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

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Concentration of Radical in Non-Stationary Chain Reactions

Formula

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

Example

`"0.072233M"=("70L/(mol*s)"*"60.5M")/(-"0.00011L/(mol*s)"*("2.5"-1)*"60.5M"+("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 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))
[R]_nonCR = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g))
This formula uses 7 Variables

Variables Used

Concentration of Radical given nonCR - (Measured in Mole per Cubic Meter) - Concentration of Radical given nonCR 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: 60.5 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
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]_nonCR = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g)) --> (0.07*60500)/(-1.1E-07*(2.5-1)*60500+(30.75+27.89))

Evaluating ... ...

[R]_nonCR = 72.2326238432387

STEP 3: Convert Result to Output's Unit

72.2326238432387 Mole per Cubic Meter -->0.0722326238432387 Molar(M) (Check conversion here)

FINAL ANSWER

0.0722326238432387 ≈ 0.072233 Molar(M) <-- Concentration of Radical given nonCR

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Chemical Kinetics » Chain Reactions » Concentration of Radical in Non-Stationary Chain Reactions

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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 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 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)) to calculate the Concentration of Radical given nonCR, 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 given nonCR is denoted by [R]_nonCR 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 -> 7.2E-5 = (0.07*60500)/(-1.1E-07*(2.5-1)*60500+(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]_nonCR = (k₁*[A])/(-k₂*(α-1)*[A]+(k_w+k_g)) or 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)). 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 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)). 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.

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