Cross Sectional Area using Rate of Molecular Collisions Calculator

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✖Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.ⓘ Collision Frequency [Z]			+10% -10%
✖Velocity of Beam Molecules is the speed of beam molecules in a given direction.ⓘ Velocity of Beam Molecules [v_beam]			+10% -10%
✖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 B Molecules [n_B]			+10% -10%
✖Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).ⓘ Number Density for A Molecules [n_A]			+10% -10%

✖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.ⓘ Cross Sectional Area using Rate of Molecular Collisions [A]

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Formula

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Cross Sectional Area using Rate of Molecular Collisions

Formula

`"A" = "Z"/("v"_{"beam"}*"n"_{"B"}*"n"_{"A"})`

Example

`"1.1E^-9m²"="7m³/s"/("25m/s"*"14mmol/cm³"*"18mmol/cm³")`

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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/(v_beam*n_B*n_A)
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 Cubic Meter 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 Cubic Meter) - 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 Cubic Meter) - 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 Cubic Meter per Second --> 7 Cubic Meter 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 Cubic Centimeter --> 14000 Mole per Cubic Meter (Check conversion here)
Number Density for A Molecules: 18 Millimole per Cubic Centimeter --> 18000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = Z/(v_beam*n_B*n_A) --> 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 ≈ 1.1E-9 Square Meter <-- Cross Sectional Area for Quantum

(Calculation completed in 00.020 seconds)

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< 19 Molecular Reaction Dynamics Calculators

Collision Cross Section in Ideal Gas

Go 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)

Collision Frequency in Ideal Gas

Go 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))

Reduced Mass of Reactants using Collision Frequency

Go 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)

Number of Collisions per Second in Equal Size Particles

Go 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))

Concentration of Equal Size Particle in Solution using Collision Rate

Go 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)

Temperature of Molecular Particle using Collision Rate

Go Temperature in terms of Molecular Dynamics = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Concentration of Equal Size Particle in Solution)

Viscosity of Solution using Collision Rate

Go Viscosity of Fluid in Quantum = (8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Number of Collisions per Second)

Number Density for A Molecules using Collision Rate Constant

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

Cross Sectional Area using Rate of Molecular Collisions

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

Number of Bimolecular Collision per Unit Time per Unit Volume

Go Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area for Quantum

Reduced Mass of Reactants A and B

Go Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B)

Miss Distance between Particles in Collision

Go Miss Distance = sqrt(((Interparticle Distance Vector^2)*Centrifugal Energy)/Total Energy Before Collision)

Interparticle Distance Vector in Molecular Reaction Dynamics

Go Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy)

Centrifugal Energy in Collision

Go Centrifugal Energy = Total Energy Before Collision*(Miss Distance^2)/(Interparticle Distance Vector^2)

Total Energy before Collision

Go Total Energy Before Collision = Centrifugal Energy*(Interparticle Distance Vector^2)/(Miss Distance^2)

Vibrational Frequency given Boltzmann's Constant

Go Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]

Collisional Cross Section

Go Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2)

Largest Charge Seperation in Collision

Go Largest Charge Seperation = sqrt(Reaction Cross Section/pi)

Reaction Cross Section in Collision

Go Reaction Cross Section = pi*(Largest Charge Seperation^2)

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/(v_beam*n_B*n_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 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 (v_beam), Number Density for B Molecules (n_B) & Number Density for A Molecules (n_A) 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/(v_beam*n_B*n_A) 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 (v_beam), Number Density for B Molecules (n_B) & Number Density for A Molecules (n_A). 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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