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Osmotic Pressure given Depression in Freezing Point Calculator

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✖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 [ΔT_f]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+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%

✖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 given Depression in Freezing Point [π]

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Formula

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Osmotic Pressure given Depression in Freezing Point

Formula

π = \frac{ΔH fusion \cdot ΔT f \cdot T}{V m \cdot ({T fp}^{2})}

Example

2.499504 Pa = \frac{3.246 kJ/mol \cdot 12 K \cdot 298 K}{51.6 m³/mol \cdot ({300 K}^{2})}

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Osmotic Pressure given Depression in Freezing Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2))
π = (ΔH_fusion*ΔT_f*T)/(V_m*(T_fp^2))
This formula uses 6 Variables

Variables Used

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 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.
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.

STEP 1: Convert Input(s) to Base Unit

Molar Enthalpy of Fusion: 3.246 Kilojoule per Mole --> 3246 Joule per Mole (Check conversion here)
Depression in Freezing Point: 12 Kelvin --> 12 Kelvin No Conversion Required
Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
Molar Volume: 51.6 Cubic Meter per Mole --> 51.6 Cubic Meter per Mole No Conversion Required
Solvent Freezing Point: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

π = (ΔH_fusion*ΔT_f*T)/(V_m*(T_fp^2)) --> (3246*12*298)/(51.6*(300^2))

Evaluating ... ...

π = 2.49950387596899

STEP 3: Convert Result to Output's Unit

2.49950387596899 Pascal --> No Conversion Required

FINAL ANSWER

2.49950387596899 ≈ 2.499504 Pascal <-- Osmotic Pressure

(Calculation completed in 00.004 seconds)

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< Osmotic Pressure Calculators

Osmotic Pressure given Volume and Osmotic Pressure of Two Substances

Go Osmotic Pressure = ((Osmotic Pressure of Particle 1*Volume of Particle 1)+(Osmotic Pressure of Particle 2*Volume of Particle 2))/([R]*Temperature)

Moles of Solute given Osmotic Pressure

Go Number of Moles of Solute = (Osmotic Pressure*Volume of Solution)/([R]*Temperature)

Density of Solution given Osmotic Pressure

Go Density of Solution = Osmotic Pressure/([g]*Equilibrium Height)

Equilibrium Height given Osmotic Pressure

Go Equilibrium Height = Osmotic Pressure/([g]*Density of Solution)

< Important Formulas of Colligative Properties Calculators

Osmotic Pressure given Depression in Freezing Point

Go Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2))

Osmotic Pressure given Concentration of Two Substances

Go Osmotic Pressure = (Concentration of Particle 1+Concentration of Particle 2)*[R]*Temperature

Osmotic Pressure for Non Electrolyte

Go Osmotic Pressure = Molar Concentration of Solute*[R]*Temperature

Osmotic Pressure given Density of Solution

Go Osmotic Pressure = Density of Solution*[g]*Equilibrium Height

Osmotic Pressure given Depression in Freezing Point Formula

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

Why osmotic pressure is important?

Osmotic pressure is of vital importance in biology as the cell's membrane is selective toward many of the solutes found in living organisms. When a cell is placed in a hypertonic solution, water actually flows out of the cell into the surrounding solution thereby causing the cells to shrink and lose its turgidity.

How to Calculate Osmotic Pressure given Depression in Freezing Point?

Osmotic Pressure given Depression in Freezing Point calculator uses Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2)) to calculate the Osmotic Pressure, The Osmotic Pressure given Depression in Freezing Point 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. It is also defined as the measure of the tendency of a solution to take in pure solvent by osmosis. Osmotic Pressure is denoted by π symbol.

How to calculate Osmotic Pressure given Depression in Freezing Point using this online calculator? To use this online calculator for Osmotic Pressure given Depression in Freezing Point, enter Molar Enthalpy of Fusion (ΔH_fusion), Depression in Freezing Point (ΔT_f), Temperature (T), Molar Volume (V_m) & Solvent Freezing Point (T_fp) and hit the calculate button. Here is how the Osmotic Pressure given Depression in Freezing Point calculation can be explained with given input values -> 2.08292 = (3246*12*298)/(51.6*(300^2)).

FAQ

What is Osmotic Pressure given Depression in Freezing Point?

The Osmotic Pressure given Depression in Freezing Point 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. It is also defined as the measure of the tendency of a solution to take in pure solvent by osmosis and is represented as π = (ΔH_fusion*ΔT_f*T)/(V_m*(T_fp^2)) or Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2)). 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, 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, Temperature is the degree or intensity of heat present in a substance or object, 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.

How to calculate Osmotic Pressure given Depression in Freezing Point?

The Osmotic Pressure given Depression in Freezing Point 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. It is also defined as the measure of the tendency of a solution to take in pure solvent by osmosis is calculated using Osmotic Pressure = (Molar Enthalpy of Fusion*Depression in Freezing Point*Temperature)/(Molar Volume*(Solvent Freezing Point^2)). To calculate Osmotic Pressure given Depression in Freezing Point, you need Molar Enthalpy of Fusion (ΔH_fusion), Depression in Freezing Point (ΔT_f), Temperature (T), Molar Volume (V_m) & Solvent Freezing Point (T_fp). With our tool, you need to enter the respective value for Molar Enthalpy of Fusion, Depression in Freezing Point, Temperature, Molar Volume & Solvent Freezing Point 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 Osmotic Pressure?

In this formula, Osmotic Pressure uses Molar Enthalpy of Fusion, Depression in Freezing Point, Temperature, Molar Volume & Solvent Freezing Point. We can use 3 other way(s) to calculate the same, which is/are as follows -

Osmotic Pressure = ((Osmotic Pressure of Particle 1*Volume of Particle 1)+(Osmotic Pressure of Particle 2*Volume of Particle 2))/([R]*Temperature)
Osmotic Pressure = (Number of Moles of Solute*[R]*Temperature)/Volume of Solution
Osmotic Pressure = (((Concentration of Particle 1*Volume of Particle 1)+(Concentration of Particle 2*Volume of Particle 2))*([R]*Temperature))/(Volume of Particle 1+Volume of Particle 2)

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