Kohlrausch Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte))
Λm = Λ0m-(K*sqrt(c))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Molar Conductivity - (Measured in Siemens Square Meter per Mole) - The Molar Conductivity is the conductance property of a solution containing one mole of the electrolyte or it is a function of the ionic strength of a solution or the concentration of salt.
Limiting Molar Conductivity - (Measured in Siemens Square Meter per Mole) - The Limiting Molar Conductivity is the molar conductivity of a solution at infinite solution.
Kohlrausch Coefficient - Kohlrausch Coefficient is the coefficient related to the stochiometry ot the electrolyte.
Concentration of Electrolyte - The Concentration of Electrolyte is the number of ions present in the given electrolyte.
STEP 1: Convert Input(s) to Base Unit
Limiting Molar Conductivity: 48 Siemens Square Meter per Mole --> 48 Siemens Square Meter per Mole No Conversion Required
Kohlrausch Coefficient: 60 --> No Conversion Required
Concentration of Electrolyte: 0.001 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Λm = Λ0m-(K*sqrt(c)) --> 48-(60*sqrt(0.001))
Evaluating ... ...
Λm = 46.102633403899
STEP 3: Convert Result to Output's Unit
46.102633403899 Siemens Square Meter per Mole --> No Conversion Required
FINAL ANSWER
46.102633403899 46.10263 Siemens Square Meter per Mole <-- Molar Conductivity
(Calculation completed in 00.004 seconds)

Credits

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Osmotic Coefficient and Current Efficiency Calculators

Kohlrausch Law
​ LaTeX ​ Go Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte))
Current Efficiency
​ LaTeX ​ Go Current Efficiency = (Actual Mass Deposited/Theoretical Mass Deposited)*100
Solubility
​ LaTeX ​ Go Solubility = Specific Conductance*1000/Limiting Molar Conductivity
Solubility Product
​ LaTeX ​ Go Solubility Product = Molar Solubility^2

Important Formulas of Current Efficiency and Resistance Calculators

Kohlrausch Law
​ LaTeX ​ Go Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte))
Current Efficiency
​ LaTeX ​ Go Current Efficiency = (Actual Mass Deposited/Theoretical Mass Deposited)*100
Excess Pressure given Osmotic Coefficient
​ LaTeX ​ Go Excess Osmotic Pressure = (Osmotic Coefficient-1)*Ideal Pressure
Ideal Pressure given Osmotic Coefficient
​ LaTeX ​ Go Ideal Pressure = Excess Osmotic Pressure/(Osmotic Coefficient-1)

Kohlrausch Law Formula

​LaTeX ​Go
Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte))
Λm = Λ0m-(K*sqrt(c))

What is Kohlrausch Law?

Kohlrausch’s law states that the equivalent conductivity of an electrolyte at infinite dilution is equal to the sum of the conductances of the anions and cations.

The molar conductivity of a solution at a given concentration is the conductance of the volume of solution containing one mole of electrolyte kept between two electrodes with the unit area of cross-section and distance of unit length. The molar conductivity of a solution increases with the decrease in concentration. This increase in molar conductivity is because of the increase in the total volume containing one mole of the electrolyte. When the concentration of the electrolyte approaches zero, the molar conductivity is known as limiting molar conductivity, Ëm°.

How to Calculate Kohlrausch Law?

Kohlrausch Law calculator uses Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte)) to calculate the Molar Conductivity, The Kohlrausch Law states that the migration of an ion at infinite dilution is dependent on the nature of the solvent and on the potential gradient but not on the other ions present. Molar Conductivity is denoted by Λm symbol.

How to calculate Kohlrausch Law using this online calculator? To use this online calculator for Kohlrausch Law, enter Limiting Molar Conductivity (Λ0m), Kohlrausch Coefficient (K) & Concentration of Electrolyte (c) and hit the calculate button. Here is how the Kohlrausch Law calculation can be explained with given input values -> 46.10263 = 48-(60*sqrt(0.001)).

FAQ

What is Kohlrausch Law?
The Kohlrausch Law states that the migration of an ion at infinite dilution is dependent on the nature of the solvent and on the potential gradient but not on the other ions present and is represented as Λm = Λ0m-(K*sqrt(c)) or Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte)). The Limiting Molar Conductivity is the molar conductivity of a solution at infinite solution, Kohlrausch Coefficient is the coefficient related to the stochiometry ot the electrolyte & The Concentration of Electrolyte is the number of ions present in the given electrolyte.
How to calculate Kohlrausch Law?
The Kohlrausch Law states that the migration of an ion at infinite dilution is dependent on the nature of the solvent and on the potential gradient but not on the other ions present is calculated using Molar Conductivity = Limiting Molar Conductivity-(Kohlrausch Coefficient*sqrt(Concentration of Electrolyte)). To calculate Kohlrausch Law, you need Limiting Molar Conductivity (Λ0m), Kohlrausch Coefficient (K) & Concentration of Electrolyte (c). With our tool, you need to enter the respective value for Limiting Molar Conductivity, Kohlrausch Coefficient & Concentration of Electrolyte and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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