Collision Frequency in Ideal Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Z = nA*nB*σAB*sqrt((8*[BoltZ]*T/pi*μAB))
This formula uses 2 Constants, 1 Functions, 6 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23 Joule/Kelvin
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
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.
Collisional Cross Section - (Measured in Square Meter) - Collisional Cross Section is defined as the area around a particle in which the center of another particle must be in order for a collision to occur.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
Reduced Mass of Reactants A and B - (Measured in Kilogram) - Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics.
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)
Collisional Cross Section: 10 Square Meter --> 10 Square Meter No Conversion Required
Time: 2 Year --> 63113904 Second (Check conversion here)
Reduced Mass of Reactants A and B: 10 Kilogram --> 10 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z = nA*nBAB*sqrt((8*[BoltZ]*T/pi*μAB)) --> 10000*10000*10*sqrt((8*[BoltZ]*63113904/pi*10))
Evaluating ... ...
Z = 148.961537237731
STEP 3: Convert Result to Output's Unit
148.961537237731 Meter³ per Second --> No Conversion Required
FINAL ANSWER
148.961537237731 Meter³ per Second <-- Collision Frequency
(Calculation completed in 00.031 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

Collision Frequency in Ideal Gas Formula

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))
Z = nA*nB*σAB*sqrt((8*[BoltZ]*T/pi*μAB))

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 Collision Frequency in Ideal Gas?

Collision Frequency in Ideal Gas calculator uses 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)) to calculate the Collision Frequency, The Collision Frequency in Ideal Gas formula is defined as the average rate in which two reactants collide for a given system and is used to express the average number of collisions per unit of time in a defined system. Collision Frequency is denoted by Z symbol.

How to calculate Collision Frequency in Ideal Gas using this online calculator? To use this online calculator for Collision Frequency in Ideal Gas, enter Number Density for A Molecules (nA), Number Density for B Molecules (nB), Collisional Cross Section AB), Time (T) & Reduced Mass of Reactants A and B AB) and hit the calculate button. Here is how the Collision Frequency in Ideal Gas calculation can be explained with given input values -> 148.9615 = 10000*10000*10*sqrt((8*[BoltZ]*63113904/pi*10)).

FAQ

What is Collision Frequency in Ideal Gas?
The Collision Frequency in Ideal Gas formula is defined as the average rate in which two reactants collide for a given system and is used to express the average number of collisions per unit of time in a defined system and is represented as Z = nA*nB*σAB*sqrt((8*[BoltZ]*T/pi*μAB)) or 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)). 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, Collisional Cross Section is defined as the area around a particle in which the center of another particle must be in order for a collision to occur, Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future & Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics.
How to calculate Collision Frequency in Ideal Gas?
The Collision Frequency in Ideal Gas formula is defined as the average rate in which two reactants collide for a given system and is used to express the average number of collisions per unit of time in a defined system is calculated using 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)). To calculate Collision Frequency in Ideal Gas, you need Number Density for A Molecules (nA), Number Density for B Molecules (nB), Collisional Cross Section AB), Time (T) & Reduced Mass of Reactants A and B AB). With our tool, you need to enter the respective value for Number Density for A Molecules, Number Density for B Molecules, Collisional Cross Section, Time & Reduced Mass of Reactants A and B 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, Collisional Cross Section, Time & Reduced Mass of Reactants A and B. 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*Velocity of Beam Molecules*Cross Sectional Area
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