Exit Age Distribution based on Mean Residence Time Calculator

✖Volume of Reactor gives us the capacity of the reactor.ⓘ Volume of Reactor [V]			+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%

✖E in Mean Residence Time is ratio between volume of reactor and volumetric flow rate of fluid.ⓘ Exit Age Distribution based on Mean Residence Time [E_θ]

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Formula

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Exit Age Distribution based on Mean Residence Time

Formula

`"E"_{"θ"} = ("V")/"M"*"C"_{"pulse"}`

Example

`"12.05882/s"=("1000m³")/"34kg"*"0.41kg/m³"`

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Exit Age Distribution based on Mean Residence Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Volume of Reactor - (Measured in Cubic Meter) - Volume of Reactor gives us the capacity of the reactor.
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

Volume of Reactor: 1000 Cubic Meter --> 1000 Cubic Meter 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

E_θ = (V)/M*C_pulse --> (1000)/34*0.41

Evaluating ... ...

E_θ = 12.0588235294118

STEP 3: Convert Result to Output's Unit

12.0588235294118 1 Per Second --> No Conversion Required

FINAL ANSWER

12.0588235294118 ≈ 12.05882 1 Per Second <-- E in Mean Residence Time

(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

Exit Age Distribution based on Mean Residence Time Formula

E in Mean Residence Time = (Volume of Reactor)/Units of Tracer*C Pulse
E_θ = (V)/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 Exit Age Distribution based on Mean Residence Time?

Exit Age Distribution based on Mean Residence Time calculator uses E in Mean Residence Time = (Volume of Reactor)/Units of Tracer*C Pulse to calculate the E in Mean Residence Time, The Exit Age Distribution based on Mean Residence Time formula is defined as Exit Age Distribution which is measured in Mean Residence Time. E in Mean Residence Time is denoted by E_θ symbol.

How to calculate Exit Age Distribution based on Mean Residence Time using this online calculator? To use this online calculator for Exit Age Distribution based on Mean Residence Time, enter Volume of Reactor (V), Units of Tracer (M) & C Pulse (C_pulse) and hit the calculate button. Here is how the Exit Age Distribution based on Mean Residence Time calculation can be explained with given input values -> 12.05882 = (1000)/34*0.41.

FAQ

What is Exit Age Distribution based on Mean Residence Time?

The Exit Age Distribution based on Mean Residence Time formula is defined as Exit Age Distribution which is measured in Mean Residence Time and is represented as E_θ = (V)/M*C_pulse or E in Mean Residence Time = (Volume of Reactor)/Units of Tracer*C Pulse. Volume of Reactor gives us the capacity of the reactor, 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 Exit Age Distribution based on Mean Residence Time?

The Exit Age Distribution based on Mean Residence Time formula is defined as Exit Age Distribution which is measured in Mean Residence Time is calculated using E in Mean Residence Time = (Volume of Reactor)/Units of Tracer*C Pulse. To calculate Exit Age Distribution based on Mean Residence Time, you need Volume of Reactor (V), Units of Tracer (M) & C Pulse (C_pulse). With our tool, you need to enter the respective value for Volume of Reactor, 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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