Cross Sectional Area using Rate of Molecular Collisions Formula

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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. Check FAQs
A=ZvbeamnBnA
A - Cross Sectional Area for Quantum?Z - Collision Frequency?vbeam - Velocity of Beam Molecules?nB - Number Density for B Molecules?nA - Number Density for A Molecules?

Cross Sectional Area using Rate of Molecular Collisions Example

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With units
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Here is how the Cross Sectional Area using Rate of Molecular Collisions equation looks like with Values.

Here is how the Cross Sectional Area using Rate of Molecular Collisions equation looks like with Units.

Here is how the Cross Sectional Area using Rate of Molecular Collisions equation looks like.

1.1E-9Edit=7Edit25Edit14Edit18Edit
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Cross Sectional Area using Rate of Molecular Collisions Solution

Follow our step by step solution on how to calculate Cross Sectional Area using Rate of Molecular Collisions?

FIRST Step Consider the formula
A=ZvbeamnBnA
Next Step Substitute values of Variables
A=7m³/s25m/s14mmol/cm³18mmol/cm³
Next Step Convert Units
A=7m³/s25m/s14000mol/m³18000mol/m³
Next Step Prepare to Evaluate
A=7251400018000
Next Step Evaluate
A=1.11111111111111E-09
LAST Step Rounding Answer
A=1.1E-9

Cross Sectional Area using Rate of Molecular Collisions Formula Elements

Variables
Cross Sectional Area for Quantum
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.
Symbol: A
Measurement: AreaUnit:
Note: Value should be greater than 0.
Collision Frequency
Collision Frequency is defined as the number of collisions per second per unit volume of the reacting mixture.
Symbol: Z
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Velocity of Beam Molecules
Velocity of Beam Molecules is the speed of beam molecules in a given direction.
Symbol: vbeam
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Number Density for B Molecules
Number Density for B Molecules is expressed as a number of moles per unit volume (and thus called molar concentration) of B molecules.
Symbol: nB
Measurement: Molar ConcentrationUnit: mmol/cm³
Note: Value should be greater than 0.
Number Density for A Molecules
Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration).
Symbol: nA
Measurement: Molar ConcentrationUnit: mmol/cm³
Note: Value should be greater than 0.

Other formulas in Molecular Reaction Dynamics category

​Go Number of Bimolecular Collision per Unit Time per Unit Volume
Z=nAnBvbeamA
​Go Number Density for A Molecules using Collision Rate Constant
nA=ZvbeamnBA
​Go Vibrational Frequency given Boltzmann's Constant
vvib=[BoltZ]T[hP]
​Go Reduced Mass of Reactants A and B
μAB=mBmBmA+mB

How to Evaluate Cross Sectional Area using Rate of Molecular Collisions?

Cross Sectional Area using Rate of Molecular Collisions evaluator uses Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules) to evaluate the Cross Sectional Area for Quantum, The Cross Sectional Area using Rate of Molecular Collisions formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object which is calculated using rate of molecular collision. Cross Sectional Area for Quantum is denoted by A symbol.

How to evaluate Cross Sectional Area using Rate of Molecular Collisions using this online evaluator? To use this online evaluator for Cross Sectional Area using Rate of Molecular Collisions, enter Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Number Density for A Molecules (nA) and hit the calculate button.

FAQs on Cross Sectional Area using Rate of Molecular Collisions

What is the formula to find Cross Sectional Area using Rate of Molecular Collisions?
The formula of Cross Sectional Area using Rate of Molecular Collisions is expressed as Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules). Here is an example- 1.1E-9 = 7/(25*14000*18000).
How to calculate Cross Sectional Area using Rate of Molecular Collisions?
With Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Number Density for A Molecules (nA) we can find Cross Sectional Area using Rate of Molecular Collisions using the formula - Cross Sectional Area for Quantum = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Number Density for A Molecules).
Can the Cross Sectional Area using Rate of Molecular Collisions be negative?
No, the Cross Sectional Area using Rate of Molecular Collisions, measured in Area cannot be negative.
Which unit is used to measure Cross Sectional Area using Rate of Molecular Collisions?
Cross Sectional Area using Rate of Molecular Collisions is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross Sectional Area using Rate of Molecular Collisions can be measured.
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