Ratio of Pre-Exponential Factor Calculator

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✖Collision Diameter 1 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 1.ⓘ Collision Diameter 1 [D1]			+10% -10%
✖Reduced Mass 2 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 2.ⓘ Reduced Mass 2 [μ 2]			+10% -10%
✖Collision Diameter 2 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 2.ⓘ Collision Diameter 2 [D2]			+10% -10%
✖Reduced Mass 1 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 1.ⓘ Reduced Mass 1 [μ 1]			+10% -10%

✖Ratio of pre exponential factor is the ratio of the collision diameter and reduced mass of one reaction with collision diameter and reduced mass of the second reaction.ⓘ Ratio of Pre-Exponential Factor [A12_ratio]

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Formula

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Ratio of Pre-Exponential Factor

Formula

`"A12"_{"ratio"} = ((("D1")^2)*(sqrt("μ 2")))/((("D2")^2)*(sqrt("μ 1")))`

Example

`"7.348469"=((("9m")^2)*(sqrt("4g/mol")))/((("3m")^2)*(sqrt("6g/mol")))`

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Ratio of Pre-Exponential Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1)))
A12_ratio = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Ratio of Pre Exponential Factor - Ratio of pre exponential factor is the ratio of the collision diameter and reduced mass of one reaction with collision diameter and reduced mass of the second reaction.
Collision Diameter 1 - (Measured in Meter) - Collision Diameter 1 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 1.
Reduced Mass 2 - (Measured in Kilogram Per Mole) - Reduced Mass 2 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 2.
Collision Diameter 2 - (Measured in Meter) - Collision Diameter 2 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 2.
Reduced Mass 1 - (Measured in Kilogram Per Mole) - Reduced Mass 1 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 1.

STEP 1: Convert Input(s) to Base Unit

Collision Diameter 1: 9 Meter --> 9 Meter No Conversion Required
Reduced Mass 2: 4 Gram Per Mole --> 0.004 Kilogram Per Mole (Check conversion here)
Collision Diameter 2: 3 Meter --> 3 Meter No Conversion Required
Reduced Mass 1: 6 Gram Per Mole --> 0.006 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A12_ratio = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1))) --> (((9)^2)*(sqrt(0.004)))/(((3)^2)*(sqrt(0.006)))

Evaluating ... ...

A12_ratio = 7.34846922834953

STEP 3: Convert Result to Output's Unit

7.34846922834953 --> No Conversion Required

FINAL ANSWER

7.34846922834953 ≈ 7.348469 <-- Ratio of Pre Exponential Factor

(Calculation completed in 00.012 seconds)

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National Institute Of Technology Warangal (NITW), Warangal

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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

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Ratio of Two Maximum Rate of Biomolecular Reaction

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Concentration of Radical formed in Chain Reaction

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

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Ratio of Pre-Exponential Factor Formula

Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1)))
A12_ratio = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1)))

What is Pre Exponential Factor ?

The pre-exponential factor is also known as the frequency factor and represents the frequency of collisions between reactant molecules at a standard concentration. Although often described as temperature-independent, it is actually dependent on temperature because it is related to molecular collision, which is a function of temperature.

How to Calculate Ratio of Pre-Exponential Factor?

Ratio of Pre-Exponential Factor calculator uses Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1))) to calculate the Ratio of Pre Exponential Factor, Ratio of pre-exponential factor formula is the ratio of the collision diameter and reduced mass of one reaction with collision diameter and reduced mass of second reaction. Ratio of Pre Exponential Factor is denoted by A12_ratio symbol.

How to calculate Ratio of Pre-Exponential Factor using this online calculator? To use this online calculator for Ratio of Pre-Exponential Factor, enter Collision Diameter 1 (D1), Reduced Mass 2 (μ 2), Collision Diameter 2 (D2) & Reduced Mass 1 (μ 1) and hit the calculate button. Here is how the Ratio of Pre-Exponential Factor calculation can be explained with given input values -> 7.348469 = (((9)^2)*(sqrt(0.004)))/(((3)^2)*(sqrt(0.006))).

FAQ

What is Ratio of Pre-Exponential Factor?

Ratio of pre-exponential factor formula is the ratio of the collision diameter and reduced mass of one reaction with collision diameter and reduced mass of second reaction and is represented as A12_ratio = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1))) or Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1))). Collision Diameter 1 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 1, Reduced Mass 2 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 2, Collision Diameter 2 is defined as the distance between the centers of two colliding molecules when at their closest point of approach in reaction 2 & Reduced Mass 1 is defined as the mass that is taken after colliding the two molecules which is equal to the quotient of the product of the two masses divided by their sum in reaction 1.

How to calculate Ratio of Pre-Exponential Factor?

Ratio of pre-exponential factor formula is the ratio of the collision diameter and reduced mass of one reaction with collision diameter and reduced mass of second reaction is calculated using Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1))). To calculate Ratio of Pre-Exponential Factor, you need Collision Diameter 1 (D1), Reduced Mass 2 (μ 2), Collision Diameter 2 (D2) & Reduced Mass 1 (μ 1). With our tool, you need to enter the respective value for Collision Diameter 1, Reduced Mass 2, Collision Diameter 2 & Reduced Mass 1 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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