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Rate Constant for Second Order Reaction using Recycle Ratio Formula

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The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2. Check FAQs

k'' = \frac{(R + 1) \cdot C o \cdot (C o - C f)}{C o \cdot 𝛕 \cdot C f \cdot (C o + (R \cdot C f))}

k^'' - Rate Constant for Second Order Reaction?R - Recycle Ratio?C_o - Initial Reactant Concentration?C_f - Final Reactant Concentration?𝛕 - Space Time?

Rate Constant for Second Order Reaction using Recycle Ratio Example

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Here is how the Rate Constant for Second Order Reaction using Recycle Ratio equation looks like with Values.

Here is how the Rate Constant for Second Order Reaction using Recycle Ratio equation looks like with Units.

Here is how the Rate Constant for Second Order Reaction using Recycle Ratio equation looks like.

0.907 = \frac{(0.3 + 1) \cdot 80 \cdot (80 - 20)}{80 \cdot 0.05 \cdot 20 \cdot (80 + (0.3 \cdot 20))}

0.907m³/(mol*s) = \frac{(0.3 + 1) \cdot 80mol/m³ \cdot (80mol/m³ - 20mol/m³)}{80mol/m³ \cdot 0.05s \cdot 20mol/m³ \cdot (80mol/m³ + (0.3 \cdot 20mol/m³))}

0.907 = \frac{(0.3 + 1) \cdot 80 \cdot (80 - 20)}{80 \cdot 0.05 \cdot 20 \cdot (80 + (0.3 \cdot 20))}

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Rate Constant for Second Order Reaction using Recycle Ratio Solution

Follow our step by step solution on how to calculate Rate Constant for Second Order Reaction using Recycle Ratio?

FIRST Step Consider the formula

k'' = \frac{(R + 1) \cdot C o \cdot (C o - C f)}{C o \cdot 𝛕 \cdot C f \cdot (C o + (R \cdot C f))}

Next Step Substitute values of Variables

∴

k'' = \frac{(0.3 + 1) \cdot 80mol/m³ \cdot (80mol/m³ - 20mol/m³)}{80mol/m³ \cdot 0.05s \cdot 20mol/m³ \cdot (80mol/m³ + (0.3 \cdot 20mol/m³))}

Next Step Prepare to Evaluate

∴

k'' = \frac{(0.3 + 1) \cdot 80 \cdot (80 - 20)}{80 \cdot 0.05 \cdot 20 \cdot (80 + (0.3 \cdot 20))}

Next Step Evaluate

∴

k'' = 0.906976744186046m³/(mol*s)

LAST Step Rounding Answer

∴

k'' = 0.907m³/(mol*s)

Rate Constant for Second Order Reaction using Recycle Ratio Formula Elements

Variables

Rate Constant for Second Order Reaction

The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.

Symbol: k^''

Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)

Note: Value can be positive or negative.

Formulas to find Rate Constant for Second Order Reaction

Recycle Ratio

Recycle Ratio is defined as volume of feed, returned to the reactor entrance divided by the volume of the leaving streams.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Recycle Ratio

Initial Reactant Concentration

The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

Symbol: C_o

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Concentration

Final Reactant Concentration

Final Reactant Concentration refers to the amount of reactant present in solution after the considered process.

Symbol: C_f

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value can be positive or negative.

Formulas to find Final Reactant Concentration

Space Time

Space Time is the time necessary to process volume of reactor fluid at the entrance conditions. This is the time taken by the amount of fluid to either completely enter or completely exit the reactor.

Symbol: 𝛕

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time

Other formulas in Recycle Reactor category

Go Initial Reactant Concentration for First Order Reaction in Vessel i

C i-1 = C i \cdot (1 + (k' \cdot trC2'))

Go Initial Reactant Concentration for First Order Reaction using Reaction Rate

C o = \frac{trC2' \cdot r i}{X i-1 - X i}

Go Initial Reactant Concentration for Second Order Reaction for Plug Flow or Infinite Reactors

C o = \frac{1}{(\frac{1}{C}) - (k'' \cdot 𝛕 p)}

Go Reactant Concentration for First Order Reaction in Vessel i

C i = \frac{C i-1}{1 + (k' \cdot trC2')}

How to Evaluate Rate Constant for Second Order Reaction using Recycle Ratio?

Rate Constant for Second Order Reaction using Recycle Ratio evaluator uses 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))) to evaluate the Rate Constant for Second Order Reaction, The Rate Constant for Second Order Reaction using Recycle Ratio formula is defined as the proportionality constant for second order reaction for zero fractional volume change. Rate Constant for Second Order Reaction is denoted by k^'' symbol.

How to evaluate Rate Constant for Second Order Reaction using Recycle Ratio using this online evaluator? To use this online evaluator for Rate Constant for Second Order Reaction using Recycle Ratio, enter Recycle Ratio (R), Initial Reactant Concentration (C_o), Final Reactant Concentration (C_f) & Space Time (𝛕) and hit the calculate button.

FAQs on Rate Constant for Second Order Reaction using Recycle Ratio

What is the formula to find Rate Constant for Second Order Reaction using Recycle Ratio?

The formula of Rate Constant for Second Order Reaction using Recycle Ratio is expressed as 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))). Here is an example- 0.906977 = ((0.3+1)*80*(80-20))/(80*0.05*20*(80+(0.3*20))).

How to calculate Rate Constant for Second Order Reaction using Recycle Ratio?

With Recycle Ratio (R), Initial Reactant Concentration (C_o), Final Reactant Concentration (C_f) & Space Time (𝛕) we can find Rate Constant for Second Order Reaction using Recycle Ratio using the formula - 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))).

Can the Rate Constant for Second Order Reaction using Recycle Ratio be negative?

Yes, the Rate Constant for Second Order Reaction using Recycle Ratio, measured in Second Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for Second Order Reaction using Recycle Ratio?

Rate Constant for Second Order Reaction using Recycle Ratio is usually measured using the Cubic Meter per Mole Second[m³/(mol*s)] for Second Order Reaction Rate Constant. Cubic Meter per Kilomole Millisecond[m³/(mol*s)], Liter per Mole Second[m³/(mol*s)], Liter per Mole Millisecond[m³/(mol*s)] are the few other units in which Rate Constant for Second Order Reaction using Recycle Ratio can be measured.

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Rate Constant for Second Order Reaction using Recycle Ratio Formula

Rate Constant for Second Order Reaction using Recycle Ratio Example

Rate Constant for Second Order Reaction using Recycle Ratio Solution

Rate Constant for Second Order Reaction using Recycle Ratio Formula Elements

Other formulas in Recycle Reactor category

How to Evaluate Rate Constant for Second Order Reaction using Recycle Ratio?

FAQs on Rate Constant for Second Order Reaction using Recycle Ratio

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