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

✖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%
✖Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Conc. [C_Ao]			+10% -10%
✖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%

✖Rate Constant for Plug Flow Reactor is the proportional constant of the particular reaction in the reactor.ⓘ Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes [k_{plug flow}]

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Formula

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

Formula

`"k"_{"plug flow"} = (1/"𝛕"_{"p"})*ln("C"_{"Ao"}/"C"_{"A"})`

Example

`"17.44888mol/m³*s"=(1/"0.069s")*ln("80mol/m³"/"24mol/m³")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for Plug Flow Reactor = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)
k_{plug flow} = (1/𝛕_p)*ln(C_Ao/C_A)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Space Time for Plug Flow Reactor: 0.069 Second --> 0.069 Second No Conversion Required
Initial Reactant Conc.: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_{plug flow} = (1/𝛕_p)*ln(C_Ao/C_A) --> (1/0.069)*ln(80/24)

Evaluating ... ...

k_{plug flow} = 17.448881222115

STEP 3: Convert Result to Output's Unit

17.448881222115 Mole per Cubic Meter Second --> No Conversion Required

FINAL ANSWER

17.448881222115 ≈ 17.44888 Mole per Cubic Meter Second <-- Rate Constant for Plug Flow Reactor

(Calculation completed in 00.004 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

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

Rate Constant for Plug Flow Reactor = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)
k_{plug flow} = (1/𝛕_p)*ln(C_Ao/C_A)

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

Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes calculator uses Rate Constant for Plug Flow Reactor = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration) to calculate the Rate Constant for Plug Flow Reactor, The Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes formula is defined as the logarithmic relation between space, time and concentration. Rate Constant for Plug Flow Reactor is denoted by k_{plug flow} symbol.

How to calculate Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes using this online calculator? To use this online calculator for Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes, enter Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Conc. (C_Ao) & Reactant Concentration (C_A) and hit the calculate button. Here is how the Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes calculation can be explained with given input values -> 17.44888 = (1/0.069)*ln(80/24).

FAQ

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

The Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes formula is defined as the logarithmic relation between space, time and concentration and is represented as k_{plug flow} = (1/𝛕_p)*ln(C_Ao/C_A) or 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 is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor, Initial Reactant Conc. refers to the amount of reactant present in the solvent before the considered process & The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

How to calculate Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes?

The Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes formula is defined as the logarithmic relation between space, time and concentration is calculated using Rate Constant for Plug Flow Reactor = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration). To calculate Rate Constant for Plug Flow Reactor using Space Time for Negligible Density Changes, you need Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Conc. (C_Ao) & Reactant Concentration (C_A). With our tool, you need to enter the respective value for Space Time for Plug Flow Reactor, Initial Reactant Conc & Reactant Concentration 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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