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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_beam]			+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 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.ⓘ Cross Sectional Area for Quantum [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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Formula

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Number Density for A Molecules using Collision Rate Constant

Formula

n A = \frac{Z}{v beam \cdot n B \cdot A}

Example

7.8E-10 mmol/cm³ = \frac{7 m³/s}{25 m/s \cdot 14 mmol/cm³ \cdot 25.55 m²}

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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 for Quantum)
n_A = Z/(v_beam*n_B*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

n_A = Z/(v_beam*n_B*A) --> 7/(25*14000*25.55)

Evaluating ... ...

n_A = 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

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

Vibrational Frequency given Boltzmann's Constant

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

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 for Quantum)
n_A = Z/(v_beam*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 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 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_beam), Number Density for B Molecules (n_B) & 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 n_A = Z/(v_beam*n_B*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 (v_beam), Number Density for B Molecules (n_B) & 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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