Osmotic Pressure given Vapour Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent)
π = ((po-p)*[R]*T)/(Vm*po)
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
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.
Vapour Pressure of Pure Solvent - (Measured in Pascal) - The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute.
Vapour Pressure of Solvent in Solution - (Measured in Pascal) - The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute.
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.
STEP 1: Convert Input(s) to Base Unit
Vapour Pressure of Pure Solvent: 2000 Pascal --> 2000 Pascal No Conversion Required
Vapour Pressure of Solvent in Solution: 1895.86 Pascal --> 1895.86 Pascal 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
π = ((po-p)*[R]*T)/(Vm*po) --> ((2000-1895.86)*[R]*298)/(51.6*2000)
Evaluating ... ...
π = 2.50027814769607
STEP 3: Convert Result to Output's Unit
2.50027814769607 Pascal --> No Conversion Required
FINAL ANSWER
2.50027814769607 2.500278 Pascal <-- Osmotic Pressure
(Calculation completed in 00.004 seconds)

Credits

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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Osmotic Pressure Calculators

Osmotic Pressure given Volume and Osmotic Pressure of Two Substances
​ LaTeX ​ 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
​ LaTeX ​ Go Number of Moles of Solute = (Osmotic Pressure*Volume of Solution)/([R]*Temperature)
Density of Solution given Osmotic Pressure
​ LaTeX ​ Go Density of Solution = Osmotic Pressure/([g]*Equilibrium Height)
Equilibrium Height given Osmotic Pressure
​ LaTeX ​ Go Equilibrium Height = Osmotic Pressure/([g]*Density of Solution)

Important Formulas of Colligative Properties Calculators

Osmotic Pressure given Depression in Freezing Point
​ LaTeX ​ 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
​ LaTeX ​ Go Osmotic Pressure = (Concentration of Particle 1+Concentration of Particle 2)*[R]*Temperature
Osmotic Pressure for Non Electrolyte
​ LaTeX ​ Go Osmotic Pressure = Molar Concentration of Solute*[R]*Temperature
Osmotic Pressure given Density of Solution
​ LaTeX ​ Go Osmotic Pressure = Density of Solution*[g]*Equilibrium Height

Osmotic Pressure given Vapour Pressure Formula

​LaTeX ​Go
Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent)
π = ((po-p)*[R]*T)/(Vm*po)

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 Vapour Pressure?

Osmotic Pressure given Vapour Pressure calculator uses Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent) to calculate the Osmotic Pressure, The Osmotic Pressure given Vapour 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. 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 Vapour Pressure using this online calculator? To use this online calculator for Osmotic Pressure given Vapour Pressure, enter Vapour Pressure of Pure Solvent (po), Vapour Pressure of Solvent in Solution (p), Temperature (T) & Molar Volume (Vm) and hit the calculate button. Here is how the Osmotic Pressure given Vapour Pressure calculation can be explained with given input values -> 1.549769 = ((2000-1895.86)*[R]*298)/(51.6*2000).

FAQ

What is Osmotic Pressure given Vapour Pressure?
The Osmotic Pressure given Vapour 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. 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 = ((po-p)*[R]*T)/(Vm*po) or Osmotic Pressure = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent). The Vapour Pressure of Pure Solvent is the vapour pressure of solvent prior to addition of solute, The Vapour Pressure of Solvent in Solution is the vapour pressure of solvent post addition of solute, 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.
How to calculate Osmotic Pressure given Vapour Pressure?
The Osmotic Pressure given Vapour 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. 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 = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*[R]*Temperature)/(Molar Volume*Vapour Pressure of Pure Solvent). To calculate Osmotic Pressure given Vapour Pressure, you need Vapour Pressure of Pure Solvent (po), Vapour Pressure of Solvent in Solution (p), Temperature (T) & Molar Volume (Vm). With our tool, you need to enter the respective value for Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Temperature & Molar Volume 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 Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Temperature & Molar Volume. 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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