Number Density for A Molecules using Collision Rate Constant Calculator

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✖Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.ⓘ Collision Frequency [Z]			+10% -10%
✖Velocity of Beam Molecules is the speed of beam molecules in a given direction.ⓘ Velocity of Beam Molecules [v]			+10% -10%
✖Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules.ⓘ Number Density for B Molecules [n_B]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area [A]			+10% -10%

✖Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).ⓘ Number Density for A Molecules using Collision Rate Constant [n_A]

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Number Density for A Molecules using Collision Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area)
n_A = Z/(v*n_B*A)
This formula uses 5 Variables

Variables Used

Number Density for A Molecules - (Measured in Mole per Meter³) - Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).
Collision Frequency - (Measured in Meter³ per Second) - Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.
Velocity of Beam Molecules - (Measured in Meter per Second) - Velocity of Beam Molecules is the speed of beam molecules in a given direction.
Number Density for B Molecules - (Measured in Mole per Meter³) - Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules.
Cross Sectional Area - (Measured in Square Meter) - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

STEP 1: Convert Input(s) to Base Unit

Collision Frequency: 10 Meter³ per Second --> 10 Meter³ per Second No Conversion Required
Velocity of Beam Molecules: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Number Density for B Molecules: 10 Millimole per Centimeter³ --> 10000 Mole per Meter³ (Check conversion here)
Cross Sectional Area: 10 Square Meter --> 10 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_A = Z/(v*n_B*A) --> 10/(10*10000*10)

Evaluating ... ...

n_A = 1E-05

STEP 3: Convert Result to Output's Unit

1E-05 Mole per Meter³ -->1E-08 Millimole per Centimeter³ (Check conversion here)

FINAL ANSWER

1E-08 Millimole per Centimeter³ <-- Number Density for A Molecules

(Calculation completed in 00.016 seconds)

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Created by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

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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) 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/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/pi) 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) Go

Cross Sectional Area using Rate of Molecular Collisions

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

Number of Collisions per Second in Equal Size Particles

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

Concentration of Equal Size Particle in Solution using Collision Rate

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

Number Density for A Molecules using Collision Rate Constant Formula

Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area)
n_A = Z/(v*n_B*A)

What is Collision Theory?

Collision theory states that when suitable particles of the reactant hit each other with correct orientation, only a certain amount of collisions result in a perceptible or notable change; these successful changes are called successful collisions. The successful collisions must have enough energy, also known as activation energy, at the moment of impact to break the pre-existing bonds and form all new bonds.

How to Calculate Number Density for A Molecules using Collision Rate Constant?

Number Density for A Molecules using Collision Rate Constant calculator uses Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area) to calculate the Number Density for A Molecules, The Number Density for A Molecules using Collision Rate Constant formula is defined as the rate of collisions between two A Molecules in a given volume, per unit time which is calculated using collision rate constant. Number Density for A Molecules is denoted by n_A symbol.

How to calculate Number Density for A Molecules using Collision Rate Constant using this online calculator? To use this online calculator for Number Density for A Molecules using Collision Rate Constant, enter Collision Frequency (Z), Velocity of Beam Molecules (v), Number Density for B Molecules (n_B) & Cross Sectional Area (A) and hit the calculate button. Here is how the Number Density for A Molecules using Collision Rate Constant calculation can be explained with given input values -> 1.000E-8 = 10/(10*10000*10).

FAQ

What is Number Density for A Molecules using Collision Rate Constant?

The Number Density for A Molecules using Collision Rate Constant formula is defined as the rate of collisions between two A Molecules in a given volume, per unit time which is calculated using collision rate constant and is represented as n_A = Z/(v*n_B*A) or Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area). Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture, Velocity of Beam Molecules is the speed of beam molecules in a given direction, Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules & Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

How to calculate Number Density for A Molecules using Collision Rate Constant?

The Number Density for A Molecules using Collision Rate Constant formula is defined as the rate of collisions between two A Molecules in a given volume, per unit time which is calculated using collision rate constant is calculated using Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area). To calculate Number Density for A Molecules using Collision Rate Constant, you need Collision Frequency (Z), Velocity of Beam Molecules (v), Number Density for B Molecules (n_B) & Cross Sectional Area (A). With our tool, you need to enter the respective value for Collision Frequency, Velocity of Beam Molecules, Number Density for B Molecules & Cross Sectional Area 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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