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

✖Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor.ⓘ Space Time for Plug Flow Reactor [𝛕_p]			+10% -10%
✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration [C]			+10% -10%

✖The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors [k^']

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

STEP 0: Pre-Calculation Summary

Formula Used

Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration)
k^' = (1/𝛕_p)*ln(C_o/C)
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
Space Time for Plug Flow Reactor - (Measured in Second) - Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.
Reactant Concentration - (Measured in Mole per Cubic Meter) - The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

STEP 1: Convert Input(s) to Base Unit

Space Time for Plug Flow Reactor: 0.48 Second --> 0.48 Second No Conversion Required
Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k^' = (1/𝛕_p)*ln(C_o/C) --> (1/0.48)*ln(80/24)

Evaluating ... ...

k^' = 2.50827667567903

STEP 3: Convert Result to Output's Unit

2.50827667567903 1 Per Second --> No Conversion Required

FINAL ANSWER

2.50827667567903 ≈ 2.508277 1 Per Second <-- Rate Constant for First Order Reaction

(Calculation completed in 00.020 seconds)

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< Design for Single Reactions Calculators

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

LaTeX Go Adjusted Retention Time of Comp 2 = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Reaction Rate for Vessel i

Reaction Rate for Vessel i using Space Time

LaTeX Go Reaction Rate for Vessel i = (Initial Reactant Concentration*(Reactant Conversion of Vessel i-1-Reactant Conversion of Vessel i))/Space Time for Vessel i

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

LaTeX Go Adjusted Retention Time of Comp 2 = (Volume of Vessel i*Initial Reactant Concentration)/Molar Feed Rate

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

LaTeX Go Adjusted Retention Time of Comp 2 = Volume of Vessel i/Volumetric Flow Rate

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

LaTeX Go

Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration)
k^' = (1/𝛕_p)*ln(C_o/C)

What is Plug Flow Reactor?

The plug flow reactor model (PFR, sometimes called continuous tubular reactor, CTR, or piston flow reactors) is a model used to describe chemical reactions in continuous, flowing systems of cylindrical geometry. The PFR model is used to predict the behavior of chemical reactors of such design, so that key reactor variables, such as the dimensions of the reactor, can be estimated.

What is first order reaction?

A first-order reaction can be defined as a chemical reaction in which the reaction rate is linearly dependent on the concentration of only one reactant. In other words, a first-order reaction is a chemical reaction in which the rate varies based on the changes in the concentration of only one of the reactants.

How to Calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors calculator uses Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration) to calculate the Rate Constant for First Order Reaction, The Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors 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 calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors using this online calculator? To use this online calculator for Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors, enter Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Concentration (C_o) & Reactant Concentration (C) and hit the calculate button. Here is how the Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors calculation can be explained with given input values -> 20.06621 = (1/0.48)*ln(80/24).

FAQ

What is Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

The Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors 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 and is represented as k^' = (1/𝛕_p)*ln(C_o/C) or Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration). Space Time for Plug Flow Reactor is the time taken by the amount of fluid to either completely enter or completely exit the plug flow reactor, The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process & The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.

How to calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors?

The Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors 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 is calculated using Rate Constant for First Order Reaction = (1/Space Time for Plug Flow Reactor)*ln(Initial Reactant Concentration/Reactant Concentration). To calculate Rate Constant for First Order Reaction for Plug Flow or for Infinite Reactors, you need Space Time for Plug Flow Reactor (𝛕_p), Initial Reactant Concentration (C_o) & Reactant Concentration (C). With our tool, you need to enter the respective value for Space Time for Plug Flow Reactor, Initial Reactant Concentration & Reactant Concentration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate Constant for First Order Reaction?

In this formula, Rate Constant for First Order Reaction uses Space Time for Plug Flow Reactor, Initial Reactant Concentration & Reactant Concentration. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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