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 for Quantum)
nA = Z/(vbeam*nB*A)
This formula uses 5 Variables
Variables Used
Number Density for A Molecules - (Measured in Mole per Cubic Meter) - Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).
Collision Frequency - (Measured in Cubic Meter 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 Cubic Meter) - 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 for Quantum - (Measured in Square Meter) - Cross Sectional Area for Quantum 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 used in Quantum.
STEP 1: Convert Input(s) to Base Unit
Collision Frequency: 7 Cubic Meter per Second --> 7 Cubic Meter per Second No Conversion Required
Velocity of Beam Molecules: 25 Meter per Second --> 25 Meter per Second No Conversion Required
Number Density for B Molecules: 14 Millimole per Cubic Centimeter --> 14000 Mole per Cubic Meter (Check conversion ​here)
Cross Sectional Area for Quantum: 25.55 Square Meter --> 25.55 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
nA = Z/(vbeam*nB*A) --> 7/(25*14000*25.55)
Evaluating ... ...
nA = 7.82778864970646E-07
STEP 3: Convert Result to Output's Unit
7.82778864970646E-07 Mole per Cubic Meter -->7.82778864970646E-10 Millimole per Cubic Centimeter (Check conversion ​here)
FINAL ANSWER
7.82778864970646E-10 7.8E-10 Millimole per Cubic Centimeter <-- Number Density for A Molecules
(Calculation completed in 00.004 seconds)

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Molecular Reaction Dynamics Calculators

Number Density for A Molecules using Collision Rate Constant
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Collision Frequency = Number Density for A Molecules*Number Density for B Molecules*Velocity of Beam Molecules*Cross Sectional Area for Quantum
Vibrational Frequency given Boltzmann's Constant
​ LaTeX ​ Go Vibrational Frequency = ([BoltZ]*Temperature in terms of Molecular Dynamics)/[hP]

Number Density for A Molecules using Collision Rate Constant Formula

​LaTeX ​Go
Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum)
nA = Z/(vbeam*nB*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 for Quantum) 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 nA 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 (vbeam), Number Density for B Molecules (nB) & Cross Sectional Area for Quantum (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 -> 7.8E-13 = 7/(25*14000*25.55).

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 nA = Z/(vbeam*nB*A) or Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum). 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 for Quantum 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 used in Quantum.
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 for Quantum). To calculate Number Density for A Molecules using Collision Rate Constant, you need Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Cross Sectional Area for Quantum (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 for Quantum 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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