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

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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.ⓘ Cryoscopic Constant [k_f]			+10% -10%
✖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.ⓘ Molar Enthalpy of Fusion [ΔH_fusion]			+10% -10%
✖The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.ⓘ Molar Mass of Solvent [M_solvent]			+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 Molar Enthalpy of Fusion [T_fp]

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

STEP 0: Pre-Calculation Summary

Formula Used

Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent))
T_fp = sqrt((k_f*1000*ΔH_fusion)/([R]*M_solvent))
This formula uses 1 Constants, 1 Functions, 4 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.
Molar Enthalpy of Fusion - (Measured in Joule per Mole) - 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.
Molar Mass of Solvent - (Measured in Gram) - The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.

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
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)
Molar Mass of Solvent: 400 Kilogram --> 400000 Gram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_fp = sqrt((k_f*1000*ΔH_fusion)/([R]*M_solvent)) --> sqrt((6.65*1000*333500)/([R]*400000))

Evaluating ... ...

T_fp = 25.8232948229347

STEP 3: Convert Result to Output's Unit

25.8232948229347 Kelvin --> No Conversion Required

FINAL ANSWER

25.8232948229347 ≈ 25.82329 Kelvin <-- Solvent Freezing Point

(Calculation completed in 00.004 seconds)

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< Depression in Freezing Point Calculators

Cryoscopic Constant given Molar Enthalpy of Fusion

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

Molality given Depression in Freezing Point

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

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

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

Depression in Freezing Point of Solvent

LaTeX Go Depression in Freezing Point = Cryoscopic Constant*Molality

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

LaTeX Go

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

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 Molar Enthalpy of Fusion?

Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion calculator uses Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)) to calculate 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 calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion using this online calculator? To use this online calculator 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. Here is how the Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion calculation can be explained with given input values -> 13.63134 = sqrt((6.65*1000*333500)/([R]*400)).

FAQ

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

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 and is represented as T_fp = sqrt((k_f*1000*ΔH_fusion)/([R]*M_solvent)) or Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)). 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 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 & The Molar Mass of Solvent is the molar mass of the medium in which the solute is dissolved.

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

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 is calculated using Solvent Freezing Point = sqrt((Cryoscopic Constant*1000*Molar Enthalpy of Fusion)/([R]*Molar Mass of Solvent)). To calculate Freezing Point of Solvent given Cryoscopic Constant and Molar Enthalpy of Fusion, you need Cryoscopic Constant (k_f), Molar Enthalpy of Fusion (ΔH_fusion) & Molar Mass of Solvent (M_solvent). With our tool, you need to enter the respective value for Cryoscopic Constant, Molar Enthalpy of Fusion & Molar Mass of Solvent 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, Molar Enthalpy of Fusion & Molar Mass of Solvent. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))

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