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Freezing Point of Solvent given Cryoscopic Constant and Latent Heat 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 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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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 00.004 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 Latent Heat of Fusion Formula

LaTeX Go

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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