Concentration of Radical in Non-Stationary Chain Reactions 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%
✖Rate Constant at Wall is defined as the a coefficient of proportionality relating the rate of a chemical reaction taking place at the wall.ⓘ Rate Constant at Wall [k_w]			+10% -10%
✖Rate Constant within Gaseous Phase is defined the a coefficient of proportionality relating the rate of a chemical reaction taking place within the gaseous phase.ⓘ Rate Constant within Gaseous Phase [k_g]			+10% -10%

✖Concentration of Radical is defined as the amount of radical in the chain propagation step.ⓘ Concentration of Radical in Non-Stationary Chain Reactions [[R]]

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Concentration of Radical in Non-Stationary Chain Reactions

Formula

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

Example

`"0.071632mol/L"=("70L/(mol*s)"*"60mol/L")/(-"0.00011L/(mol*s)"*("2"-1)*"60mol/L"+("30.75s⁻¹"+"27.89s⁻¹"))`

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Concentration of Radical in Non-Stationary Chain Reactions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Concentration of Radical = (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))
[R] = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g))
This formula uses 7 Variables

Variables Used

Concentration of Radical - (Measured in Mole per Cubic Meter) - Concentration of Radical 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.
Rate Constant at Wall - (Measured in 1 Per Second) - Rate Constant at Wall is defined as the a coefficient of proportionality relating the rate of a chemical reaction taking place at the wall.
Rate Constant within Gaseous Phase - (Measured in 1 Per Second) - Rate Constant within Gaseous Phase is defined the a coefficient of proportionality relating the rate of a chemical reaction taking place within the gaseous phase.

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 Mole per Liter --> 60000 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 --> No Conversion Required
Rate Constant at Wall: 30.75 1 Per Second --> 30.75 1 Per Second No Conversion Required
Rate Constant within Gaseous Phase: 27.89 1 Per Second --> 27.89 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[R] = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g)) --> (0.07*60000)/(-1.1E-07*(2-1)*60000+(30.75+27.89))

Evaluating ... ...

[R] = 71.6315274229364

STEP 3: Convert Result to Output's Unit

71.6315274229364 Mole per Cubic Meter -->0.0716315274229364 Mole per Liter (Check conversion here)

FINAL ANSWER

0.0716315274229364 ≈ 0.071632 Mole per Liter <-- Concentration of Radical

(Calculation completed in 00.005 seconds)

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< 4 Chain Reactions Calculators

Concentration of Radical in Non-Stationary Chain Reactions

Go Concentration of Radical = (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 = (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

Concentration of Radical in Stationary Chain Reactions

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

Concentration of Radical in Non-Stationary Chain Reactions Formula

What are the characteristics of a Chain Reaction?

Chain reaction is defined as a complex sequence of elementary steps. The various steps can be classified as :
1. Chain Initiation Step
2. Chain Propagation Step
3. Chain Inhibition Step
4. Chain Termination Step

What is Non-Stationary Chain Reaction?

In non- stationary chain reaction, the chain propagation step include reaction which consumes one radical and produces more than one radical.
Since reaction rate is expected to be proportional to the concentration of radicals, that the reaction proceeds with such a large rate that an explosion occurs.
The occurrence of an explosion depends on the temperature and pressure of the reacting system.

How to Calculate Concentration of Radical in Non-Stationary Chain Reactions?

Concentration of Radical in Non-Stationary Chain Reactions calculator uses Concentration of Radical = (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)) to calculate the Concentration of Radical, The Concentration of Radical in Non-Stationary Chain Reactions formula is defined as the amount of radical formed in a non-stationary chain reaction, i.e. when α >1. Concentration of Radical is denoted by [R] symbol.

How to calculate Concentration of Radical in Non-Stationary Chain Reactions using this online calculator? To use this online calculator for Concentration of Radical in Non-Stationary Chain Reactions, 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), Rate Constant at Wall (k_w) & Rate Constant within Gaseous Phase (k_g) and hit the calculate button. Here is how the Concentration of Radical in Non-Stationary Chain Reactions calculation can be explained with given input values -> 80.70715 = (70*60000)/(-0.00011*(2-1)*60000+(30.75+27.89)).

FAQ

What is Concentration of Radical in Non-Stationary Chain Reactions?

The Concentration of Radical in Non-Stationary Chain Reactions formula is defined as the amount of radical formed in a non-stationary chain reaction, i.e. when α >1 and is represented as [R] = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g)) or Concentration of Radical = (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)). 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, Rate Constant at Wall is defined as the a coefficient of proportionality relating the rate of a chemical reaction taking place at the wall & Rate Constant within Gaseous Phase is defined the a coefficient of proportionality relating the rate of a chemical reaction taking place within the gaseous phase.

How to calculate Concentration of Radical in Non-Stationary Chain Reactions?

The Concentration of Radical in Non-Stationary Chain Reactions formula is defined as the amount of radical formed in a non-stationary chain reaction, i.e. when α >1 is calculated using Concentration of Radical = (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)). To calculate Concentration of Radical in Non-Stationary Chain Reactions, 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), Rate Constant at Wall (k_w) & Rate Constant within Gaseous Phase (k_g). 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, Rate Constant at Wall & Rate Constant within Gaseous Phase 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 Concentration of Radical?

In this formula, Concentration of Radical uses Reaction Rate Constant for Initiation Step, Concentration of Reactant A, Reaction Rate Constant for Propagation Step, No. of Radicals Formed, Rate Constant at Wall & Rate Constant within Gaseous Phase. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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