Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor)
CAo = CA*exp(𝛕p*kplug flow)
This formula uses 1 Functions, 4 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Initial Reactant Conc. - (Measured in Mole per Cubic Meter) - Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process.
Reactant Concentration - (Measured in Mole per Cubic Meter) - The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.
Space Time for Plug Flow Reactor - (Measured in Second) - Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor.
Rate Constant for Plug Flow Reactor - (Measured in Mole per Cubic Meter Second) - Rate Constant for Plug Flow Reactor is the proportional constant of the particular reaction in the reactor.
STEP 1: Convert Input(s) to Base Unit
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Space Time for Plug Flow Reactor: 0.069 Second --> 0.069 Second No Conversion Required
Rate Constant for Plug Flow Reactor: 20.05 Mole per Cubic Meter Second --> 20.05 Mole per Cubic Meter Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CAo = CA*exp(𝛕p*kplug flow) --> 24*exp(0.069*20.05)
Evaluating ... ...
CAo = 95.727329303289
STEP 3: Convert Result to Output's Unit
95.727329303289 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
95.727329303289 95.72733 Mole per Cubic Meter <-- Initial Reactant Conc.
(Calculation completed in 00.004 seconds)

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Basics of Non Ideal Flow Calculators

Exit Age Distribution Curve from C Pulse Curve
​ LaTeX ​ Go Exit Age Distribution = C Pulse/(Units of Tracer/Volumetric Flow Rate of Feed to Reactor)
Mean of C Pulse Curve
​ LaTeX ​ Go Mean Pulse Curve = Volume of Reactor/Volumetric Flow Rate of Feed to Reactor
Area under C-Pulse Curve
​ LaTeX ​ Go Area under Curve = Units of Tracer/Volumetric Flow Rate of Feed to Reactor
F Curve
​ LaTeX ​ Go F Curve = C Step/Initial Concentration of Reactant

Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes Formula

​LaTeX ​Go
Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor)
CAo = CA*exp(𝛕p*kplug flow)

What is space time ?

It is the time required to to treat one reactor volume of feed, where it is defined as ratio between total volume of reactor and volumetric flow rate.

What is Plug Flow reactor ?

In a plug flow reactor the composition of the fluid varies from point to point along a flow path; consequently, the material balance for a reaction component must be made for a differential element of volume.

How to Calculate Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes?

Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes calculator uses Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor) to calculate the Initial Reactant Conc., The Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes formula is defined as the exponential relation between space, time and concentration. Initial Reactant Conc. is denoted by CAo symbol.

How to calculate Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes using this online calculator? To use this online calculator for Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes, enter Reactant Concentration (CA), Space Time for Plug Flow Reactor (𝛕p) & Rate Constant for Plug Flow Reactor (kplug flow) and hit the calculate button. Here is how the Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes calculation can be explained with given input values -> 95.72733 = 24*exp(0.069*20.05).

FAQ

What is Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes?
The Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes formula is defined as the exponential relation between space, time and concentration and is represented as CAo = CA*exp(𝛕p*kplug flow) or Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor). The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process, Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor & Rate Constant for Plug Flow Reactor is the proportional constant of the particular reaction in the reactor.
How to calculate Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes?
The Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes formula is defined as the exponential relation between space, time and concentration is calculated using Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor). To calculate Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes, you need Reactant Concentration (CA), Space Time for Plug Flow Reactor (𝛕p) & Rate Constant for Plug Flow Reactor (kplug flow). With our tool, you need to enter the respective value for Reactant Concentration, Space Time for Plug Flow Reactor & Rate Constant for Plug Flow Reactor 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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