Volume of Reactor based on Exit Age Distribution Calculator

✖E in Mean Residence Time is ratio between volume of reactor and volumetric flow rate of fluid.ⓘ E in Mean Residence Time [E_θ]			+10% -10%
✖Units of Tracer is represented as tracer fed to the reactor.ⓘ Units of Tracer [M]			+10% -10%
✖C Pulse is the data obtained while performing the residence time distribution experiment.ⓘ C Pulse [C_pulse]			+10% -10%

✖Volume of Reactor gives us the capacity of the reactor.ⓘ Volume of Reactor based on Exit Age Distribution [V]

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Formula

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Volume of Reactor based on Exit Age Distribution

Formula

`"V" = ("E"_{"θ"}*"M")/"C"_{"pulse"}`

Example

`"995.122m³"=("12/s"*"34kg")/"0.41kg/m³"`

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Volume of Reactor based on Exit Age Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse
V = (E_θ*M)/C_pulse
This formula uses 4 Variables

Variables Used

Volume of Reactor - (Measured in Cubic Meter) - Volume of Reactor gives us the capacity of the reactor.
E in Mean Residence Time - (Measured in 1 Per Second) - E in Mean Residence Time is ratio between volume of reactor and volumetric flow rate of fluid.
Units of Tracer - (Measured in Kilogram) - Units of Tracer is represented as tracer fed to the reactor.
C Pulse - (Measured in Kilogram per Cubic Meter) - C Pulse is the data obtained while performing the residence time distribution experiment.

STEP 1: Convert Input(s) to Base Unit

E in Mean Residence Time: 12 1 Per Second --> 12 1 Per Second No Conversion Required
Units of Tracer: 34 Kilogram --> 34 Kilogram No Conversion Required
C Pulse: 0.41 Kilogram per Cubic Meter --> 0.41 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (E_θ*M)/C_pulse --> (12*34)/0.41

Evaluating ... ...

V = 995.121951219512

STEP 3: Convert Result to Output's Unit

995.121951219512 Cubic Meter --> No Conversion Required

FINAL ANSWER

995.121951219512 ≈ 995.122 Cubic Meter <-- Volume of Reactor

(Calculation completed in 00.004 seconds)

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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

Volume of Reactor based on Exit Age Distribution Formula

Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse
V = (E_θ*M)/C_pulse

What is Exit Age Distribution ?

The Exit Age Distribution, also known as residence-time distribution (RTD) of a reactor is a characteristic of the mixing that occurs in the chemical reactor

What is C-pulse ?

It is the measure of presence of the tracer in the reactor, where it is calculated using titration. It is a concentration term.

How to Calculate Volume of Reactor based on Exit Age Distribution?

Volume of Reactor based on Exit Age Distribution calculator uses Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse to calculate the Volume of Reactor, The Volume of Reactor based on Exit Age Distribution formula is defined as Volume of Reactor measured in terms of ratio between exit age distribution and area under C pulse curve. Volume of Reactor is denoted by V symbol.

How to calculate Volume of Reactor based on Exit Age Distribution using this online calculator? To use this online calculator for Volume of Reactor based on Exit Age Distribution, enter E in Mean Residence Time (E_θ), Units of Tracer (M) & C Pulse (C_pulse) and hit the calculate button. Here is how the Volume of Reactor based on Exit Age Distribution calculation can be explained with given input values -> 52.40976 = (12*34)/0.41.

FAQ

What is Volume of Reactor based on Exit Age Distribution?

The Volume of Reactor based on Exit Age Distribution formula is defined as Volume of Reactor measured in terms of ratio between exit age distribution and area under C pulse curve and is represented as V = (E_θ*M)/C_pulse or Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse. E in Mean Residence Time is ratio between volume of reactor and volumetric flow rate of fluid, Units of Tracer is represented as tracer fed to the reactor & C Pulse is the data obtained while performing the residence time distribution experiment.

How to calculate Volume of Reactor based on Exit Age Distribution?

The Volume of Reactor based on Exit Age Distribution formula is defined as Volume of Reactor measured in terms of ratio between exit age distribution and area under C pulse curve is calculated using Volume of Reactor = (E in Mean Residence Time*Units of Tracer)/C Pulse. To calculate Volume of Reactor based on Exit Age Distribution, you need E in Mean Residence Time (E_θ), Units of Tracer (M) & C Pulse (C_pulse). With our tool, you need to enter the respective value for E in Mean Residence Time, Units of Tracer & C Pulse 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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