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Depression in Freezing Point given Osmotic Pressure Calculator

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✖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.ⓘ Osmotic Pressure [π]			+10% -10%
✖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.ⓘ Molar Volume [V_m]			+10% -10%
✖Solvent Freezing Point is the temperature at which the solvent freezes from liquid to solid state.ⓘ Solvent Freezing Point [T_fp]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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 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.ⓘ Depression in Freezing Point given Osmotic Pressure [ΔT_f]

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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)
ΔT_f = (π*V_m*(T_fp^2))/(T*ΔH_fusion)
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

ΔT_f = (π*V_m*(T_fp^2))/(T*ΔH_fusion) --> (2.5*32*(430^2))/(85*333500)

Evaluating ... ...

ΔT_f = 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 00.020 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

Depression in Freezing Point given Osmotic Pressure Formula

LaTeX Go

Depression in Freezing Point = (Osmotic Pressure*Molar Volume*(Solvent Freezing Point^2))/(Temperature*Molar Enthalpy of Fusion)
ΔT_f = (π*V_m*(T_fp^2))/(T*ΔH_fusion)

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 ΔT_f 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 (V_m), Solvent Freezing Point (T_fp), Temperature (T) & Molar Enthalpy of Fusion (ΔH_fusion) 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 ΔT_f = (π*V_m*(T_fp^2))/(T*ΔH_fusion) 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 (V_m), Solvent Freezing Point (T_fp), Temperature (T) & Molar Enthalpy of Fusion (ΔH_fusion). 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 3 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)

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