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Reduced Mass of Reactants using Collision Frequency Formula

GoReduced Mass of Reactants A and B Formula

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Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics. Check FAQs

μ AB = ({(n A \cdot n B \cdot \frac{σ AB}{Z})}^{2}) \cdot (8 \cdot [BoltZ] \cdot \frac{T}{π})

μ_AB - Reduced Mass of Reactants A and B?n_A - Number Density for A Molecules?n_B - Number Density for B Molecules?σ_AB - Collisional Cross Section?Z - Collision Frequency?T - Temperature in terms of Molecular Dynamics?[BoltZ] - Boltzmann constant?π - Archimedes' constant?

Reduced Mass of Reactants using Collision Frequency Example

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Here is how the Reduced Mass of Reactants using Collision Frequency equation looks like with Values.

Here is how the Reduced Mass of Reactants using Collision Frequency equation looks like with Units.

Here is how the Reduced Mass of Reactants using Collision Frequency equation looks like.

0.0001 = ({(18 \cdot 14 \cdot \frac{5.66}{7})}^{2}) \cdot (8 \cdot 1.4E-23 \cdot \frac{85}{3.1416})

0.0001kg = ({(18mmol/cm³ \cdot 14mmol/cm³ \cdot \frac{5.66m²}{7m³/s})}^{2}) \cdot (8 \cdot 1.4E-23J/K \cdot \frac{85K}{3.1416})

0.0001 = ({(18 \cdot 14 \cdot \frac{5.66}{7})}^{2}) \cdot (8 \cdot 1.4E-23 \cdot \frac{85}{3.1416})

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Reduced Mass of Reactants using Collision Frequency Solution

Follow our step by step solution on how to calculate Reduced Mass of Reactants using Collision Frequency?

FIRST Step Consider the formula

μ AB = ({(n A \cdot n B \cdot \frac{σ AB}{Z})}^{2}) \cdot (8 \cdot [BoltZ] \cdot \frac{T}{π})

Next Step Substitute values of Variables

∴

μ AB = ({(18mmol/cm³ \cdot 14mmol/cm³ \cdot \frac{5.66m²}{7m³/s})}^{2}) \cdot (8 \cdot [BoltZ] \cdot \frac{85K}{π})

Next Step Substitute values of Constants

∴

μ AB = ({(18mmol/cm³ \cdot 14mmol/cm³ \cdot \frac{5.66m²}{7m³/s})}^{2}) \cdot (8 \cdot 1.4E-23J/K \cdot \frac{85K}{3.1416})

Next Step Convert Units

∴

μ AB = ({(18000mol/m³ \cdot 14000mol/m³ \cdot \frac{5.66m²}{7m³/s})}^{2}) \cdot (8 \cdot 1.4E-23J/K \cdot \frac{85K}{3.1416})

Next Step Prepare to Evaluate

∴

μ AB = ({(18000 \cdot 14000 \cdot \frac{5.66}{7})}^{2}) \cdot (8 \cdot 1.4E-23 \cdot \frac{85}{3.1416})

Next Step Evaluate

∴

μ AB = 0.000124073786307928kg

LAST Step Rounding Answer

∴

μ AB = 0.0001kg

Reduced Mass of Reactants using Collision Frequency Formula Elements

Variables

Constants

Reduced Mass of Reactants A and B

Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics.

Symbol: μ_AB

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass of Reactants A and B

Number Density for A Molecules

Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).

Symbol: n_A

Measurement: Molar ConcentrationUnit: mmol/cm³

Note: Value should be greater than 0.

Formulas to find Number Density for A Molecules

Number Density for B Molecules

Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules.

Symbol: n_B

Measurement: Molar ConcentrationUnit: mmol/cm³

Note: Value should be greater than 0.

Formulas to find Number Density for B Molecules

Collisional Cross Section

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.

Symbol: σ_AB

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Collisional Cross Section

Collision Frequency

Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.

Symbol: Z

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Collision Frequency

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Reduced Mass of Reactants A and B

Go Reduced Mass of Reactants A and B

μ AB = \frac{m B \cdot m B}{m A + m B}

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 Reduced Mass of Reactants using Collision Frequency?

Reduced Mass of Reactants using Collision Frequency evaluator uses 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) to evaluate the Reduced Mass of Reactants A and B, The Reduced Mass of Reactants using Collision Frequency formula is defined as effective inertial mass appearing during collision of two reactant which calculated using collision frequency. Reduced Mass of Reactants A and B is denoted by μ_AB symbol.

How to evaluate Reduced Mass of Reactants using Collision Frequency using this online evaluator? To use this online evaluator for Reduced Mass of Reactants using Collision Frequency, enter Number Density for A Molecules (n_A), Number Density for B Molecules (n_B), Collisional Cross Section (σ_AB), Collision Frequency (Z) & Temperature in terms of Molecular Dynamics (T) and hit the calculate button.

FAQs on Reduced Mass of Reactants using Collision Frequency

What is the formula to find Reduced Mass of Reactants using Collision Frequency?

The formula of Reduced Mass of Reactants using Collision Frequency is expressed as 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). Here is an example- 0.000124 = ((18000*14000*5.66/7)^2)*(8*[BoltZ]*85/pi).

How to calculate Reduced Mass of Reactants using Collision Frequency?

With Number Density for A Molecules (n_A), Number Density for B Molecules (n_B), Collisional Cross Section (σ_AB), Collision Frequency (Z) & Temperature in terms of Molecular Dynamics (T) we can find Reduced Mass of Reactants using Collision Frequency using the formula - 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). This formula also uses Boltzmann constant, Archimedes' constant .

What are the other ways to Calculate Reduced Mass of Reactants A and B?

Here are the different ways to Calculate 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)

Can the Reduced Mass of Reactants using Collision Frequency be negative?

No, the Reduced Mass of Reactants using Collision Frequency, measured in Weight cannot be negative.

Which unit is used to measure Reduced Mass of Reactants using Collision Frequency?

Reduced Mass of Reactants using Collision Frequency is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Reduced Mass of Reactants using Collision Frequency can be measured.

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Reduced Mass of Reactants using Collision Frequency Formula

​GoReduced Mass of Reactants A and B Formula

Reduced Mass of Reactants using Collision Frequency Example

Reduced Mass of Reactants using Collision Frequency Solution

Reduced Mass of Reactants using Collision Frequency Formula Elements

Other Formulas to find Reduced Mass of Reactants A and B

Other formulas in Molecular Reaction Dynamics category

How to Evaluate Reduced Mass of Reactants using Collision Frequency?

FAQs on Reduced Mass of Reactants using Collision Frequency

Variable Name

GoReduced Mass of Reactants A and B Formula