Concentration of Equal Size Particle in Solution using Collision Rate Calculator

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Molecular Reaction Dynamics

Hamiltonian System

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Simple Harmonic Oscillator

Wien's Displacement Law

✖Viscosity of Fluid in Quantum is a measure of its resistance to deformation at a given rate in quantum mechanics.ⓘ Viscosity of Fluid in Quantum [μ]			+10% -10%
✖Number of Collisions per Second is rate of collisions between two atomic or molecular species in a given volume, per unit time.ⓘ Number of Collisions per Second [v]			+10% -10%
✖Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.ⓘ Temperature in terms of Molecular Dynamics [T]			+10% -10%

✖Concentration of Equal Size Particle in Solution is the molar concentration of equal size particle at any stage during the progress of the reaction.ⓘ Concentration of Equal Size Particle in Solution using Collision Rate [n]

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Concentration of Equal Size Particle in Solution using Collision Rate

Formula

`"n" = (3*"μ"*"v")/(8*"[BoltZ]"*"T")`

Example

`"4.2E^19mmol/cm³"=(3*"6.5N*s/m²"*"20/s")/(8*"[BoltZ]"*"85K")`

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Concentration of Equal Size Particle in Solution using Collision Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
n = (3*μ*v)/(8*[BoltZ]*T)
This formula uses 1 Constants, 4 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Concentration of Equal Size Particle in Solution - (Measured in Mole per Cubic Meter) - Concentration of Equal Size Particle in Solution is the molar concentration of equal size particle at any stage during the progress of the reaction.
Viscosity of Fluid in Quantum - (Measured in Pascal Second) - Viscosity of Fluid in Quantum is a measure of its resistance to deformation at a given rate in quantum mechanics.
Number of Collisions per Second - (Measured in 1 Per Second) - Number of Collisions per Second is rate of collisions between two atomic or molecular species in a given volume, per unit time.
Temperature in terms of Molecular Dynamics - (Measured in Kelvin) - Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid in Quantum: 6.5 Newton Second per Square Meter --> 6.5 Pascal Second (Check conversion here)
Number of Collisions per Second: 20 1 Per Second --> 20 1 Per Second No Conversion Required
Temperature in terms of Molecular Dynamics: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (3*μ*v)/(8*[BoltZ]*T) --> (3*6.5*20)/(8*[BoltZ]*85)

Evaluating ... ...

n = 4.15405806370405E+22

STEP 3: Convert Result to Output's Unit

4.15405806370405E+22 Mole per Cubic Meter -->4.15405806370405E+19 Millimole per Cubic Centimeter (Check conversion here)

FINAL ANSWER

4.15405806370405E+19 ≈ 4.2E+19 Millimole per Cubic Centimeter <-- Concentration of Equal Size Particle in Solution

(Calculation completed in 00.004 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))

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)

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)

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)

Concentration of Equal Size Particle in Solution using Collision Rate Formula

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)
n = (3*μ*v)/(8*[BoltZ]*T)

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 Concentration of Equal Size Particle in Solution using Collision Rate?

Concentration of Equal Size Particle in Solution using Collision Rate calculator uses 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) to calculate the Concentration of Equal Size Particle in Solution, The Concentration of Equal Size particle in solution using Collision Rate formula is defined as molecular concentration of equal size of particle during collision. Concentration of Equal Size Particle in Solution is denoted by n symbol.

How to calculate Concentration of Equal Size Particle in Solution using Collision Rate using this online calculator? To use this online calculator for Concentration of Equal Size Particle in Solution using Collision Rate, enter Viscosity of Fluid in Quantum (μ), Number of Collisions per Second (v) & Temperature in terms of Molecular Dynamics (T) and hit the calculate button. Here is how the Concentration of Equal Size Particle in Solution using Collision Rate calculation can be explained with given input values -> 4.2E+16 = (3*6.5*20)/(8*[BoltZ]*85).

FAQ

What is Concentration of Equal Size Particle in Solution using Collision Rate?

The Concentration of Equal Size particle in solution using Collision Rate formula is defined as molecular concentration of equal size of particle during collision and is represented as n = (3*μ*v)/(8*[BoltZ]*T) or 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). Viscosity of Fluid in Quantum is a measure of its resistance to deformation at a given rate in quantum mechanics, Number of Collisions per Second is rate of collisions between two atomic or molecular species in a given volume, per unit time & Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.

How to calculate Concentration of Equal Size Particle in Solution using Collision Rate?

The Concentration of Equal Size particle in solution using Collision Rate formula is defined as molecular concentration of equal size of particle during collision is calculated using 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). To calculate Concentration of Equal Size Particle in Solution using Collision Rate, you need Viscosity of Fluid in Quantum (μ), Number of Collisions per Second (v) & Temperature in terms of Molecular Dynamics (T). With our tool, you need to enter the respective value for Viscosity of Fluid in Quantum, Number of Collisions per Second & Temperature in terms of Molecular Dynamics 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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