Reduced Mass of Reactants A and B Calculator

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✖Mass of Reactant B is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Reactant B [m_B]			+10% -10%
✖Mass of Reactant A is the measure of the quantity of matter that a body or an object contains.ⓘ Mass of Reactant A [m_A]			+10% -10%

✖Reduced Mass of Reactants A and B is inertial mass appearing in the two-body problem of Newtonian mechanics.ⓘ Reduced Mass of Reactants A and B [μ_AB]

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Reduced Mass of Reactants A and B

Formula

`"μ"_{"AB"} = ("m"_{"B"}*"m"_{"B"})/("m"_{"A"}+"m"_{"B"})`

Example

`"5.542914kg"=("10.99kg"*"10.99kg")/("10.80kg"+"10.99kg")`

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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)
μ_AB = (m_B*m_B)/(m_A+m_B)
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

μ_AB = (m_B*m_B)/(m_A+m_B) --> (10.99*10.99)/(10.8+10.99)

Evaluating ... ...

μ_AB = 5.54291418081689

STEP 3: Convert Result to Output's Unit

5.54291418081689 Kilogram --> No Conversion Required

FINAL ANSWER

5.54291418081689 ≈ 5.542914 Kilogram <-- Reduced Mass of Reactants A and B

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Quantum » Molecular Reaction Dynamics » Reduced Mass of Reactants A and B

Credits

Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 19 Molecular Reaction Dynamics Calculators

Collision Cross Section in Ideal Gas

Go 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)

Collision Frequency in Ideal Gas

Go 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))

Reduced Mass of Reactants using Collision Frequency

Go 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)

Number of Collisions per Second in Equal Size Particles

Go 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))

Concentration of Equal Size Particle in Solution using Collision Rate

Go 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)

Temperature of Molecular Particle using Collision Rate

Go Temperature in terms of Molecular Dynamics = (3*Viscosity of Fluid in Quantum*Number of Collisions per Second)/(8*[BoltZ]*Concentration of Equal Size Particle in Solution)

Viscosity of Solution using Collision Rate

Go Viscosity of Fluid in Quantum = (8*[BoltZ]*Temperature in terms of Molecular Dynamics*Concentration of Equal Size Particle in Solution)/(3*Number of Collisions per Second)

Number Density for A Molecules using Collision Rate Constant

Go Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum)

Cross Sectional Area using Rate of Molecular Collisions

Go Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules)

Number of Bimolecular Collision per Unit Time per Unit Volume

Go Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area for Quantum

Reduced Mass of Reactants A and B

Go Reduced Mass of Reactants A and B = (Mass of Reactant B*Mass of Reactant B)/(Mass of Reactant A+Mass of Reactant B)

Miss Distance between Particles in Collision

Go Miss Distance = sqrt(((Interparticle Distance Vector^2)*Centrifugal Energy)/Total Energy Before Collision)

Interparticle Distance Vector in Molecular Reaction Dynamics

Go Interparticle Distance Vector = sqrt(Total Energy Before Collision*(Miss Distance^2)/Centrifugal Energy)

Centrifugal Energy in Collision

Go Centrifugal Energy = Total Energy Before Collision*(Miss Distance^2)/(Interparticle Distance Vector^2)

Total Energy before Collision

Go Total Energy Before Collision = Centrifugal Energy*(Interparticle Distance Vector^2)/(Miss Distance^2)

Vibrational Frequency given Boltzmann's Constant

Go Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]

Collisional Cross Section

Go Collisional Cross Section = pi*((Radius of Molecule A*Radius of Molecule B)^2)

Largest Charge Seperation in Collision

Go Largest Charge Seperation = sqrt(Reaction Cross Section/pi)

Reaction Cross Section in Collision

Go Reaction Cross Section = pi*(Largest Charge Seperation^2)

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)
μ_AB = (m_B*m_B)/(m_A+m_B)

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 μ_AB 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 (m_B) & Mass of Reactant A (m_A) 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 μ_AB = (m_B*m_B)/(m_A+m_B) 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 (m_B) & Mass of Reactant A (m_A). 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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