Number Density for A Molecules using Collision Rate Constant Formula

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Number Density for A Molecules is expressed as a number of moles per unit volume (and thus called molar concentration). Check FAQs
nA=ZvbeamnBA
nA - Number Density for A Molecules?Z - Collision Frequency?vbeam - Velocity of Beam Molecules?nB - Number Density for B Molecules?A - Cross Sectional Area for Quantum?

Number Density for A Molecules using Collision Rate Constant Example

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With units
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Here is how the Number Density for A Molecules using Collision Rate Constant equation looks like with Values.

Here is how the Number Density for A Molecules using Collision Rate Constant equation looks like with Units.

Here is how the Number Density for A Molecules using Collision Rate Constant equation looks like.

7.8E-10Edit=7Edit25Edit14Edit25.55Edit
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Number Density for A Molecules using Collision Rate Constant Solution

Follow our step by step solution on how to calculate Number Density for A Molecules using Collision Rate Constant?

FIRST Step Consider the formula
nA=ZvbeamnBA
Next Step Substitute values of Variables
nA=7m³/s25m/s14mmol/cm³25.55
Next Step Convert Units
nA=7m³/s25m/s14000mol/m³25.55
Next Step Prepare to Evaluate
nA=7251400025.55
Next Step Evaluate
nA=7.82778864970646E-07mol/m³
Next Step Convert to Output's Unit
nA=7.82778864970646E-10mmol/cm³
LAST Step Rounding Answer
nA=7.8E-10mmol/cm³

Number Density for A Molecules using Collision Rate Constant Formula Elements

Variables
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.
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.
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.

Other formulas in Molecular Reaction Dynamics category

​Go Number of Bimolecular Collision per Unit Time per Unit Volume
Z=nAnBvbeamA
​Go Cross Sectional Area using Rate of Molecular Collisions
A=ZvbeamnBnA
​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 Number Density for A Molecules using Collision Rate Constant?

Number Density for A Molecules using Collision Rate Constant evaluator uses Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum) to evaluate 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 evaluate Number Density for A Molecules using Collision Rate Constant using this online evaluator? To use this online evaluator 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.

FAQs on Number Density for A Molecules using Collision Rate Constant

What is the formula to find Number Density for A Molecules using Collision Rate Constant?
The formula of Number Density for A Molecules using Collision Rate Constant is expressed as Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum). Here is an example- 7.8E-13 = 7/(25*14000*25.55).
How to calculate Number Density for A Molecules using Collision Rate Constant?
With Collision Frequency (Z), Velocity of Beam Molecules (vbeam), Number Density for B Molecules (nB) & Cross Sectional Area for Quantum (A) we can find Number Density for A Molecules using Collision Rate Constant using the formula - Number Density for A Molecules = Collision Frequency/(Velocity of Beam Molecules*Number Density for B Molecules*Cross Sectional Area for Quantum).
Can the Number Density for A Molecules using Collision Rate Constant be negative?
No, the Number Density for A Molecules using Collision Rate Constant, measured in Molar Concentration cannot be negative.
Which unit is used to measure Number Density for A Molecules using Collision Rate Constant?
Number Density for A Molecules using Collision Rate Constant is usually measured using the Millimole per Cubic Centimeter[mmol/cm³] for Molar Concentration. Mole per Cubic Meter[mmol/cm³], Mole per Liter[mmol/cm³], Mole per Cubic Millimeter[mmol/cm³] are the few other units in which Number Density for A Molecules using Collision Rate Constant can be measured.
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