Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles Solution

STEP 0: Pre-Calculation Summary
Formula Used
Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*Number of Moles of Solvent)/(Number of Moles of Solute*Vapour Pressure of Pure Solvent)
i = ((po-p)*N)/(n*po)
This formula uses 5 Variables
Variables Used
Van't Hoff Factor - A Van't Hoff Factor is the ratio of observed colligative property to theoretical colligative property.
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.
Number of Moles of Solvent - (Measured in Mole) - Number of Moles of Solvent is the total number of representative particles present in the solvent.
Number of Moles of Solute - (Measured in Mole) - The number of Moles of Solute is the total number of representative particles present in the solute.
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
Number of Moles of Solvent: 10 Mole --> 10 Mole No Conversion Required
Number of Moles of Solute: 0.52 Mole --> 0.52 Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
i = ((po-p)*N)/(n*po) --> ((2000-1895.86)*10)/(0.52*2000)
Evaluating ... ...
i = 1.00134615384615
STEP 3: Convert Result to Output's Unit
1.00134615384615 --> No Conversion Required
FINAL ANSWER
1.00134615384615 1.001346 <-- Van't Hoff Factor
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Relative Lowering of Vapour Pressure Calculators

Molecular Mass of Solvent given Relative Lowering of Vapour Pressure
​ LaTeX ​ Go Molecular Mass Solvent = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*1000)/(Molality*Vapour Pressure of Pure Solvent)
Relative Lowering of Vapour Pressure
​ LaTeX ​ Go Relative Lowering of Vapour Pressure = (Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)/Vapour Pressure of Pure Solvent
Mole Fraction of Solute given Vapour Pressure
​ LaTeX ​ Go Mole Fraction of Solute = (Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)/Vapour Pressure of Pure Solvent
Mole Fraction of Solvent given Vapour Pressure
​ LaTeX ​ Go Mole Fraction of Solvent = Vapour Pressure of Solvent in Solution/Vapour Pressure of Pure Solvent

Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles Formula

​LaTeX ​Go
Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*Number of Moles of Solvent)/(Number of Moles of Solute*Vapour Pressure of Pure Solvent)
i = ((po-p)*N)/(n*po)

What causes the Relative Lowering Of Vapour Pressure?

This lowering in vapour pressure is due to the fact that after the solute was added to the pure liquid (solvent), the liquid surface now had molecules of both, the pure liquid and the solute. The number of solvent molecules escaping into vapour phase gets reduced and as a result the pressure exerted by the vapour phase is also reduced. This is known as relative lowering of vapour pressure. This decrease in vapour pressure depends on the amount of non-volatile solute added in the solution irrespective of its nature and hence it is one of the colligative properties.

How to Calculate Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles?

Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles calculator uses Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*Number of Moles of Solvent)/(Number of Moles of Solute*Vapour Pressure of Pure Solvent) to calculate the Van't Hoff Factor, The Van't Hoff Factor for Relative Lowering of Vapour Pressure using number of moles is the ratio between the actual concentration of particles produced when the substance is dissolved and the concentration of a substance as calculated from its mass. Van't Hoff Factor is denoted by i symbol.

How to calculate Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles using this online calculator? To use this online calculator for Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles, enter Vapour Pressure of Pure Solvent (po), Vapour Pressure of Solvent in Solution (p), Number of Moles of Solvent (N) & Number of Moles of Solute (n) and hit the calculate button. Here is how the Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles calculation can be explained with given input values -> 1.001346 = ((2000-1895.86)*10)/(0.52*2000).

FAQ

What is Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles?
The Van't Hoff Factor for Relative Lowering of Vapour Pressure using number of moles is the ratio between the actual concentration of particles produced when the substance is dissolved and the concentration of a substance as calculated from its mass and is represented as i = ((po-p)*N)/(n*po) or Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*Number of Moles of Solvent)/(Number of Moles of Solute*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, Number of Moles of Solvent is the total number of representative particles present in the solvent & The number of Moles of Solute is the total number of representative particles present in the solute.
How to calculate Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles?
The Van't Hoff Factor for Relative Lowering of Vapour Pressure using number of moles is the ratio between the actual concentration of particles produced when the substance is dissolved and the concentration of a substance as calculated from its mass is calculated using Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*Number of Moles of Solvent)/(Number of Moles of Solute*Vapour Pressure of Pure Solvent). To calculate Van't Hoff Factor for Relative Lowering of Vapour Pressure using Number of Moles, you need Vapour Pressure of Pure Solvent (po), Vapour Pressure of Solvent in Solution (p), Number of Moles of Solvent (N) & Number of Moles of Solute (n). With our tool, you need to enter the respective value for Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Number of Moles of Solvent & Number of Moles of Solute 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 Van't Hoff Factor?
In this formula, Van't Hoff Factor uses Vapour Pressure of Pure Solvent, Vapour Pressure of Solvent in Solution, Number of Moles of Solvent & Number of Moles of Solute. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Van't Hoff Factor = ((Vapour Pressure of Pure Solvent-Vapour Pressure of Solvent in Solution)*1000)/(Vapour Pressure of Pure Solvent*Molality*Molecular Mass Solvent)
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