Temperature of Molecular Particle using Collision Rate Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
T = (3*μ*v)/(8* [BoltZ]*n)
This formula uses 1 Constants, 4 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Variables Used
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.
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.
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.
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
Concentration of Equal Size Particle in Solution: 9 Millimole per Cubic Centimeter --> 9000 Mole per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (3*μ*v)/(8* [BoltZ]*n) --> (3*6.5*20)/(8* [BoltZ]*9000)
Evaluating ... ...
T = 3.92327706016493E+20
STEP 3: Convert Result to Output's Unit
3.92327706016493E+20 Kelvin --> No Conversion Required
FINAL ANSWER
3.92327706016493E+20 3.9E+20 Kelvin <-- Temperature in terms of Molecular Dynamics
(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)

Temperature of Molecular Particle using Collision Rate Formula

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)
T = (3*μ*v)/(8* [BoltZ]*n)

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 Temperature of Molecular Particle using Collision Rate?

Temperature of Molecular Particle using Collision Rate calculator uses 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) to calculate the Temperature in terms of Molecular Dynamics, The Temperature of Molecular Particle using Collision Rate formula is defined as measures the average kinetic energy of the particles in a substance during a collision. Temperature in terms of Molecular Dynamics is denoted by T symbol.

How to calculate Temperature of Molecular Particle using Collision Rate using this online calculator? To use this online calculator for Temperature of Molecular Particle using Collision Rate, enter Viscosity of Fluid in Quantum (μ), Number of Collisions per Second (v) & Concentration of Equal Size Particle in Solution (n) and hit the calculate button. Here is how the Temperature of Molecular Particle using Collision Rate calculation can be explained with given input values -> 3.9E+20 = (3*6.5*20)/(8* [BoltZ]*9000).

FAQ

What is Temperature of Molecular Particle using Collision Rate?
The Temperature of Molecular Particle using Collision Rate formula is defined as measures the average kinetic energy of the particles in a substance during a collision and is represented as T = (3*μ*v)/(8* [BoltZ]*n) or 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 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 & Concentration of Equal Size Particle in Solution is the molar concentration of equal size particle at any stage during the progress of the reaction.
How to calculate Temperature of Molecular Particle using Collision Rate?
The Temperature of Molecular Particle using Collision Rate formula is defined as measures the average kinetic energy of the particles in a substance during a collision is calculated using 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). To calculate Temperature of Molecular Particle using Collision Rate, you need Viscosity of Fluid in Quantum (μ), Number of Collisions per Second (v) & Concentration of Equal Size Particle in Solution (n). With our tool, you need to enter the respective value for Viscosity of Fluid in Quantum, Number of Collisions per Second & Concentration of Equal Size Particle in Solution 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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