Van't Hoff equation for Depression in Freezing Point of electrolyte Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
ΔTf = i*kf*m
This formula uses 4 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.
Van't Hoff Factor - A Van't Hoff Factor is the ratio of observed colligative property to theoretical colligative property.
Cryoscopic Constant - (Measured in Kelvin Kilogram per Mole) - The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent.
Molality - (Measured in Mole per Kilogram) - Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.
STEP 1: Convert Input(s) to Base Unit
Van't Hoff Factor: 1.008 --> No Conversion Required
Cryoscopic Constant: 6.65 Kelvin Kilogram per Mole --> 6.65 Kelvin Kilogram per Mole No Conversion Required
Molality: 1.79 Mole per Kilogram --> 1.79 Mole per Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ΔTf = i*kf*m --> 1.008*6.65*1.79
Evaluating ... ...
ΔTf = 11.998728
STEP 3: Convert Result to Output's Unit
11.998728 Kelvin --> No Conversion Required
FINAL ANSWER
11.998728 11.99873 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

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

Van't Hoff equation for Depression in Freezing Point of electrolyte Formula

​LaTeX ​Go
Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality
ΔTf = i*kf*m

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 Van't Hoff equation for Depression in Freezing Point of electrolyte?

Van't Hoff equation for Depression in Freezing Point of electrolyte calculator uses Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality to calculate the Depression in Freezing Point, The Van't Hoff equation for Depression in Freezing Point of electrolyte 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 = i x Kf × m. Depression in Freezing Point is denoted by ΔTf symbol.

How to calculate Van't Hoff equation for Depression in Freezing Point of electrolyte using this online calculator? To use this online calculator for Van't Hoff equation for Depression in Freezing Point of electrolyte, enter Van't Hoff Factor (i), Cryoscopic Constant (kf) & Molality (m) and hit the calculate button. Here is how the Van't Hoff equation for Depression in Freezing Point of electrolyte calculation can be explained with given input values -> 3.343405 = 1.008*6.65*1.79.

FAQ

What is Van't Hoff equation for Depression in Freezing Point of electrolyte?
The Van't Hoff equation for Depression in Freezing Point of electrolyte 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 = i x Kf × m and is represented as ΔTf = i*kf*m or Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality. A Van't Hoff Factor is the ratio of observed colligative property to theoretical colligative property, The Cryoscopic Constant is described as the freezing point depression when a mole of non-volatile solute is dissolved in one kg of solvent & Molality is defined as the total number of moles of solute per kilograms of solvent present in the solution.
How to calculate Van't Hoff equation for Depression in Freezing Point of electrolyte?
The Van't Hoff equation for Depression in Freezing Point of electrolyte 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 = i x Kf × m is calculated using Depression in Freezing Point = Van't Hoff Factor*Cryoscopic Constant*Molality. To calculate Van't Hoff equation for Depression in Freezing Point of electrolyte, you need Van't Hoff Factor (i), Cryoscopic Constant (kf) & Molality (m). With our tool, you need to enter the respective value for Van't Hoff Factor, Cryoscopic Constant & Molality 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 Van't Hoff Factor, Cryoscopic Constant & Molality. 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 = ((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))
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