Relation between First and Second Stability Constant Calculator

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✖pH of Ligand is a measure of the acidity or alkalinity of a solution equal to the common logarithm of the reciprocal of the concentration of Ligands in moles per cubic decimetre of solution.ⓘ pH of Ligand [pL]			+10% -10%
✖Formation Factor for Complexation is the ratio of the total concentration of the ligand bound to the metal ion to the total concentration of the metal ion.ⓘ Formation Factor for Complexation [n_factor]			+10% -10%
✖First Stability Constant is an equilibrium constant for the formation of a metal ligand complex.ⓘ First Stability Constant [k₁]			+10% -10%

✖Second Stability Constant is an equilibrium constant for the formation of complex formed between a metal and two ligand.ⓘ Relation between First and Second Stability Constant [K₂]

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Formula

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Relation between First and Second Stability Constant

Formula

`"K"_{"2"} = 10^((2*"pL")+log10("n"_{"factor"}/((2-"n"_{"factor"})*"k"_{"1"})))`

Example

`"0.53081"=10^((2*"0.3")+log10("0.5"/((2-"0.5")*"2.5")))`

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Relation between First and Second Stability Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Second Stability Constant = 10^((2*pH of Ligand)+log10(Formation Factor for Complexation/((2-Formation Factor for Complexation)*First Stability Constant)))
K₂ = 10^((2*pL)+log10(n_factor/((2-n_factor)*k₁)))
This formula uses 1 Functions, 4 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Second Stability Constant - Second Stability Constant is an equilibrium constant for the formation of complex formed between a metal and two ligand.
pH of Ligand - pH of Ligand is a measure of the acidity or alkalinity of a solution equal to the common logarithm of the reciprocal of the concentration of Ligands in moles per cubic decimetre of solution.
Formation Factor for Complexation - Formation Factor for Complexation is the ratio of the total concentration of the ligand bound to the metal ion to the total concentration of the metal ion.
First Stability Constant - First Stability Constant is an equilibrium constant for the formation of a metal ligand complex.

STEP 1: Convert Input(s) to Base Unit

pH of Ligand: 0.3 --> No Conversion Required
Formation Factor for Complexation: 0.5 --> No Conversion Required
First Stability Constant: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₂ = 10^((2*pL)+log10(n_factor/((2-n_factor)*k₁))) --> 10^((2*0.3)+log10(0.5/((2-0.5)*2.5)))

Evaluating ... ...

K₂ = 0.530809560737996

STEP 3: Convert Result to Output's Unit

0.530809560737996 --> No Conversion Required

FINAL ANSWER

0.530809560737996 ≈ 0.53081 <-- Second Stability Constant

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Inorganic Chemistry » Complex Equilibria » Relation between First and Second Stability Constant

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< 12 Complex Equilibria Calculators

Second Stability Constant

Go Second Stability Constant = (Formation Factor for Complexation*(Formation Factor for Second Order-1)*First Stability Constant*Ligand Concentration of the Complex)/(Ligand Concentration of the Complex*Ligand Concentration of the Complex*(2-Formation Factor for Complexation)*First Stability Constant)

Change in Stability Constant

Go Change in Stability Constant of the Complex = 10^(log10(Stability Constant for Ternary Complex)-(log10(Stability Constant for Binary Complex MA)+log10(Stability Constant for Binary Complex MB)))

Relation between First and Second Stability Constant

Go Second Stability Constant = 10^((2*pH of Ligand)+log10(Formation Factor for Complexation/((2-Formation Factor for Complexation)*First Stability Constant)))

First Stability Constant

Go First Stability Constant = 10^(log10(Formation Factor for Complexation/(1-Formation Factor for Complexation))+pH of Ligand)

Stability Constant of Ternary Complexes

Go Stability Constant for Ternary Complex = (Concentration of Ternary Complex)/(Concentration of Binary Ion*Ligand Concentration of the Complex)

Stability Constant of Binary Complexes

Go Stability Constant for Binary Complex = (Concentration of Binary Ion)/(Concentration of Metal in Complex*Ligand Concentration of the Complex)

Concentration of Unbound Ligand

Go Concentration of Unbound Ligand = Total Bound Ligand of Complex-(Formation Factor for Complexation*Total Metal Concentration of Complex)

Formation Factor

Go Formation Factor for Complexation = (Total Bound Ligand of Complex-Concentration of Unbound Ligand)/Total Metal Concentration of Complex

Total Metal Ligand Concentration

Go Total Metal Ligand Concentration of Complex = Total Metal Concentration of Complex+Total Bound Ligand of Complex

Ligand Stoichiometry in Complex Equilibrium

Go Stoichiometric Coefficient of Lewis Base = Maxima of pL Curve/(1-Maxima of pL Curve)

pH of Ligand

Go pH of Ligand = -log10(Ligand Concentration of the Complex)

Stability Constant of Complex Compound

Go Stability Constant of Complex = 1/Dissociation Constant of the Complex

Relation between First and Second Stability Constant Formula

What is Boltzmann Factor and why is it so important ?

The rates of many physical processes are also determined by the Boltzmann factor. For a random particle, its thermal energy of a particle is a small multiple of the energy kT. An increase in temperature results in more particles crossing the energy barrier characteristic of activation processes.

What do you mean by stability factor?

Stability factor is defined as the rate at which collector current changes when Base to emitter voltage changes, keeping base current constant. It can also be defined as the ratio of change in collector current to change in base current when temperature changes occur.

How to Calculate Relation between First and Second Stability Constant?

Relation between First and Second Stability Constant calculator uses Second Stability Constant = 10^((2*pH of Ligand)+log10(Formation Factor for Complexation/((2-Formation Factor for Complexation)*First Stability Constant))) to calculate the Second Stability Constant, The Relation between First and Second Stability Constant formula is defined as the relation between the formation constant of the binary and ternary complex. Second Stability Constant is denoted by K₂ symbol.

How to calculate Relation between First and Second Stability Constant using this online calculator? To use this online calculator for Relation between First and Second Stability Constant, enter pH of Ligand (pL), Formation Factor for Complexation (n_factor) & First Stability Constant (k₁) and hit the calculate button. Here is how the Relation between First and Second Stability Constant calculation can be explained with given input values -> 0.53081 = 10^((2*0.3)+log10(0.5/((2-0.5)*2.5))).

FAQ

What is Relation between First and Second Stability Constant?

The Relation between First and Second Stability Constant formula is defined as the relation between the formation constant of the binary and ternary complex and is represented as K₂ = 10^((2*pL)+log10(n_factor/((2-n_factor)*k₁))) or Second Stability Constant = 10^((2*pH of Ligand)+log10(Formation Factor for Complexation/((2-Formation Factor for Complexation)*First Stability Constant))). pH of Ligand is a measure of the acidity or alkalinity of a solution equal to the common logarithm of the reciprocal of the concentration of Ligands in moles per cubic decimetre of solution, Formation Factor for Complexation is the ratio of the total concentration of the ligand bound to the metal ion to the total concentration of the metal ion & First Stability Constant is an equilibrium constant for the formation of a metal ligand complex.

How to calculate Relation between First and Second Stability Constant?

The Relation between First and Second Stability Constant formula is defined as the relation between the formation constant of the binary and ternary complex is calculated using Second Stability Constant = 10^((2*pH of Ligand)+log10(Formation Factor for Complexation/((2-Formation Factor for Complexation)*First Stability Constant))). To calculate Relation between First and Second Stability Constant, you need pH of Ligand (pL), Formation Factor for Complexation (n_factor) & First Stability Constant (k₁). With our tool, you need to enter the respective value for pH of Ligand, Formation Factor for Complexation & First Stability Constant 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 Second Stability Constant?

In this formula, Second Stability Constant uses pH of Ligand, Formation Factor for Complexation & First Stability Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Second Stability Constant = (Formation Factor for Complexation*(Formation Factor for Second Order-1)*First Stability Constant*Ligand Concentration of the Complex)/(Ligand Concentration of the Complex*Ligand Concentration of the Complex*(2-Formation Factor for Complexation)*First Stability Constant)

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