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Rate Constant for First Order Reaction in Vessel i Formula

GoRate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Formula

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The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant. Check FAQs

k' = \frac{C i-1 - C i}{C i \cdot 𝛕 i}

k^' - Rate Constant for First Order Reaction?C_i-1 - Reactant Concentration in Vessel i-1?C_i - Reactant Concentration in Vessel i?𝛕_i - Space Time for Vessel i?

Rate Constant for First Order Reaction in Vessel i Example

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Here is how the Rate Constant for First Order Reaction in Vessel i equation looks like with Values.

Here is how the Rate Constant for First Order Reaction in Vessel i equation looks like with Units.

Here is how the Rate Constant for First Order Reaction in Vessel i equation looks like.

0.0148 = \frac{50 - 30}{30 \cdot 45}

0.0148s⁻¹ = \frac{50mol/m³ - 30mol/m³}{30mol/m³ \cdot 45s}

0.0148 = \frac{50 - 30}{30 \cdot 45}

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Rate Constant for First Order Reaction in Vessel i Solution

Follow our step by step solution on how to calculate Rate Constant for First Order Reaction in Vessel i?

FIRST Step Consider the formula

k' = \frac{C i-1 - C i}{C i \cdot 𝛕 i}

Next Step Substitute values of Variables

∴

k' = \frac{50mol/m³ - 30mol/m³}{30mol/m³ \cdot 45s}

Next Step Prepare to Evaluate

∴

k' = \frac{50 - 30}{30 \cdot 45}

Next Step Evaluate

∴

k' = 0.0148148148148148s⁻¹

LAST Step Rounding Answer

∴

k' = 0.0148s⁻¹

Rate Constant for First Order Reaction in Vessel i Formula Elements

Variables

Rate Constant for First Order Reaction

The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

Symbol: k^'

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for First Order Reaction

Reactant Concentration in Vessel i-1

Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.

Symbol: C_i-1

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value can be positive or negative.

Formulas to find Reactant Concentration in Vessel i-1

Reactant Concentration in Vessel i

Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.

Symbol: C_i

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value can be positive or negative.

Formulas to find Reactant Concentration in Vessel i

Space Time for Vessel i

Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.

Symbol: 𝛕_i

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Space Time for Vessel i

Other Formulas to find Rate Constant for First Order Reaction

Go Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors

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

Other formulas in Design for Single Reactions category

Go Space Time for First Order Reaction for Vessel i using Volumetric Flow Rate

trC2' = \frac{V i}{υ}

Go Space Time for First Order Reaction for Vessel i using Molar Flow Rate

trC2' = \frac{V i \cdot C o}{F 0}

Go Space Time for First Order Reaction for Vessel i using Reaction Rate

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

Go Reaction Rate for Vessel i using Space Time

r i = \frac{C o \cdot (X i-1 - X i)}{𝛕 i}

How to Evaluate Rate Constant for First Order Reaction in Vessel i?

Rate Constant for First Order Reaction in Vessel i evaluator uses Rate Constant for First Order Reaction = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i) to evaluate the Rate Constant for First Order Reaction, The Rate Constant for First Order Reaction in Vessel i formula is defined as the constant of proportionality which gives the relation between rate for first order reaction and the first power of concentration of one of the reactants. Rate Constant for First Order Reaction is denoted by k^' symbol.

How to evaluate Rate Constant for First Order Reaction in Vessel i using this online evaluator? To use this online evaluator for Rate Constant for First Order Reaction in Vessel i, enter Reactant Concentration in Vessel i-1 (C_i-1), Reactant Concentration in Vessel i (C_i) & Space Time for Vessel i (𝛕_i) and hit the calculate button.

FAQs on Rate Constant for First Order Reaction in Vessel i

What is the formula to find Rate Constant for First Order Reaction in Vessel i?

The formula of Rate Constant for First Order Reaction in Vessel i is expressed as Rate Constant for First Order Reaction = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i). Here is an example- 0.014815 = (50-30)/(30*45).

How to calculate Rate Constant for First Order Reaction in Vessel i?

With Reactant Concentration in Vessel i-1 (C_i-1), Reactant Concentration in Vessel i (C_i) & Space Time for Vessel i (𝛕_i) we can find Rate Constant for First Order Reaction in Vessel i using the formula - Rate Constant for First Order Reaction = (Reactant Concentration in Vessel i-1-Reactant Concentration in Vessel i)/(Reactant Concentration in Vessel i*Space Time for Vessel i).

What are the other ways to Calculate Rate Constant for First Order Reaction?

Here are the different ways to Calculate Rate Constant for First Order Reaction-

Rate Constant for First Order Reaction=(1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration)

Can the Rate Constant for First Order Reaction in Vessel i be negative?

Yes, the Rate Constant for First Order Reaction in Vessel i, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant for First Order Reaction in Vessel i?

Rate Constant for First Order Reaction in Vessel i is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant for First Order Reaction in Vessel i can be measured.

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Rate Constant for First Order Reaction in Vessel i Formula

​GoRate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Formula

Rate Constant for First Order Reaction in Vessel i Example

Rate Constant for First Order Reaction in Vessel i Solution

Rate Constant for First Order Reaction in Vessel i Formula Elements

Other Formulas to find Rate Constant for First Order Reaction

Other formulas in Design for Single Reactions category

How to Evaluate Rate Constant for First Order Reaction in Vessel i?

FAQs on Rate Constant for First Order Reaction in Vessel i

Variable Name

GoRate Constant for First Order Reaction for Plug Flow or for Infinite Reactors Formula