Concentration of Radical in Stationary Chain Reactions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase)
[R]SCR = (k1*[A])/(kw+kg)
This formula uses 5 Variables
Variables Used
Concentration of Radical given SCR - (Measured in Mole per Cubic Meter) - Concentration of Radical given SCR 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.
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)
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]SCR = (k1*[A])/(kw+kg) --> (0.07*60500)/(30.75+27.89)
Evaluating ... ...
[R]SCR = 72.2203274215553
STEP 3: Convert Result to Output's Unit
72.2203274215553 Mole per Cubic Meter -->0.0722203274215552 Molar(M) (Check conversion here)
FINAL ANSWER
0.0722203274215552 0.07222 Molar(M) <-- Concentration of Radical given SCR
(Calculation completed in 00.004 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
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)
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 Stationary Chain Reactions Formula

Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase)
[R]SCR = (k1*[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 is Stationary Reaction?

In stationary reaction, concentration of the radical is simply equal to the ratio of the rate of formation of the radical in the chain initiation step to the rate of destruction of the radical in the chain termination step.

How to Calculate Concentration of Radical in Stationary Chain Reactions?

Concentration of Radical in Stationary Chain Reactions calculator uses Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase) to calculate the Concentration of Radical given SCR, The Concentration of Radical in Stationary Chain Reactions formula is defined as amount of radical formed in a stationary chain reaction, i.e. when α =1. Concentration of Radical given SCR is denoted by [R]SCR symbol.

How to calculate Concentration of Radical in Stationary Chain Reactions using this online calculator? To use this online calculator for Concentration of Radical in Stationary Chain Reactions, enter Reaction Rate Constant for Initiation Step (k1), Concentration of Reactant A ([A]), Rate Constant at Wall (kw) & Rate Constant within Gaseous Phase (kg) and hit the calculate button. Here is how the Concentration of Radical in Stationary Chain Reactions calculation can be explained with given input values -> 7.2E-5 = (0.07*60500)/(30.75+27.89).

FAQ

What is Concentration of Radical in Stationary Chain Reactions?
The Concentration of Radical in Stationary Chain Reactions formula is defined as amount of radical formed in a stationary chain reaction, i.e. when α =1 and is represented as [R]SCR = (k1*[A])/(kw+kg) or Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*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, 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 Stationary Chain Reactions?
The Concentration of Radical in Stationary Chain Reactions formula is defined as amount of radical formed in a stationary chain reaction, i.e. when α =1 is calculated using Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase). To calculate Concentration of Radical in Stationary Chain Reactions, you need Reaction Rate Constant for Initiation Step (k1), Concentration of Reactant A ([A]), 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, 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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