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

STEP 0: Pre-Calculation Summary
Formula Used
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
ZA = (1*pi*((σ)^2) *Vavg*((N*)^2))/1.414
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Molecular Collision - (Measured in Collisions per Cubic Meter per Second) - The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system.
Diameter of Molecule A - (Measured in Meter) - Diameter of Molecule A is defined as the closeness of approach for the molecular Collision.
Average Speed of Gas - (Measured in Meter per Second) - Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.
Number of A Molecules Per Unit Volume of Vessel - (Measured in 1 per Cubic Meter) - Number of A Molecules per unit Volume of vessel is defined as the no of molecules of A present in the Volume of vessel.
STEP 1: Convert Input(s) to Base Unit
Diameter of Molecule A: 10 Meter --> 10 Meter No Conversion Required
Average Speed of Gas: 500 Meter per Second --> 500 Meter per Second No Conversion Required
Number of A Molecules Per Unit Volume of Vessel: 3.4 1 per Cubic Meter --> 3.4 1 per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ZA = (1*pi*((σ)^2) *Vavg*((N*)^2))/1.414 --> (1*pi*((10)^2) *500*((3.4)^2))/1.414
Evaluating ... ...
ZA = 1284187.09602185
STEP 3: Convert Result to Output's Unit
1284187.09602185 Collisions per Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
1284187.09602185 1.3E+6 Collisions per Cubic Meter per Second <-- Molecular Collision
(Calculation completed in 00.004 seconds)

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4 Collision Theory Calculators

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)))
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

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

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

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
ZA = (1*pi*((σ)^2) *Vavg*((N*)^2))/1.414

What is Collision theory of Biomolecular reaction ?

Collision theory of biomolecular reaction gives the rate constant for bimolecular gas-phase reactions; it is equal to the rate of successful collisions. The rate of successful collisions is proportional to the fraction of successful collisions multiplied by the overall collision frequency.

How to Calculate Number of Collision per Unit Volume per Unit Time between Same Molecule?

Number of Collision per Unit Volume per Unit Time between Same Molecule calculator uses 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 to calculate the Molecular Collision, Number of Collision per Unit Volume per Unit Time between Same Molecule is defined as the rate of collisions between two atomic or molecular species in a given volume, per unit time. Molecular Collision is denoted by ZA symbol.

How to calculate Number of Collision per Unit Volume per Unit Time between Same Molecule using this online calculator? To use this online calculator for Number of Collision per Unit Volume per Unit Time between Same Molecule, enter Diameter of Molecule A (σ), Average Speed of Gas (Vavg) & Number of A Molecules Per Unit Volume of Vessel (N*) and hit the calculate button. Here is how the Number of Collision per Unit Volume per Unit Time between Same Molecule calculation can be explained with given input values -> 1.3E+6 = (1*pi*((10)^2) *500*((3.4)^2))/1.414.

FAQ

What is Number of Collision per Unit Volume per Unit Time between Same Molecule?
Number of Collision per Unit Volume per Unit Time between Same Molecule is defined as the rate of collisions between two atomic or molecular species in a given volume, per unit time and is represented as ZA = (1*pi*((σ)^2) *Vavg*((N*)^2))/1.414 or 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. Diameter of Molecule A is defined as the closeness of approach for the molecular Collision, Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages & Number of A Molecules per unit Volume of vessel is defined as the no of molecules of A present in the Volume of vessel.
How to calculate Number of Collision per Unit Volume per Unit Time between Same Molecule?
Number of Collision per Unit Volume per Unit Time between Same Molecule is defined as the rate of collisions between two atomic or molecular species in a given volume, per unit time is calculated using 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. To calculate Number of Collision per Unit Volume per Unit Time between Same Molecule, you need Diameter of Molecule A (σ), Average Speed of Gas (Vavg) & Number of A Molecules Per Unit Volume of Vessel (N*). With our tool, you need to enter the respective value for Diameter of Molecule A, Average Speed of Gas & Number of A Molecules Per Unit Volume of Vessel 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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