LCM of three numbers

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

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✖Diameter of Molecule A is defined as the closeness of approach for the molecular Collision.ⓘ Diameter of Molecule A [σ]			+10% -10%
✖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.ⓘ Average Speed of Gas [V_avg]			+10% -10%
✖Number of A Molecules per unit Volume of vessel is defined as the no of molecules of A present in the Volume of vessel.ⓘ Number of A Molecules Per Unit Volume of Vessel [N^*]			+10% -10%

✖The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system.ⓘ Number of Collision per Unit Volume per Unit Time between Same Molecule [Z_A]

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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
Z_A = (1*pi*((σ)^2)*V_avg*((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

Z_A = (1*pi*((σ)^2)*V_avg*((N^*)^2))/1.414 --> (1*pi*((10)^2)*500*((3.4)^2))/1.414

Evaluating ... ...

Z_A = 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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Number of Collision per Unit Volume per Unit Time between Same Molecule

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

LaTeX 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
Z_A = (1*pi*((σ)^2)*V_avg*((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 Z_A 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 (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 Z_A = (1*pi*((σ)^2)*V_avg*((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 (V_avg) & 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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