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Solvent Freezing Point given Molal Freezing Point Lowering Constant Calculator

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✖Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.ⓘ Molal freezing point constant [K_f]			+10% -10%
✖Molal Heat 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.ⓘ Molal Heat of Fusion [ΔH_f]			+10% -10%
✖Molecular Weight is the mass of a given molecule.ⓘ Molecular Weight [MW]			+10% -10%

✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point given Molal Freezing Point Lowering Constant [T_fp]

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Solvent Freezing Point given Molal Freezing Point Lowering Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight))
T_fp = sqrt((K_f*ΔH_f*1000)/([R]*MW))
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.
Molal freezing point constant - (Measured in Kelvin Kilogram per Mole) - Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.
Molal Heat of Fusion - (Measured in Joule Per Mole) - Molal Heat 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.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.

STEP 1: Convert Input(s) to Base Unit

Molal freezing point constant: 100 Kelvin Kilogram per Mole --> 100 Kelvin Kilogram per Mole No Conversion Required
Molal Heat of Fusion: 200 Joule Per Mole --> 200 Joule Per Mole No Conversion Required
Molecular Weight: 1.2 Kilogram --> 1.2 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_fp = sqrt((K_f*ΔH_f*1000)/([R]*MW)) --> sqrt((100*200*1000)/([R]*1.2))

Evaluating ... ...

T_fp = 1415.81752027304

STEP 3: Convert Result to Output's Unit

1415.81752027304 Kelvin --> No Conversion Required

FINAL ANSWER

1415.81752027304 ≈ 1415.818 Kelvin <-- Solvent Freezing Point

(Calculation completed in 00.021 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

Solvent Freezing Point given Molal Freezing Point Lowering Constant Formula

LaTeX Go

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

Explain Freezing point depression.

The Freezing point depression is the temperature at which the liquid solvent and solid solvent are at equilibrium so that their vapor pressures are equal. When a non-volatile solute is added to a volatile liquid solvent, the solution vapor pressure will be lower than that of the pure solvent. As a result, the solid will reach equilibrium with the solution at a lower temperature than with the pure solvent.

How to Calculate Solvent Freezing Point given Molal Freezing Point Lowering Constant?

Solvent Freezing Point given Molal Freezing Point Lowering Constant calculator uses Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight)) to calculate the Solvent Freezing Point, The Solvent Freezing Point given Molal Freezing Point Lowering Constant in a solution changes as the concentration of the solute in the solution changes. Solvent Freezing Point is denoted by T_fp symbol.

How to calculate Solvent Freezing Point given Molal Freezing Point Lowering Constant using this online calculator? To use this online calculator for Solvent Freezing Point given Molal Freezing Point Lowering Constant, enter Molal freezing point constant (K_f), Molal Heat of Fusion (ΔH_f) & Molecular Weight (MW) and hit the calculate button. Here is how the Solvent Freezing Point given Molal Freezing Point Lowering Constant calculation can be explained with given input values -> 1415.818 = sqrt((100*200*1000)/([R]*1.2)).

FAQ

What is Solvent Freezing Point given Molal Freezing Point Lowering Constant?

The Solvent Freezing Point given Molal Freezing Point Lowering Constant in a solution changes as the concentration of the solute in the solution changes and is represented as T_fp = sqrt((K_f*ΔH_f*1000)/([R]*MW)) or Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight)). Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute, Molal Heat 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 & Molecular Weight is the mass of a given molecule.

How to calculate Solvent Freezing Point given Molal Freezing Point Lowering Constant?

The Solvent Freezing Point given Molal Freezing Point Lowering Constant in a solution changes as the concentration of the solute in the solution changes is calculated using Solvent Freezing Point = sqrt((Molal freezing point constant*Molal Heat of Fusion*1000)/([R]*Molecular Weight)). To calculate Solvent Freezing Point given Molal Freezing Point Lowering Constant, you need Molal freezing point constant (K_f), Molal Heat of Fusion (ΔH_f) & Molecular Weight (MW). With our tool, you need to enter the respective value for Molal freezing point constant, Molal Heat of Fusion & Molecular Weight 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 Molal freezing point constant, Molal Heat of Fusion & Molecular Weight. 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((Cryoscopic Constant*1000*Latent Heat of Fusion)/[R])

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