Number of Collision Per Unit Volume Per Unit Time Between Same Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Collision Per Unit Volume Per Unit Time = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414
ZAA = (1*pi*((σ)^2) *avg*((NA*)^2))/1.414
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Number of Collision Per Unit Volume Per Unit Time - (Measured in 1/(Cubic Meter*Second)) - Number of 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: 5 Meter --> 5 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
ZAA = (1*pi*((σ)^2) *V avg*((NA*)^2))/1.414 --> (1*pi*((5)^2) *500*((3.4)^2))/1.414
Evaluating ... ...
ZAA = 321046.774005463
STEP 3: Convert Result to Output's Unit
321046.774005463 1/(Cubic Meter*Second) --> No Conversion Required
FINAL ANSWER
321046.774005463 1/(Cubic Meter*Second) <-- Number of Collision Per Unit Volume Per Unit Time
(Calculation completed in 00.031 seconds)

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4 Collision Theory Calculators

Number of Collision Per Unit Volume Per Unit Time Between A and B
Number of Collision per Unit Volume per Unit Time = (pi*((Closeness of Approach for Collision)^2)*Number of A Molecules Per Unit Volume of Vessel*Number of B Molecules Per Unit Volume of Vessel*(((8*[BoltZ]*Temperature)/(pi*Reduced Mass))^1/2)) Go
Ratio of Pre Exponential Factor
Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1))) Go
Number of Collision Per Unit Volume Per Unit Time Between Same Molecule
Number of Collision Per Unit Volume Per Unit Time = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414 Go
Ratio of Two Maximum Rate of Biomolecular Reaction
Ratio of Two Maximum Rate of Biomolecular Reaction = (Temperature 1/Temperature 2)^1/2 Go

Number of Collision Per Unit Volume Per Unit Time Between Same Molecule Formula

Number of Collision Per Unit Volume Per Unit Time = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414
ZAA = (1*pi*((σ)^2) *avg*((NA*)^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 Number of Collision Per Unit Volume Per Unit Time = (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 Number of Collision Per Unit Volume Per Unit Time, 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. Number of Collision Per Unit Volume Per Unit Time is denoted by ZAA 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 (V avg) & Number of A Molecules Per Unit Volume of Vessel (NA*) 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 -> 321046.8 = (1*pi*((5)^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 ZAA = (1*pi*((σ)^2) *avg*((NA*)^2))/1.414 or Number of Collision Per Unit Volume Per Unit Time = (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 Number of Collision Per Unit Volume Per Unit Time = (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 (V avg) & Number of A Molecules Per Unit Volume of Vessel (NA*). 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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