Number of Bimolecular Collision per Unit Time per Unit Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area
Z = nA*nB*v*A
This formula uses 5 Variables
Variables Used
Collision Frequency - (Measured in Meter³ per Second) - Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.
Number Density for A Molecules - (Measured in Mole per Meter³) - Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).
Number Density for B Molecules - (Measured in Mole per Meter³) - Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules.
Velocity of Beam Molecules - (Measured in Meter per Second) - Velocity of Beam Molecules is the speed of beam molecules in a given direction.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
STEP 1: Convert Input(s) to Base Unit
Number Density for A Molecules: 10 Millimole per Centimeter³ --> 10000 Mole per Meter³ (Check conversion here)
Number Density for B Molecules: 10 Millimole per Centimeter³ --> 10000 Mole per Meter³ (Check conversion here)
Velocity of Beam Molecules: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Cross Sectional Area: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = nA*nB*v*A --> 10000*10000*10*10
Evaluating ... ...
Z = 10000000000
STEP 3: Convert Result to Output's Unit
10000000000 Meter³ per Second --> No Conversion Required
FINAL ANSWER
10000000000 Meter³ per Second <-- Collision Frequency
(Calculation completed in 00.028 seconds)

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National University of Judicial Science (NUJS), Kolkata
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10+ Molecular Reaction Dynamics Calculators

Collision Cross Section in Ideal Gas
Collisional Cross Section = (Collision Frequency/Number Density for A Molecules*Number Density for B Molecules)*sqrt(pi*Reduced Mass of Reactants A and B/8*[BoltZ]*Temperature) Go
Collision Frequency in Ideal Gas
Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section*sqrt((8*[BoltZ]*Time/pi*Reduced Mass of Reactants A and B)) Go
Reduced Mass of the Reactants using Collision Frequency
Reduced Mass of Reactants A and B = ((Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section/Collision Frequency)^2)*(8*[BoltZ]*Temperature/pi) Go
Number Density for A Molecules using Collision Rate Constant
Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area) Go
Cross Sectional Area using Rate of Molecular Collisions
Cross Sectional Area = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules) Go
Number of Collisions per Second in Equal Size Particles
Number of Collisions per Second = ((8*[BoltZ]*Temperature*Concentration of Equal Size Particle in Solution)/(3*Viscosity of Fluid)) Go
Concentration of Equal Size Particle in Solution using Collision Rate
Concentration of Equal Size Particle in Solution = (3*Viscosity of Fluid*Number of Collisions per Second)/(8*[BoltZ]*Temperature) Go
Number of Bimolecular Collision per Unit Time per Unit Volume
Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area Go
Reduced Mass of Reactants A and B
Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B) Go
Vibrational Frequency in terms of Boltzmann's Constant
Vibrational Frequency = ([BoltZ]*Temperature)/[hP] Go

Number of Bimolecular Collision per Unit Time per Unit Volume Formula

Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area
Z = nA*nB*v*A

What is Collision Theory?

Collision theory states that when suitable particles of the reactant hit each other with correct orientation, only a certain amount of collisions result in a perceptible or notable change; these successful changes are called successful collisions. The successful collisions must have enough energy, also known as activation energy, at the moment of impact to break the pre-existing bonds and form all new bonds.

How to Calculate Number of Bimolecular Collision per Unit Time per Unit Volume?

Number of Bimolecular Collision per Unit Time per Unit Volume calculator uses Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area to calculate the Collision Frequency, The Number of Bimolecular Collision per unit Time per unit Volume formula is defined as the rate of collisions between two atomic or molecular species in a given volume, per unit time. Collision Frequency is denoted by Z symbol.

How to calculate Number of Bimolecular Collision per Unit Time per Unit Volume using this online calculator? To use this online calculator for Number of Bimolecular Collision per Unit Time per Unit Volume, enter Number Density for A Molecules (nA), Number Density for B Molecules (nB), Velocity of Beam Molecules (v) & Cross Sectional Area (A) and hit the calculate button. Here is how the Number of Bimolecular Collision per Unit Time per Unit Volume calculation can be explained with given input values -> 1.000E+10 = 10000*10000*10*10.

FAQ

What is Number of Bimolecular Collision per Unit Time per Unit Volume?
The Number of Bimolecular Collision per unit Time per unit Volume formula 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 = nA*nB*v*A or Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area. Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration), Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules, Velocity of Beam Molecules is the speed of beam molecules in a given direction & Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
How to calculate Number of Bimolecular Collision per Unit Time per Unit Volume?
The Number of Bimolecular Collision per unit Time per unit Volume formula is defined as the rate of collisions between two atomic or molecular species in a given volume, per unit time is calculated using Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area. To calculate Number of Bimolecular Collision per Unit Time per Unit Volume, you need Number Density for A Molecules (nA), Number Density for B Molecules (nB), Velocity of Beam Molecules (v) & Cross Sectional Area (A). With our tool, you need to enter the respective value for Number Density for A Molecules, Number Density for B Molecules, Velocity of Beam Molecules & Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Collision Frequency?
In this formula, Collision Frequency uses Number Density for A Molecules, Number Density for B Molecules, Velocity of Beam Molecules & Cross Sectional Area. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section*sqrt((8*[BoltZ]*Time/pi*Reduced Mass of Reactants A and B))
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