✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion [T_fp]

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Formula

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

Formula

`"T"_{"fp"} = sqrt(("k"_{"f"}*1000*"L"_{"fusion"})/"[R]")`

Example

`"516.8529K"=sqrt(("6.65K*kg/mol"*1000*"334J/kg")/"[R]")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
T_fp = sqrt((k_f*1000*L_fusion)/[R])
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

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., sqrt(Number)

Variables Used

Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
Cryoscopic Constant - (Measured in Kelvin Kilogram per Mole) - The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
Latent Heat of Fusion - (Measured in Joule per Kilogram) - The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.

STEP 1: Convert Input(s) to Base Unit

Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
Latent Heat of Fusion: 334 Joule per Kilogram --> 334 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_fp = sqrt((k_f*1000*L_fusion)/[R]) --> sqrt((6.65*1000*334)/[R])

Evaluating ... ...

T_fp = 516.852907300906

STEP 3: Convert Result to Output's Unit

516.852907300906 Kelvin --> No Conversion Required

FINAL ANSWER

516.852907300906 ≈ 516.8529 Kelvin <-- Solvent Freezing Point

(Calculation completed in 00.020 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 23 Depression in Freezing Point Calculators

Depression in Freezing Point given Vapour Pressure

Go 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)

Depression in Freezing Point given Elevation in Boiling Point

Go Depression in Freezing Point = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))

Relative Lowering of Vapour Pressure given Depression in Freezing Point

Go Relative Lowering of Vapour Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point)/([R]*Solvent Freezing Point*Solvent Freezing Point)

Molar Enthalpy of Fusion given Freezing point of solvent

Go Molar Enthalpy of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Cryoscopic Constant)

Cryoscopic Constant given Molar Enthalpy of Fusion

Go Cryoscopic Constant = ([R]*Solvent Freezing Point*Solvent Freezing Point*Molar Mass of Solvent)/(1000*Molar Enthalpy of Fusion)

Molar Mass of Solvent given Cryoscopic Constant

Go Molar Mass of Solvent = (Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Solvent Freezing Point*Solvent Freezing Point)

Depression in Freezing Point given Osmotic Pressure

Go Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)

Solvent Freezing Point given Molal Freezing Point Lowering Constant

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

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

Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))

Depression in Freezing Point given Relative Lowering of Vapour Pressure

Go Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion

Solvent Molecular Weight given Molal Freezing Point Lowering Constant

Go Solvent Molecular Weight = (Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*(Solvent Freezing Point^2))

Molal Freezing Point Lowering Constant

Go Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000)

Latent Heat of Fusion given Freezing Point of Solvent

Go Latent Heat of Fusion = ([R]*Solvent Freezing Point*Solvent Freezing Point)/(1000*Cryoscopic Constant)

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

Go Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])

Cryoscopic Constant given Latent Heat of Fusion

Go Cryoscopic Constant = ([R]*Solvent Freezing Point for Cryoscopic Constant^2)/(1000*Latent Heat of Fusion)

Van't Hoff Factor of Electrolyte given Depression in Freezing Point

Go Van't Hoff Factor = Depression in Freezing Point/(Cryoscopic Constant*Molality)

Cryoscopic Constant given Depression in Freezing Point

Go Cryoscopic Constant = Depression in Freezing Point/(Van't Hoff Factor*Molality)

Molality given Depression in Freezing Point

Go Molality = Depression in Freezing Point/(Cryoscopic Constant*Van't Hoff Factor)

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

Go Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality

Molal Freezing Point Constant given Freezing Point Depression

Go Molal freezing point constant = Depression in Freezing Point/Molality

Molality given Freezing Point Depression

Go Molality = Depression in Freezing Point/Molal freezing point constant

Depression in Freezing Point of Solvent

Go Depression in Freezing Point = Cryoscopic Constant*Molality

Freezing Point Depression

Go Depression in Freezing Point = Cryoscopic Constant*Molality

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

Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])
T_fp = sqrt((k_f*1000*L_fusion)/[R])

What is the Cryoscopic Constant?

It is also called molal depression constant. A cryoscopic constant 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. Its unit is k.kg.mol−1. It depends on the molar mass of the solute in the solution.

How to Calculate Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion?

Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion calculator uses Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R]) to calculate the Solvent Freezing Point, The Freezing Point of Solvent given Cryoscopic Constant and Latent Heat 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 calculate Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion using this online calculator? To use this online calculator for Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion, enter Cryoscopic Constant (k_f) & Latent Heat of Fusion (L_fusion) and hit the calculate button. Here is how the Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion calculation can be explained with given input values -> 272.8311 = sqrt((6.65*1000*334)/[R]).

FAQ

What is Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion?

The Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion is the temperature at which the liquid solvent turns into solid when cooled and is represented as T_fp = sqrt((k_f*1000*L_fusion)/[R]) or Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R]). The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent & The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.

How to calculate Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion?

The Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion is the temperature at which the liquid solvent turns into solid when cooled is calculated using Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R]). To calculate Freezing Point of Solvent given Cryoscopic Constant and Latent Heat of Fusion, you need Cryoscopic Constant (k_f) & Latent Heat of Fusion (L_fusion). With our tool, you need to enter the respective value for Cryoscopic Constant & Latent Heat of Fusion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Solvent Freezing Point?

In this formula, Solvent Freezing Point uses Cryoscopic Constant & Latent Heat of Fusion. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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