Total Molar Feed Rate Calculator

✖Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.ⓘ Recycle Ratio [R]			+10% -10%
✖Fresh Molar Feed Rate gives the number of moles of fresh reactant being fed to the reactor per unit time.ⓘ Fresh Molar Feed Rate [F]			+10% -10%

✖Total Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time where it is combination of fresh feed stream and recycle stream.ⓘ Total Molar Feed Rate [F0^']

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Formula

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Total Molar Feed Rate

Formula

`"F0"^{"'"} = ("R"+1)*"F"`

Example

`"15.6mol/s"=("0.3"+1)*"12mol/s"`

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Download Homogeneous Reactions in Ideal Reactors Formula PDF

Total Molar Feed Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate
F0^' = (R+1)*F
This formula uses 3 Variables

Variables Used

Total Molar Feed Rate - (Measured in Mole per Second) - Total Molar Feed Rate gives the number of moles of reactant being fed to the reactor per unit time where it is combination of fresh feed stream and recycle stream.
Recycle Ratio - Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.
Fresh Molar Feed Rate - (Measured in Mole per Second) - Fresh Molar Feed Rate gives the number of moles of fresh reactant being fed to the reactor per unit time.

STEP 1: Convert Input(s) to Base Unit

Recycle Ratio: 0.3 --> No Conversion Required
Fresh Molar Feed Rate: 12 Mole per Second --> 12 Mole per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F0^' = (R+1)*F --> (0.3+1)*12

Evaluating ... ...

F0^' = 15.6

STEP 3: Convert Result to Output's Unit

15.6 Mole per Second --> No Conversion Required

FINAL ANSWER

15.6 Mole per Second <-- Total Molar Feed Rate

(Calculation completed in 00.004 seconds)

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K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik

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< 13 Recycle Reactor Calculators

Rate Constant for Second Order Reaction using Recycle Ratio

Go Rate Constant for Second Order Reaction = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Space Time*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))

Space Time for Second Order Reaction using Recycle Ratio

Go Space Time = ((Recycle Ratio+1)*Initial Reactant Concentration*(Initial Reactant Concentration-Final Reactant Concentration))/(Initial Reactant Concentration*Rate Constant for Second Order Reaction*Final Reactant Concentration*(Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration)))

Rate Constant for First Order Reaction using Recycle Ratio

Go Rate Constant for First Order Reaction = ((Recycle Ratio+1)/Space Time)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))

Space Time for First Order Reaction using Recycle Ratio

Go Space Time = ((Recycle Ratio+1)/Rate Constant for First Order Reaction)*ln((Initial Reactant Concentration+(Recycle Ratio*Final Reactant Concentration))/((Recycle Ratio+1)*Final Reactant Concentration))

Total Feed Reactant Conversion

Go Total Feed Reactant Conversion = (Recycle Ratio/(Recycle Ratio+1))*Final Reactant Conversion

Final Reactant Conversion

Go Final Reactant Conversion = ((Recycle Ratio+1)/Recycle Ratio)*Total Feed Reactant Conversion

Recycle Ratio using Reactant Conversion

Go Recycle Ratio = 1/((Final Reactant Conversion/Total Feed Reactant Conversion)-1)

Recycle Ratio using Total Feed Rate

Go Recycle Ratio = (Total Molar Feed Rate/Fresh Molar Feed Rate)-1

Fresh Molar Feed Rate

Go Fresh Molar Feed Rate = Total Molar Feed Rate/(Recycle Ratio+1)

Total Molar Feed Rate

Go Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate

Volume of Fluid returned to Reactor Entrance

Go Volume Returned = Volume Discharged*Recycle Ratio

Volume leaving System

Go Volume Discharged = Volume Returned/Recycle Ratio

Recycle Ratio

Go Recycle Ratio = Volume Returned/Volume Discharged

Total Molar Feed Rate Formula

Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate
F0^' = (R+1)*F

What is molar flow rate?

Molar flow rate is defined as the number of moles of a material that passes a reference plane within a unit time interval.

What is recycle in chemical engineering?

The essentials of the recycling method are that the mixture of both reacted and unreacted products reaches a separating system beyond the reactor where these products are separated from each other; then the unreacted part mixes with the fresh feed stock and the resulting mixture is passed into the reactor.

How to Calculate Total Molar Feed Rate?

Total Molar Feed Rate calculator uses Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate to calculate the Total Molar Feed Rate, The Total Molar Feed Rate formula is defined as flow rate of stream which is a combination of fresh feed stream and recycle stream. Total Molar Feed Rate is denoted by F0^' symbol.

How to calculate Total Molar Feed Rate using this online calculator? To use this online calculator for Total Molar Feed Rate, enter Recycle Ratio (R) & Fresh Molar Feed Rate (F) and hit the calculate button. Here is how the Total Molar Feed Rate calculation can be explained with given input values -> 15.6 = (0.3+1)*12.

FAQ

What is Total Molar Feed Rate?

The Total Molar Feed Rate formula is defined as flow rate of stream which is a combination of fresh feed stream and recycle stream and is represented as F0^' = (R+1)*F or Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate. Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams & Fresh Molar Feed Rate gives the number of moles of fresh reactant being fed to the reactor per unit time.

How to calculate Total Molar Feed Rate?

The Total Molar Feed Rate formula is defined as flow rate of stream which is a combination of fresh feed stream and recycle stream is calculated using Total Molar Feed Rate = (Recycle Ratio+1)*Fresh Molar Feed Rate. To calculate Total Molar Feed Rate, you need Recycle Ratio (R) & Fresh Molar Feed Rate (F). With our tool, you need to enter the respective value for Recycle Ratio & Fresh Molar Feed Rate 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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