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Temperature of Molecular Particle using Collision Rate Formula

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Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision. Check FAQs

T = \frac{3 \cdot μ \cdot v}{8 \cdot [BoltZ] \cdot n}

T - Temperature in terms of Molecular Dynamics?μ - Viscosity of Fluid in Quantum?v - Number of Collisions per Second?n - Concentration of Equal Size Particle in Solution?[BoltZ] - Boltzmann constant?

Temperature of Molecular Particle using Collision Rate Example

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Here is how the Temperature of Molecular Particle using Collision Rate equation looks like with Values.

Here is how the Temperature of Molecular Particle using Collision Rate equation looks like with Units.

Here is how the Temperature of Molecular Particle using Collision Rate equation looks like.

3.9E+20 = \frac{3 \cdot 6.5 \cdot 20}{8 \cdot 1.4E-23 \cdot 9}

3.9E+20K = \frac{3 \cdot 6.5N*s/m² \cdot 201/s}{8 \cdot 1.4E-23J/K \cdot 9mmol/cm³}

3.9E+20 = \frac{3 \cdot 6.5 \cdot 20}{8 \cdot 1.4E-23 \cdot 9}

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Temperature of Molecular Particle using Collision Rate Solution

Follow our step by step solution on how to calculate Temperature of Molecular Particle using Collision Rate?

FIRST Step Consider the formula

T = \frac{3 \cdot μ \cdot v}{8 \cdot [BoltZ] \cdot n}

Next Step Substitute values of Variables

∴

T = \frac{3 \cdot 6.5N*s/m² \cdot 201/s}{8 \cdot [BoltZ] \cdot 9mmol/cm³}

Next Step Substitute values of Constants

∴

T = \frac{3 \cdot 6.5N*s/m² \cdot 201/s}{8 \cdot 1.4E-23J/K \cdot 9mmol/cm³}

Next Step Convert Units

∴

T = \frac{3 \cdot 6.5Pa*s \cdot 201/s}{8 \cdot 1.4E-23J/K \cdot 9000mol/m³}

Next Step Prepare to Evaluate

∴

T = \frac{3 \cdot 6.5 \cdot 20}{8 \cdot 1.4E-23 \cdot 9000}

Next Step Evaluate

∴

T = 3.92327706016493E+20K

LAST Step Rounding Answer

∴

T = 3.9E+20K

Temperature of Molecular Particle using Collision Rate Formula Elements

Variables

Constants

Temperature in terms of Molecular Dynamics

Temperature in terms of Molecular Dynamics is the degree or intensity of heat present in a molecules during collision.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature in terms of Molecular Dynamics

Viscosity of Fluid in Quantum

Viscosity of Fluid in Quantum is a measure of its resistance to deformation at a given rate in quantum mechanics.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value can be positive or negative.

Formulas to find Viscosity of Fluid in Quantum

Number of Collisions per Second

Number of Collisions per Second is rate of collisions between two atomic or molecular species in a given volume, per unit time.

Symbol: v

Measurement: Time InverseUnit: 1/s

Note: Value should be greater than 0.

Formulas to find Number of Collisions per Second

Concentration of Equal Size Particle in Solution

Concentration of Equal Size Particle in Solution is the molar concentration of equal size particle at any stage during the progress of the reaction.

Symbol: n

Measurement: Molar ConcentrationUnit: mmol/cm³

Note: Value should be greater than 0.

Formulas to find Concentration of Equal Size Particle in Solution

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other formulas in Molecular Reaction Dynamics category

Go Number of Bimolecular Collision per Unit Time per Unit Volume

Z = n A \cdot n B \cdot v beam \cdot A

Go Number Density for A Molecules using Collision Rate Constant

n A = \frac{Z}{v beam \cdot n B \cdot A}

Go Cross Sectional Area using Rate of Molecular Collisions

A = \frac{Z}{v beam \cdot n B \cdot n A}

Go Vibrational Frequency given Boltzmann's Constant

v vib = \frac{[BoltZ] \cdot T}{[hP]}

How to Evaluate Temperature of Molecular Particle using Collision Rate?

Temperature of Molecular Particle using Collision Rate evaluator 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 evaluate 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 evaluate Temperature of Molecular Particle using Collision Rate using this online evaluator? To use this online evaluator 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.

FAQs on Temperature of Molecular Particle using Collision Rate

What is the formula to find Temperature of Molecular Particle using Collision Rate?

The formula of Temperature of Molecular Particle using Collision Rate is expressed as 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). Here is an example- 3.9E+20 = (3*6.5*20)/(8*[BoltZ]*9000).

How to calculate Temperature of Molecular Particle using Collision Rate?

With Viscosity of Fluid in Quantum (μ), Number of Collisions per Second (v) & Concentration of Equal Size Particle in Solution (n) we can find Temperature of Molecular Particle using Collision Rate using the 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). This formula also uses Boltzmann constant .

Can the Temperature of Molecular Particle using Collision Rate be negative?

Yes, the Temperature of Molecular Particle using Collision Rate, measured in Temperature can be negative.

Which unit is used to measure Temperature of Molecular Particle using Collision Rate?

Temperature of Molecular Particle using Collision Rate is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature of Molecular Particle using Collision Rate can be measured.

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