Molal Freezing Point Lowering Constant 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

✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%
✖Molecular Weight is the mass of a given molecule.ⓘ Molecular Weight [MW]			+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%

✖Molal freezing point constant, also known as cryoscopic constant is dependent on the properties of the solvent, not the solute.ⓘ Molal Freezing Point Lowering Constant [K_f]

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Formula

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Molal Freezing Point Lowering Constant

Formula

`"K"_{"f"} = ("[R]"*("T"_{"fp"}^2)*"MW")/("ΔH"_{"f"}*1000)`

Example

`"9.224065K*kg/mol"=("[R]"*(("430K")^2)*"1.2kg")/("200J/mol"*1000)`

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Molal Freezing Point Lowering Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000)
K_f = ([R]*(T_fp^2)*MW)/(ΔH_f*1000)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
Molecular Weight - (Measured in Kilogram) - Molecular Weight is the mass of a given molecule.
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.

STEP 1: Convert Input(s) to Base Unit

Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Molecular Weight: 1.2 Kilogram --> 1.2 Kilogram No Conversion Required
Molal Heat of Fusion: 200 Joule Per Mole --> 200 Joule Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_f = ([R]*(T_fp^2)*MW)/(ΔH_f*1000) --> ([R]*(430^2)*1.2)/(200*1000)

Evaluating ... ...

K_f = 9.2240648285792

STEP 3: Convert Result to Output's Unit

9.2240648285792 Kelvin Kilogram per Mole --> No Conversion Required

FINAL ANSWER

9.2240648285792 ≈ 9.224065 Kelvin Kilogram per Mole <-- Molal freezing point constant

(Calculation completed in 00.004 seconds)

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Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Indian Institute of Technology (IIT), Kanpur

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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

Molal Freezing Point Lowering Constant Formula

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

What is heat of fusion?

Solids can be heated to the point where the molecules holding their bonds together break apart and form a liquid. The most common example is solid ice turning into liquid water. This process is better known as melting, or heat of fusion, and results in the molecules within the substance becoming less organized. When a substance converts from a solid-state to a liquid state, the change in enthalpy ( ΔH ) is positive. However, if the substance is transforming from a liquid state to a solid-state the change in enthalpy (ΔH) is negative.

How to Calculate Molal Freezing Point Lowering Constant?

Molal Freezing Point Lowering Constant calculator uses Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000) to calculate the Molal freezing point constant, The Molal Freezing Point Lowering Constant, also known as the cryoscopic constant is dependent on the properties of the solvent, not the solute. Molal freezing point constant is denoted by K_f symbol.

How to calculate Molal Freezing Point Lowering Constant using this online calculator? To use this online calculator for Molal Freezing Point Lowering Constant, enter Solvent Freezing Point (T_fp), Molecular Weight (MW) & Molal Heat of Fusion (ΔH_f) and hit the calculate button. Here is how the Molal Freezing Point Lowering Constant calculation can be explained with given input values -> 9.224065 = ([R]*(430^2)*1.2)/(200*1000).

FAQ

What is Molal Freezing Point Lowering Constant?

The Molal Freezing Point Lowering Constant, also known as the cryoscopic constant is dependent on the properties of the solvent, not the solute and is represented as K_f = ([R]*(T_fp^2)*MW)/(ΔH_f*1000) or Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000). Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state, Molecular Weight is the mass of a given molecule & 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.

How to calculate Molal Freezing Point Lowering Constant?

The Molal Freezing Point Lowering Constant, also known as the cryoscopic constant is dependent on the properties of the solvent, not the solute is calculated using Molal freezing point constant = ([R]*(Solvent Freezing Point^2)*Molecular Weight)/(Molal Heat of Fusion*1000). To calculate Molal Freezing Point Lowering Constant, you need Solvent Freezing Point (T_fp), Molecular Weight (MW) & Molal Heat of Fusion (ΔH_f). With our tool, you need to enter the respective value for Solvent Freezing Point, Molecular Weight & Molal 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 Molal freezing point constant?

In this formula, Molal freezing point constant uses Solvent Freezing Point, Molecular Weight & Molal Heat of Fusion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Molal freezing point constant = Depression in Freezing Point/Molality

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