Space Time for Plug Flow Reactor with Negligible Density Changes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Time for Plug Flow Reactor = (1/Rate Constant for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)
𝛕p = (1/kplug flow)*ln(CAo/CA)
This formula uses 1 Functions, 4 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
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.
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
Rate Constant for Plug Flow Reactor: 20.05 Mole per Cubic Meter Second --> 20.05 Mole per Cubic Meter 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
𝛕p = (1/kplug flow)*ln(CAo/CA) --> (1/20.05)*ln(80/24)
Evaluating ... ...
𝛕p = 0.0600485189189993
STEP 3: Convert Result to Output's Unit
0.0600485189189993 Second --> No Conversion Required
FINAL ANSWER
0.0600485189189993 0.060049 Second <-- Space Time for Plug Flow Reactor
(Calculation completed in 00.004 seconds)

Credits

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Anurag Group of Institutions (AGI), Hyderabad
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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

Space Time for Plug Flow Reactor with Negligible Density Changes Formula

Space Time for Plug Flow Reactor = (1/Rate Constant for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration)
𝛕p = (1/kplug flow)*ln(CAo/CA)

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 Space Time for Plug Flow Reactor with Negligible Density Changes?

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

How to calculate Space Time for Plug Flow Reactor with Negligible Density Changes using this online calculator? To use this online calculator for Space Time for Plug Flow Reactor with Negligible Density Changes, enter Rate Constant for Plug Flow Reactor (kplug flow), Initial Reactant Conc. (CAo) & Reactant Concentration (CA) and hit the calculate button. Here is how the Space Time for Plug Flow Reactor with Negligible Density Changes calculation can be explained with given input values -> 0.060049 = (1/20.05)*ln(80/24).

FAQ

What is Space Time for Plug Flow Reactor with Negligible Density Changes?
Space Time for Plug Flow Reactor with negligible Density Changes formula is defined as the logarithmic relation between space, time and concentration and is represented as 𝛕p = (1/kplug flow)*ln(CAo/CA) or Space Time for Plug Flow Reactor = (1/Rate Constant for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration). Rate Constant for Plug Flow Reactor is the proportional constant of the particular reaction in the 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 Space Time for Plug Flow Reactor with Negligible Density Changes?
Space Time for Plug Flow Reactor with negligible Density Changes formula is defined as the logarithmic relation between space, time and concentration is calculated using Space Time for Plug Flow Reactor = (1/Rate Constant for Plug Flow Reactor)*ln(Initial Reactant Conc./Reactant Concentration). To calculate Space Time for Plug Flow Reactor with Negligible Density Changes, you need Rate Constant for Plug Flow Reactor (kplug flow), Initial Reactant Conc. (CAo) & Reactant Concentration (CA). With our tool, you need to enter the respective value for Rate Constant 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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