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)))
A1/A2 = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1)))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, 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: 4 Meter --> 4 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
A1/A2 = (((D1)^2)*(sqrt(μ 2)))/(((D2)^2)*(sqrt(μ 1))) --> (((4)^2)*(sqrt(0.004)))/(((3)^2)*(sqrt(0.006)))
Evaluating ... ...
A1/A2 = 1.45154947720485
STEP 3: Convert Result to Output's Unit
1.45154947720485 --> No Conversion Required
FINAL ANSWER
1.45154947720485 <-- Ratio of Pre Exponential Factor
(Calculation completed in 00.031 seconds)

Credits

Created by Pracheta Trivedi
National Institute Of Technology Warangal (NITW), Warangal
Pracheta Trivedi has created this Calculator and 25+ more calculators!
Verified by Torsha_Paul
University of Calcutta (CU), Kolkata
Torsha_Paul has verified this Calculator and 10+ more calculators!

4 Collision Theory Calculators

Number of Collision Per Unit Volume Per Unit Time Between A and B
Number of Collision per Unit Volume per Unit Time = (pi*((Closeness of Approach for Collision)^2)*Number of A Molecules Per Unit Volume of Vessel*Number of B Molecules Per Unit Volume of Vessel*(((8*[BoltZ]*Temperature)/(pi*Reduced Mass))^1/2)) Go
Ratio of Pre Exponential Factor
Ratio of Pre Exponential Factor = (((Collision Diameter 1)^2)*(sqrt(Reduced Mass 2)))/(((Collision Diameter 2)^2)*(sqrt(Reduced Mass 1))) Go
Number of Collision Per Unit Volume Per Unit Time Between Same Molecule
Number of Collision Per Unit Volume Per Unit Time = (1*pi*((Diameter of Molecule A)^2) *Average Speed of Gas*((Number of A Molecules Per Unit Volume of Vessel)^2))/1.414 Go
Ratio of Two Maximum Rate of Biomolecular Reaction
Ratio of Two Maximum Rate of Biomolecular Reaction = (Temperature 1/Temperature 2)^1/2 Go

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)))
A1/A2 = (((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 A1/A2 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 -> 1.451549 = (((4)^2)*(sqrt(4)))/(((3)^2)*(sqrt(6))).

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 A1/A2 = (((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.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!