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

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✖Closeness of Approach for Collision is equal to the sum of radii of the molecule of A and B.ⓘ Closeness of Approach for Collision [σ_AB]			+10% -10%
✖The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system.ⓘ Molecular Collision per Unit Volume per Unit Time [Z_AA]			+10% -10%
✖Temperature_Kinetics is the degree or intensity of heat present in a substance or object.ⓘ Temperature_Kinetics [T_Kinetics]			+10% -10%
✖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.ⓘ Reduced Mass [μ]			+10% -10%

✖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.ⓘ Number of Collision per Unit Volume per Unit Time between A and B [Z_NAB]

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

Formula

`"Z"_{"NAB"} = (pi*(("σ"_{"AB"})^2)*"Z"_{"AA"}*(((8*"[BoltZ]"*"T"_{"Kinetics"})/(pi*"μ"))^1/2))`

Example

`"2.8E^-20/(m³*s)"=(pi*(("2m")^2)*"12/(m³*s)"*(((8*"[BoltZ]"*"85K")/(pi*"8kg"))^1/2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
Z_NAB = (pi*((σ_AB)^2)*Z_AA*(((8*[BoltZ]*T_Kinetics)/(pi*μ))^1/2))
This formula uses 2 Constants, 5 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Number of Collision between A and B - (Measured in Collisions per Cubic Meter per Second) - 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.
Closeness of Approach for Collision - (Measured in Meter) - Closeness of Approach for Collision is equal to the sum of radii of the molecule of A and B.
Molecular Collision per Unit Volume per Unit Time - (Measured in Collisions per Cubic Meter per Second) - The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system.
Temperature_Kinetics - (Measured in Kelvin) - Temperature_Kinetics is the degree or intensity of heat present in a substance or object.
Reduced Mass - (Measured in Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Closeness of Approach for Collision: 2 Meter --> 2 Meter No Conversion Required
Molecular Collision per Unit Volume per Unit Time: 12 Collisions per Cubic Meter per Second --> 12 Collisions per Cubic Meter per Second No Conversion Required
Temperature_Kinetics: 85 Kelvin --> 85 Kelvin No Conversion Required
Reduced Mass: 8 Kilogram --> 8 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_NAB = (pi*((σ_AB)^2)*Z_AA*(((8*[BoltZ]*T_Kinetics)/(pi*μ))^1/2)) --> (pi*((2)^2)*12*(((8*[BoltZ]*85)/(pi*8))^1/2))

Evaluating ... ...

Z_NAB = 2.8165229808E-20

STEP 3: Convert Result to Output's Unit

2.8165229808E-20 Collisions per Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

2.8165229808E-20 ≈ 2.8E-20 Collisions per Cubic Meter per Second <-- Number of Collision between A and B

(Calculation completed in 00.004 seconds)

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< 4 Collision Theory Calculators

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

Go 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))

Ratio of Pre-Exponential Factor

Go Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1)))

Number of Collision per Unit Volume per Unit Time between Same Molecule

Go Molecular Collision = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414

Ratio of Two Maximum Rate of Biomolecular Reaction

Go Ratio of Two Maximum Rate of Biomolecular Reaction = (Temperature 1/Temperature 2)^1/2

< 8 Collision Theory and Chain Reactions Calculators

Concentration of Radical in Non-Stationary Chain Reactions

Go Concentration of Radical given nonCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(-Reaction Rate Constant for Propagation Step*(No. of Radicals Formed-1)*Concentration of Reactant A+(Rate Constant at Wall+Rate Constant within Gaseous Phase))

Concentration of Radical formed during Chain Propagation Step given kw and kg

Go Concentration of Radical given CP = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+(Rate Constant at Wall+Rate Constant within Gaseous Phase))

Concentration of Radical formed in Chain Reaction

Go Concentration of Radical given CR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Reaction Rate Constant for Propagation Step*(1-No. of Radicals Formed)*Concentration of Reactant A+Reaction Rate Constant for Termination Step)

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

Go 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))

Ratio of Pre-Exponential Factor

Go Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1)))

Concentration of Radical in Stationary Chain Reactions

Go Concentration of Radical given SCR = (Reaction Rate Constant for Initiation Step*Concentration of Reactant A)/(Rate Constant at Wall+Rate Constant within Gaseous Phase)

Number of Collision per Unit Volume per Unit Time between Same Molecule

Go Molecular Collision = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414

Ratio of Two Maximum Rate of Biomolecular Reaction

Go Ratio of Two Maximum Rate of Biomolecular Reaction = (Temperature 1/Temperature 2)^1/2

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

What is Collision theory of Biomolecular reaction ?

Collision theory of biomolecular raection gives the rate constant for bimolecular gas-phase reactions; it is equal to the rate of successful collisions. The rate of successful collisions is proportional to the fraction of successful collisions multiplied by the overall collision frequency.

How to Calculate 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 calculator 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 calculate 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 calculate Number of Collision per Unit Volume per Unit Time between A and B using this online calculator? To use this online calculator 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. Here is how the Number of Collision per Unit Volume per Unit Time between A and B calculation can be explained with given input values -> 2.8E-20 = (pi*((2)^2)*12*(((8*[BoltZ]*85)/(pi*8))^1/2)).

FAQ

What is 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 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 and is represented as Z_NAB = (pi*((σ_AB)^2)*Z_AA*(((8*[BoltZ]*T_Kinetics)/(pi*μ))^1/2)) or 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)). Closeness of Approach for Collision is equal to the sum of radii of the molecule of A and B, The Molecular Collision per Unit Volume per Unit Time is the average rate at which two reactants collide for a given system, Temperature_Kinetics is the degree or intensity of heat present in a substance or object & 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.

How to calculate 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 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 is calculated using 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 calculate Number of Collision per Unit Volume per Unit Time between A and B, you need Closeness of Approach for Collision (σ_AB), Molecular Collision per Unit Volume per Unit Time (Z_AA), Temperature_Kinetics (T_Kinetics) & Reduced Mass (μ). With our tool, you need to enter the respective value for Closeness of Approach for Collision, Molecular Collision per Unit Volume per Unit Time, Temperature_Kinetics & Reduced Mass 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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