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

✖The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration [C_A]			+10% -10%
✖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.ⓘ Space Time for Plug Flow Reactor [𝛕_p]			+10% -10%
✖Rate Constant for Plug Flow Reactor is the proportional constant of the particular reaction in the reactor.ⓘ Rate Constant for Plug Flow Reactor [k_{plug flow}]			+10% -10%

✖Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Concentration of Reactant in Plug Flow Reactant with Negligible Density Changes [C_Ao]

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

Formula

`"C"_{"Ao"} = "C"_{"A"}*exp("𝛕"_{"p"}*"k"_{"plug flow"})`

Example

`"95.72733mol/m³"="24mol/m³"*exp("0.069s"*"20.05mol/m³*s")`

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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)
C_Ao = C_A*exp(𝛕_p*k_{plug 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

C_Ao = C_A*exp(𝛕_p*k_{plug flow}) --> 24*exp(0.069*20.05)

Evaluating ... ...

C_Ao = 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 00.020 seconds)

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< 10+ Basics of Non Ideal Flow Calculators

Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes

Go Rate Constant for Plug Flow Reactor = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)

Space Time for Plug Flow Reactor with Negligible Density Changes

Go Space Time for Plug Flow Reactor = (1/Rate Constant for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)

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

Go Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor)

Exit Age Distribution Curve from C Pulse Curve

Go Exit Age Distribution = C Pulse/(Units of Tracer/Volumetric Flow Rate of Feed to Reactor)

Exit Age Distribution based on Mean Residence Time

Go E in Mean Residence Time = (Volume of Reactor)/Units of Tracer*C Pulse

Volume of Reactor based on Exit Age Distribution

Go Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse

Volumetric Flow Rate based on Mean Pulse Curve

Go Volumetric Flow Rate of Feed to Reactor = Volume of Reactor/Mean Pulse Curve

Mean of C Pulse Curve

Go Mean Pulse Curve = Volume of Reactor/Volumetric Flow Rate of Feed to Reactor

Area under C-Pulse Curve

Go Area under Curve = Units of Tracer/Volumetric Flow Rate of Feed to Reactor

F Curve

Go F Curve = C Step/Initial Concentration of Reactant

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

Initial Reactant Conc. = Reactant Concentration*exp(Space Time for Plug Flow Reactor*Rate Constant for Plug Flow Reactor)
C_Ao = C_A*exp(𝛕_p*k_{plug 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 C_Ao 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 (C_A), Space Time for Plug Flow Reactor (𝛕_p) & Rate Constant for Plug Flow Reactor (k_{plug 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 C_Ao = C_A*exp(𝛕_p*k_{plug 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 (C_A), Space Time for Plug Flow Reactor (𝛕_p) & Rate Constant for Plug Flow Reactor (k_{plug 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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