Concentration of Radical formed in Chain Reaction Calculator

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✖Reaction Rate Constant for Initiation Step is defined as the rate constant for the first reaction step in which highly reactive intermediates species like free radicals, atoms are formed.ⓘ Reaction Rate Constant for Initiation Step [k₁]			+10% -10%
✖Concentration of Reactant A is defined as the concentration of substance A after reacting for a given interval of time t.ⓘ Concentration of Reactant A [[A]]			+10% -10%
✖Reaction Rate Constant for Propagation Step is defined as the rate constant for the reaction step in which highly reactive intermediates reacts to produce products or new reactive intermediates.ⓘ Reaction Rate Constant for Propagation Step [k₂]			+10% -10%
✖No. of Radicals Formed is defined as the total number of radicals formed in the chain propagation step of a chain reaction.ⓘ No. of Radicals Formed [α]			+10% -10%
✖Reaction Rate Constant for Termination Step is referred to the rate constant for the reaction step in which the reactive intermediate is destroyed by combining with another reactive intermediate.ⓘ Reaction Rate Constant for Termination Step [k₃]			+10% -10%

✖Concentration of Radical given CR is defined as the amount of radical in the chain propagation step.ⓘ Concentration of Radical formed in Chain Reaction [[R]_CR]

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Formula

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Concentration of Radical formed in Chain Reaction

Formula

`""[R]""_{"CR"} = ("k"_{"1"}*"[A]")/("k"_{"2"}*(1-"α")*"[A]"+"k"_{"3"})`

Example

`"84.67037M"=("70L/(mol*s)"*"60.5M")/("0.00011L/(mol*s)"*(1-"2.5")*"60.5M"+"60L/(mol*s)")`

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Concentration of Radical formed in Chain Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step)
[R]_CR = (k₁*[A])/(k₂*(1-α)*[A]+k₃)
This formula uses 6 Variables

Variables Used

Concentration of Radical given CR - (Measured in Mole per Cubic Meter) - Concentration of Radical given CR is defined as the amount of radical in the chain propagation step.
Reaction Rate Constant for Initiation Step - (Measured in Cubic Meter per Mole Second) - Reaction Rate Constant for Initiation Step is defined as the rate constant for the first reaction step in which highly reactive intermediates species like free radicals, atoms are formed.
Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Concentration of Reactant A is defined as the concentration of substance A after reacting for a given interval of time t.
Reaction Rate Constant for Propagation Step - (Measured in Cubic Meter per Mole Second) - Reaction Rate Constant for Propagation Step is defined as the rate constant for the reaction step in which highly reactive intermediates reacts to produce products or new reactive intermediates.
No. of Radicals Formed - No. of Radicals Formed is defined as the total number of radicals formed in the chain propagation step of a chain reaction.
Reaction Rate Constant for Termination Step - (Measured in Cubic Meter per Mole Second) - Reaction Rate Constant for Termination Step is referred to the rate constant for the reaction step in which the reactive intermediate is destroyed by combining with another reactive intermediate.

STEP 1: Convert Input(s) to Base Unit

Reaction Rate Constant for Initiation Step: 70 Liter per Mole Second --> 0.07 Cubic Meter per Mole Second (Check conversion here)
Concentration of Reactant A: 60.5 Molar(M) --> 60500 Mole per Cubic Meter (Check conversion here)
Reaction Rate Constant for Propagation Step: 0.00011 Liter per Mole Second --> 1.1E-07 Cubic Meter per Mole Second (Check conversion here)
No. of Radicals Formed: 2.5 --> No Conversion Required
Reaction Rate Constant for Termination Step: 60 Liter per Mole Second --> 0.06 Cubic Meter per Mole Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[R]_CR = (k₁*[A])/(k₂*(1-α)*[A]+k₃) --> (0.07*60500)/(1.1E-07*(1-2.5)*60500+0.06)

Evaluating ... ...

[R]_CR = 84670.3653721198

STEP 3: Convert Result to Output's Unit

84670.3653721198 Mole per Cubic Meter -->84.6703653721198 Molar(M) (Check conversion here)

FINAL ANSWER

84.6703653721198 ≈ 84.67037 Molar(M) <-- Concentration of Radical given CR

(Calculation completed in 00.020 seconds)

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< 4 Chain Reactions Calculators

Concentration of Radical in Non-Stationary Chain Reactions

Go Concentration of Radical given nonCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(-Reaction Rate Constant for Propagation Step*(No. of Radicals Formed-1)*Concentration of Reactant A+(Rate Constant at Wall+Rate Constant within Gaseous Phase))

Concentration of Radical formed during Chain Propagation Step given kw and kg

Go Concentration of Radical given CP = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+(Rate Constant at Wall+Rate Constant within Gaseous Phase))

Concentration of Radical formed in Chain Reaction

Go Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step)

Concentration of Radical in Stationary Chain Reactions

Go Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase)

< 8 Collision Theory and Chain Reactions Calculators

Concentration of Radical in Non-Stationary Chain Reactions

Concentration of Radical formed during Chain Propagation Step given kw and kg

Concentration of Radical formed in Chain Reaction

Number of Collision per Unit Volume per Unit Time between A and B

Go Number of Collision between A and B = (pi*((Closeness of Approach for Collision)^2)*Molecular Collision per Unit Volume per Unit Time*(((8*[BoltZ]*Temperature_Kinetics)/(pi*Reduced Mass))^1/2))

Ratio of Pre-Exponential Factor

Go Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1)))

Concentration of Radical in Stationary Chain Reactions

Go Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase)

Number of Collision per Unit Volume per Unit Time between Same Molecule

Go Molecular Collision = (1*pi*((Diameter of Molecule A)^2)*Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414

Ratio of Two Maximum Rate of Biomolecular Reaction

Go Ratio of Two Maximum Rate of Biomolecular Reaction = (Temperature 1/Temperature 2)^1/2

Concentration of Radical formed in Chain Reaction Formula

What is Chain Reaction?

A chain reaction is a sequence of reactions where a reactive product or by-product causes additional reactions to take place. In a chain reaction, positive feedback leads to a self-amplifying chain of events.
The main types of steps in chain reaction are of the following types.
1. Initiation (formation of active particles or chain carriers, often free radicals, in either a thermal or a photochemical step).
2. Propagation (may comprise several elementary steps in a cycle, where the active particle through reaction forms another active particle which continues the reaction chain by entering the next elementary step). In effect the active particle serves as a catalyst for the overall reaction of the propagation cycle.
3.Termination (elementary step in which the active particle loses its activity; e. g. by recombination of two free radicals).
The chain length is defined as the average number of times the propagation cycle is repeated, and equals the overall reaction rate divided by the initiation rate.

How to Calculate Concentration of Radical formed in Chain Reaction?

Concentration of Radical formed in Chain Reaction calculator uses Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step) to calculate the Concentration of Radical given CR, The Concentration of Radical formed in Chain Reaction formula is defined as the general form in which one can find out the concentration of the an reactive intermediate (free radical) which the concentration of reactant, and the rate constants of the various reactions taking place at the initiation, propagation and termination steps of the chain reaction. Concentration of Radical given CR is denoted by [R]_CR symbol.

How to calculate Concentration of Radical formed in Chain Reaction using this online calculator? To use this online calculator for Concentration of Radical formed in Chain Reaction, enter Reaction Rate Constant for Initiation Step (k₁), Concentration of Reactant A ([A]), Reaction Rate Constant for Propagation Step (k₂), No. of Radicals Formed (α) & Reaction Rate Constant for Termination Step (k₃) and hit the calculate button. Here is how the Concentration of Radical formed in Chain Reaction calculation can be explained with given input values -> 0.08467 = (0.07*60500)/(1.1E-07*(1-2.5)*60500+0.06).

FAQ

What is Concentration of Radical formed in Chain Reaction?

The Concentration of Radical formed in Chain Reaction formula is defined as the general form in which one can find out the concentration of the an reactive intermediate (free radical) which the concentration of reactant, and the rate constants of the various reactions taking place at the initiation, propagation and termination steps of the chain reaction and is represented as [R]_CR = (k₁*[A])/(k₂*(1-α)*[A]+k₃) or Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step). Reaction Rate Constant for Initiation Step is defined as the rate constant for the first reaction step in which highly reactive intermediates species like free radicals, atoms are formed, Concentration of Reactant A is defined as the concentration of substance A after reacting for a given interval of time t, Reaction Rate Constant for Propagation Step is defined as the rate constant for the reaction step in which highly reactive intermediates reacts to produce products or new reactive intermediates, No. of Radicals Formed is defined as the total number of radicals formed in the chain propagation step of a chain reaction & Reaction Rate Constant for Termination Step is referred to the rate constant for the reaction step in which the reactive intermediate is destroyed by combining with another reactive intermediate.

How to calculate Concentration of Radical formed in Chain Reaction?

The Concentration of Radical formed in Chain Reaction formula is defined as the general form in which one can find out the concentration of the an reactive intermediate (free radical) which the concentration of reactant, and the rate constants of the various reactions taking place at the initiation, propagation and termination steps of the chain reaction is calculated using Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step). To calculate Concentration of Radical formed in Chain Reaction, you need Reaction Rate Constant for Initiation Step (k₁), Concentration of Reactant A ([A]), Reaction Rate Constant for Propagation Step (k₂), No. of Radicals Formed (α) & Reaction Rate Constant for Termination Step (k₃). With our tool, you need to enter the respective value for Reaction Rate Constant for Initiation Step, Concentration of Reactant A, Reaction Rate Constant for Propagation Step, No. of Radicals Formed & Reaction Rate Constant for Termination Step 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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