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

STEP 0: Pre-Calculation Summary
Formula Used
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))
[R]CP = (k1*[A])/(k2*(1-α)*[A]+(kw+kg))
This formula uses 7 Variables
Variables Used
Concentration of Radical given CP - (Measured in Mole per Cubic Meter) - Concentration of Radical given CP 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]CP = (k1*[A])/(k2*(1-α)*[A]+(kw+kg)) --> (0.07*60500)/(1.1E-07*(1-2.5)*60500+(30.75+27.89))
Evaluating ... ...
[R]CP = 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 CP
(Calculation completed in 00.004 seconds)

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​ LaTeX ​ 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
​ LaTeX ​ 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))
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Concentration of Radical in Stationary Chain Reactions
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Collision Theory and Chain Reactions Calculators

Concentration of Radical in Non-Stationary Chain Reactions
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
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Concentration of Radical formed during Chain Propagation Step given kw and kg Formula

​LaTeX ​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))
[R]CP = (k1*[A])/(k2*(1-α)*[A]+(kw+kg))

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 are k1, k2, kw and kg?

In a chain reaction, the reaction rate constant for the chain initiation step reaction is given by k1,
the reaction rate constant for the chain propagation step reaction is given by k2,
the reaction rate constant for the chain termination step reaction is given by k3 but as the destruction of radical in the rate termination step may result in two ways, i.e. at the wall of the vessel or by direct collision with another radical, therefore the rate constant for termination step is divided into two parts as in the rate constant for the reaction taking place at the wall is given by kw and the rate constant for the reaction in which direct collision takes place is referred as kg.

How to Calculate Concentration of Radical formed during Chain Propagation Step given kw and kg?

Concentration of Radical formed during Chain Propagation Step given kw and kg calculator uses 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)) to calculate the Concentration of Radical given CP, The Concentration of Radical formed during Chain Propagation Step given kw and kg formula is defined as the amount of radical formed in the chain propagation step of a chain reaction. Concentration of Radical given CP is denoted by [R]CP symbol.

How to calculate Concentration of Radical formed during Chain Propagation Step given kw and kg using this online calculator? To use this online calculator for Concentration of Radical formed during Chain Propagation Step given kw and kg, 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 (kw) & Rate Constant within Gaseous Phase (kg) and hit the calculate button. Here is how the Concentration of Radical formed during Chain Propagation Step given kw and kg calculation can be explained with given input values -> 7.2E-5 = (0.07*60500)/(1.1E-07*(1-2.5)*60500+(30.75+27.89)).

FAQ

What is Concentration of Radical formed during Chain Propagation Step given kw and kg?
The Concentration of Radical formed during Chain Propagation Step given kw and kg formula is defined as the amount of radical formed in the chain propagation step of a chain reaction and is represented as [R]CP = (k1*[A])/(k2*(1-α)*[A]+(kw+kg)) or 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)). 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 formed during Chain Propagation Step given kw and kg?
The Concentration of Radical formed during Chain Propagation Step given kw and kg formula is defined as the amount of radical formed in the chain propagation step of a chain reaction is calculated using 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)). To calculate Concentration of Radical formed during Chain Propagation Step given kw and kg, 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 (kw) & Rate Constant within Gaseous Phase (kg). 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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