Depression in Freezing Point given Osmotic Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
ΔTf = (π*Vm*(Tfp^2))/(T*ΔHfusion)
This formula uses 6 Variables
Variables Used
Depression in Freezing Point - (Measured in Kelvin) - The Depression in Freezing Point is the phenomena that describes why adding a solute to a solvent results in the lowering of the freezing point of the solvent.
Osmotic Pressure - (Measured in Pascal) - The Osmotic Pressure is the minimum pressure which needs to be applied to a solution to prevent the inward flow of its pure solvent across a semipermeable membrane.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure.
Solvent Freezing Point - (Measured in Kelvin) - Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
STEP 1: Convert Input(s) to Base Unit
Osmotic Pressure: 2.5 Pascal --> 2.5 Pascal No Conversion Required
Molar Volume: 32 Cubic Meter per Mole --> 32 Cubic Meter per Mole No Conversion Required
Solvent Freezing Point: 430 Kelvin --> 430 Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Enthalpy of Fusion: 333.5 Kilojoule per Mole --> 333500 Joule per Mole (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔTf = (π*Vm*(Tfp^2))/(T*ΔHfusion) --> (2.5*32*(430^2))/(85*333500)
Evaluating ... ...
ΔTf = 0.521809683393597
STEP 3: Convert Result to Output's Unit
0.521809683393597 Kelvin --> No Conversion Required
FINAL ANSWER
0.521809683393597 0.52181 Kelvin <-- Depression in Freezing Point
(Calculation completed in 00.004 seconds)

Credits

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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

Depression in Freezing Point given Osmotic Pressure Formula

Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
ΔTf = (π*Vm*(Tfp^2))/(T*ΔHfusion)

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 Depression in Freezing Point given Osmotic Pressure?

Depression in Freezing Point given Osmotic Pressure calculator uses Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion) to calculate the Depression in Freezing Point, The Depression in Freezing Point given Osmotic Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m. Depression in Freezing Point is denoted by ΔTf symbol.

How to calculate Depression in Freezing Point given Osmotic Pressure using this online calculator? To use this online calculator for Depression in Freezing Point given Osmotic Pressure, enter Osmotic Pressure (π), Molar Volume (Vm), Solvent Freezing Point (Tfp), Temperature (T) & Molar Enthalpy of Fusion (ΔHfusion) and hit the calculate button. Here is how the Depression in Freezing Point given Osmotic Pressure calculation can be explained with given input values -> 0.52181 = (2.5*32*(430^2))/(85*333500).

FAQ

What is Depression in Freezing Point given Osmotic Pressure?
The Depression in Freezing Point given Osmotic Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m and is represented as ΔTf = (π*Vm*(Tfp^2))/(T*ΔHfusion) or Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion). The Osmotic Pressure is the minimum pressure which needs to be applied to a solution to prevent the inward flow of its pure solvent across a semipermeable membrane, Molar Volume is the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure, Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state, Temperature is the degree or intensity of heat present in a substance or object & 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.
How to calculate Depression in Freezing Point given Osmotic Pressure?
The Depression in Freezing Point given Osmotic Pressure refers to the lowering of the freezing point of solvents upon the addition of solutes. It is a colligative property described by the following formula. ΔTf = Kf× m is calculated using Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion). To calculate Depression in Freezing Point given Osmotic Pressure, you need Osmotic Pressure (π), Molar Volume (Vm), Solvent Freezing Point (Tfp), Temperature (T) & Molar Enthalpy of Fusion (ΔHfusion). With our tool, you need to enter the respective value for Osmotic Pressure, Molar Volume, Solvent Freezing Point, Temperature & Molar Enthalpy 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 Depression in Freezing Point?
In this formula, Depression in Freezing Point uses Osmotic Pressure, Molar Volume, Solvent Freezing Point, Temperature & Molar Enthalpy of Fusion. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Depression in Freezing Point = Cryoscopic Constant*Molality
  • Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
  • 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 = (Molar Enthalpy of Vaporization*Elevation in Boiling Point*(Solvent Freezing Point^2))/(Molar Enthalpy of Fusion*(Solvent Boiling Point^2))
  • Depression in Freezing Point = (Relative Lowering of Vapour Pressure*[R]*(Solvent Freezing Point^2))/Molar Enthalpy of Fusion
  • Depression in Freezing Point = Cryoscopic Constant*Molality
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