Cross Sectional Area using Rate of Molecular Collisions Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules)
A = Z/(vbeam*nB*nA)
This formula uses 5 Variables
Variables Used
Cross Sectional Area for Quantum - (Measured in Square Meter) - Cross Sectional Area for Quantum 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 used in Quantum.
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.
Velocity of Beam Molecules - (Measured in Meter per Second) - Velocity of Beam Molecules is the speed of beam molecules in a given direction.
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.
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).
STEP 1: Convert Input(s) to Base Unit
Collision Frequency: 7 Meter³ per Second --> 7 Meter³ per Second No Conversion Required
Velocity of Beam Molecules: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Number Density for B Molecules: 14 Millimole per Centimeter³ --> 14000 Mole per Meter³ (Check conversion here)
Number Density for A Molecules: 18 Millimole per Centimeter³ --> 18000 Mole per Meter³ (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Z/(vbeam*nB*nA) --> 7/(25*14000*18000)
Evaluating ... ...
A = 1.11111111111111E-09
STEP 3: Convert Result to Output's Unit
1.11111111111111E-09 Square Meter --> No Conversion Required
FINAL ANSWER
1.11111111111111E-09 Square Meter <-- Cross Sectional Area for Quantum
(Calculation completed in 00.016 seconds)

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Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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National Institute of Technology (NIT), Meghalaya
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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 in terms of Molecular Dynamics) 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 in terms of Ideal Gas/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 in terms of Molecular Dynamics/pi) Go
Number of Collisions per Second in Equal Size Particles
Number of Collisions per Second = ((8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Viscosity of Fluid in Quantum)) Go
Concentration of Equal Size Particle in Solution using Collision Rate
Concentration of Equal Size Particle in Solution = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Temperature in terms of Molecular Dynamics) 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 for Quantum) Go
Cross Sectional Area using Rate of Molecular Collisions
Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules) 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 for Quantum 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 in terms of Molecular Dynamics)/[hP] Go

Cross Sectional Area using Rate of Molecular Collisions Formula

Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules)
A = Z/(vbeam*nB*nA)

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 Cross Sectional Area using Rate of Molecular Collisions?

Cross Sectional Area using Rate of Molecular Collisions calculator uses Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules) to calculate the Cross Sectional Area for Quantum, The Cross Sectional Area using Rate of Molecular Collisions formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object which is calculated using rate of molecular collision. Cross Sectional Area for Quantum is denoted by A symbol.

How to calculate Cross Sectional Area using Rate of Molecular Collisions using this online calculator? To use this online calculator for Cross Sectional Area using Rate of Molecular Collisions, enter Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Number Density for A Molecules (nA) and hit the calculate button. Here is how the Cross Sectional Area using Rate of Molecular Collisions calculation can be explained with given input values -> 1.1E-9 = 7/(25*14000*18000).

FAQ

What is Cross Sectional Area using Rate of Molecular Collisions?
The Cross Sectional Area using Rate of Molecular Collisions formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object which is calculated using rate of molecular collision and is represented as A = Z/(vbeam*nB*nA) or Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules). Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture, Velocity of Beam Molecules is the speed of beam molecules in a given direction, Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules & Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).
How to calculate Cross Sectional Area using Rate of Molecular Collisions?
The Cross Sectional Area using Rate of Molecular Collisions formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object which is calculated using rate of molecular collision is calculated using Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules). To calculate Cross Sectional Area using Rate of Molecular Collisions, you need Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Number Density for A Molecules (nA). With our tool, you need to enter the respective value for Collision Frequency, Velocity of Beam Molecules, Number Density for B Molecules & Number Density for A Molecules 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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