Reduced Mass of Reactants A and B Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B)
μAB = (mB*mB)/(mA+mB)
This formula uses 3 Variables
Variables Used
Reduced Mass of Reactants A and B - (Measured in Kilogram) - Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics.
Mass of Reactant B - (Measured in Kilogram) - Mass of Reactant B is the measure of the quantity of matter that a body or an object contains.
Mass of Reactant A - (Measured in Kilogram) - Mass of Reactant A is the measure of the quantity of matter that a body or an object contains.
STEP 1: Convert Input(s) to Base Unit
Mass of Reactant B: 10.99 Kilogram --> 10.99 Kilogram No Conversion Required
Mass of Reactant A: 10.8 Kilogram --> 10.8 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μAB = (mB*mB)/(mA+mB) --> (10.99*10.99)/(10.8+10.99)
Evaluating ... ...
μAB = 5.54291418081689
STEP 3: Convert Result to Output's Unit
5.54291418081689 Kilogram --> No Conversion Required
FINAL ANSWER
5.54291418081689 Kilogram <-- Reduced Mass of Reactants A and B
(Calculation completed in 00.016 seconds)

Credits

Created by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
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National Institute of Technology (NIT), Meghalaya
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10+ Molecular Reaction Dynamics Calculators

Collision Cross Section in Ideal Gas
Collisional Cross Section = (Collision Frequency/Number Density for A Molecules*Number Density for B Molecules)*sqrt(pi*Reduced Mass of Reactants A and B/8*[BoltZ]*Temperature in terms of Molecular Dynamics) Go
Collision Frequency in Ideal Gas
Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Collisional Cross Section*sqrt((8*[BoltZ]*Time in terms of Ideal Gas/pi*Reduced Mass of Reactants A and B)) Go
Reduced Mass of the Reactants using Collision Frequency
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) Go
Number of Collisions per Second in Equal Size Particles
Number of Collisions per Second = ((8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Viscosity of Fluid in Quantum)) Go
Concentration of Equal Size Particle in Solution using Collision Rate
Concentration of Equal Size Particle in Solution = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Temperature in terms of Molecular Dynamics) Go
Number Density for A Molecules using Collision Rate Constant
Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum) Go
Cross Sectional Area using Rate of Molecular Collisions
Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules) Go
Number of Bimolecular Collision per Unit Time per Unit Volume
Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area for Quantum Go
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) Go
Vibrational Frequency in terms of Boltzmann's Constant
Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP] Go

Reduced Mass of Reactants A and B Formula

Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B)
μAB = (mB*mB)/(mA+mB)

What is the First Law of Thermodynamics?

The First Law of Thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic processes, distinguishing three kinds of transfer of energy, as heat, as thermodynamic work, and as energy associated with matter transfer, and relating them to a function of a body's state, called internal energy.

How to Calculate Reduced Mass of Reactants A and B?

Reduced Mass of Reactants A and B calculator uses Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B) to calculate the Reduced Mass of Reactants A and B, The Reduced Mass of Reactants A and B formula is defined as value of a hypothetical mass introduced to simplify the mathematical description of motion in a vibrating or rotating two-body system of A and B. Reduced Mass of Reactants A and B is denoted by μAB symbol.

How to calculate Reduced Mass of Reactants A and B using this online calculator? To use this online calculator for Reduced Mass of Reactants A and B, enter Mass of Reactant B (mB) & Mass of Reactant A (mA) and hit the calculate button. Here is how the Reduced Mass of Reactants A and B calculation can be explained with given input values -> 5.542914 = (10.99*10.99)/(10.8+10.99).

FAQ

What is Reduced Mass of Reactants A and B?
The Reduced Mass of Reactants A and B formula is defined as value of a hypothetical mass introduced to simplify the mathematical description of motion in a vibrating or rotating two-body system of A and B and is represented as μAB = (mB*mB)/(mA+mB) or Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B). Mass of Reactant B is the measure of the quantity of matter that a body or an object contains & Mass of Reactant A is the measure of the quantity of matter that a body or an object contains.
How to calculate Reduced Mass of Reactants A and B?
The Reduced Mass of Reactants A and B formula is defined as value of a hypothetical mass introduced to simplify the mathematical description of motion in a vibrating or rotating two-body system of A and B is calculated using Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B). To calculate Reduced Mass of Reactants A and B, you need Mass of Reactant B (mB) & Mass of Reactant A (mA). With our tool, you need to enter the respective value for Mass of Reactant B & Mass of Reactant A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Reduced Mass of Reactants A and B?
In this formula, Reduced Mass of Reactants A and B uses Mass of Reactant B & Mass of Reactant A. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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