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Number of Collision per Unit Volume per Unit Time between A and B Formula

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Number of Collision between A and B per Unit Volume per Unit Time is the average rate at which two reactants under effective collision for a given system. Check FAQs

Z NAB = (π \cdot ({(σ AB)}^{2}) \cdot Z AA \cdot (\frac{{(\frac{8 \cdot [BoltZ] \cdot T Kinetics}{π \cdot μ})}^{1}}{2}))

Z_NAB - Number of Collision between A and B?σ_AB - Closeness of Approach for Collision?Z_AA - Molecular Collision per Unit Volume per Unit Time?T_Kinetics - Temperature_Kinetics?μ - Reduced Mass?[BoltZ] - Boltzmann constant?π - Archimedes' constant?

Number of Collision per Unit Volume per Unit Time between A and B Example

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Here is how the Number of Collision per Unit Volume per Unit Time between A and B equation looks like with Values.

Here is how the Number of Collision per Unit Volume per Unit Time between A and B equation looks like with Units.

Here is how the Number of Collision per Unit Volume per Unit Time between A and B equation looks like.

2.8E-20 = (3.1416 \cdot ({(2)}^{2}) \cdot 12 \cdot (\frac{{(\frac{8 \cdot 1.4E-23 \cdot 85}{3.1416 \cdot 8})}^{1}}{2}))

2.8E-201/(m³*s) = (3.1416 \cdot ({(2m)}^{2}) \cdot 121/(m³*s) \cdot (\frac{{(\frac{8 \cdot 1.4E-23J/K \cdot 85K}{3.1416 \cdot 8kg})}^{1}}{2}))

2.8E-20 = (3.1416 \cdot ({(2)}^{2}) \cdot 12 \cdot (\frac{{(\frac{8 \cdot 1.4E-23 \cdot 85}{3.1416 \cdot 8})}^{1}}{2}))

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Number of Collision per Unit Volume per Unit Time between A and B Solution

Follow our step by step solution on how to calculate Number of Collision per Unit Volume per Unit Time between A and B?

FIRST Step Consider the formula

Z NAB = (π \cdot ({(σ AB)}^{2}) \cdot Z AA \cdot (\frac{{(\frac{8 \cdot [BoltZ] \cdot T Kinetics}{π \cdot μ})}^{1}}{2}))

Next Step Substitute values of Variables

∴

Z NAB = (π \cdot ({(2m)}^{2}) \cdot 121/(m³*s) \cdot (\frac{{(\frac{8 \cdot [BoltZ] \cdot 85K}{π \cdot 8kg})}^{1}}{2}))

Next Step Substitute values of Constants

∴

Z NAB = (3.1416 \cdot ({(2m)}^{2}) \cdot 121/(m³*s) \cdot (\frac{{(\frac{8 \cdot 1.4E-23J/K \cdot 85K}{3.1416 \cdot 8kg})}^{1}}{2}))

Next Step Prepare to Evaluate

∴

Z NAB = (3.1416 \cdot ({(2)}^{2}) \cdot 12 \cdot (\frac{{(\frac{8 \cdot 1.4E-23 \cdot 85}{3.1416 \cdot 8})}^{1}}{2}))

Next Step Evaluate

∴

Z NAB = 2.8165229808E-201/(m³*s)

LAST Step Rounding Answer

∴

Z NAB = 2.8E-201/(m³*s)

Number of Collision per Unit Volume per Unit Time between A and B Formula Elements

Variables

Constants

Number of Collision between A and B

Number of Collision between A and B per Unit Volume per Unit Time is the average rate at which two reactants under effective collision for a given system.

Symbol: Z_NAB

Measurement: Collision FrequencyUnit: 1/(m³*s)

Note: Value can be positive or negative.

Formulas to find Number of Collision between A and B

Closeness of Approach for Collision

Closeness of Approach for Collision is equal to the sum of radii of the molecule of A and B.

Symbol: σ_AB

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Closeness of Approach for Collision

Molecular Collision per Unit Volume per Unit Time

The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system.

Symbol: Z_AA

Measurement: Collision FrequencyUnit: 1/(m³*s)

Note: Value can be positive or negative.

Formulas to find Molecular Collision per Unit Volume per Unit Time

Temperature_Kinetics

Temperature_Kinetics is the degree or intensity of heat present in a substance or object.

Symbol: T_Kinetics

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature_Kinetics

Reduced Mass

The Reduced Mass is the "effective" inertial mass appearing in the two-body problem. It is a quantity which allows the two-body problem to be solved as if it were a one-body problem.

Symbol: μ

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Reduced Mass

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

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[R] CP = \frac{k 1 \cdot [A]}{k 2 \cdot (1 - α) \cdot [A] + (k w + k g)}

Go Concentration of Radical formed in Chain Reaction

[R] CR = \frac{k 1 \cdot [A]}{k 2 \cdot (1 - α) \cdot [A] + k 3}

Go Concentration of Radical in Non-Stationary Chain Reactions

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[R] SCR = \frac{k 1 \cdot [A]}{k w + k g}

How to Evaluate Number of Collision per Unit Volume per Unit Time between A and B?

Number of Collision per Unit Volume per Unit Time between A and B evaluator uses Number of Collision between A and B = (pi*((Closeness of Approach for Collision)^2)*Molecular Collision per Unit Volume per Unit Time*(((8*[BoltZ]*Temperature_Kinetics)/(pi*Reduced Mass))^1/2)) to evaluate the Number of Collision between A and B, Number of Collision per Unit Volume per Unit Time between A and B 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. Number of Collision between A and B is denoted by Z_NAB symbol.

How to evaluate Number of Collision per Unit Volume per Unit Time between A and B using this online evaluator? To use this online evaluator for Number of Collision per Unit Volume per Unit Time between A and B, enter Closeness of Approach for Collision (σ_AB), Molecular Collision per Unit Volume per Unit Time (Z_AA), Temperature_Kinetics (T_Kinetics) & Reduced Mass (μ) and hit the calculate button.

FAQs on Number of Collision per Unit Volume per Unit Time between A and B

What is the formula to find Number of Collision per Unit Volume per Unit Time between A and B?

The formula of Number of Collision per Unit Volume per Unit Time between A and B is expressed as Number of Collision between A and B = (pi*((Closeness of Approach for Collision)^2)*Molecular Collision per Unit Volume per Unit Time*(((8*[BoltZ]*Temperature_Kinetics)/(pi*Reduced Mass))^1/2)). Here is an example- 2.8E-20 = (pi*((2)^2)*12*(((8*[BoltZ]*85)/(pi*8))^1/2)).

How to calculate Number of Collision per Unit Volume per Unit Time between A and B?

With Closeness of Approach for Collision (σ_AB), Molecular Collision per Unit Volume per Unit Time (Z_AA), Temperature_Kinetics (T_Kinetics) & Reduced Mass (μ) we can find Number of Collision per Unit Volume per Unit Time between A and B using the formula - Number of Collision between A and B = (pi*((Closeness of Approach for Collision)^2)*Molecular Collision per Unit Volume per Unit Time*(((8*[BoltZ]*Temperature_Kinetics)/(pi*Reduced Mass))^1/2)). This formula also uses Boltzmann constant, Archimedes' constant .

Can the Number of Collision per Unit Volume per Unit Time between A and B be negative?

Yes, the Number of Collision per Unit Volume per Unit Time between A and B, measured in Collision Frequency can be negative.

Which unit is used to measure Number of Collision per Unit Volume per Unit Time between A and B?

Number of Collision per Unit Volume per Unit Time between A and B is usually measured using the Collisions per Cubic Meter per Second[1/(m³*s)] for Collision Frequency. Collisions per Cubic Meter per Minute[1/(m³*s)] are the few other units in which Number of Collision per Unit Volume per Unit Time between A and B can be measured.

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Number of Collision per Unit Volume per Unit Time between A and B Formula

Number of Collision per Unit Volume per Unit Time between A and B Example

Number of Collision per Unit Volume per Unit Time between A and B Solution

Number of Collision per Unit Volume per Unit Time between A and B Formula Elements

Other formulas in Collision Theory category

How to Evaluate Number of Collision per Unit Volume per Unit Time between A and B?

FAQs on Number of Collision per Unit Volume per Unit Time between A and B

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