Rate Constant for First Order Reaction in Vessel i Calculator

✖Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.ⓘ Reactant Concentration in Vessel i-1 [C_i-1]			+10% -10%
✖Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.ⓘ Reactant Concentration in Vessel i [C_i]			+10% -10%
✖Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.ⓘ Space Time for Vessel i [𝛕_i]			+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 in Vessel i [k^']

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Rate Constant for First Order Reaction in Vessel i Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
k^' = (C_i-1-C_i)/(C_i*𝛕_i)
This formula uses 4 Variables

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.
Reactant Concentration in Vessel i-1 - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1.
Reactant Concentration in Vessel i - (Measured in Mole per Cubic Meter) - Reactant Concentration in Vessel i is the amount of reactant per solvent in Vessel i.
Space Time for Vessel i - (Measured in Second) - Space Time for Vessel i is the time taken by the amount of fluid to either completely enter or completely exit the reactor vessel.

STEP 1: Convert Input(s) to Base Unit

Reactant Concentration in Vessel i-1: 50 Mole per Cubic Meter --> 50 Mole per Cubic Meter No Conversion Required
Reactant Concentration in Vessel i: 30 Mole per Cubic Meter --> 30 Mole per Cubic Meter No Conversion Required
Space Time for Vessel i: 45 Second --> 45 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k^' = (C_i-1-C_i)/(C_i*𝛕_i) --> (50-30)/(30*45)

Evaluating ... ...

k^' = 0.0148148148148148

STEP 3: Convert Result to Output's Unit

0.0148148148148148 1 Per Second --> No Conversion Required

FINAL ANSWER

0.0148148148148148 ≈ 0.014815 1 Per Second <-- Rate Constant for First Order Reaction

(Calculation completed in 00.021 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 in Vessel i Formula

LaTeX Go

What is continuous stirred-tank reactor?

The continuous stirred-tank reactor (CSTR), also known as vat- or backmix reactor, mixed flow reactor (MFR), or a continuous-flow stirred-tank reactor (CFSTR), is a common model for a chemical reactor in chemical engineering and environmental engineering. A CSTR often refers to a model used to estimate the key unit operation variables when using a continuous agitated-tank reactor to reach a specified output. The mathematical model works for all fluids: liquids, gases, and slurries.

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 in Vessel i?

Rate Constant for First Order Reaction in Vessel i calculator 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 calculate 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 calculate Rate Constant for First Order Reaction in Vessel i using this online calculator? To use this online calculator 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. Here is how the Rate Constant for First Order Reaction in Vessel i calculation can be explained with given input values -> 0.014815 = (50-30)/(30*45).

FAQ

What is Rate Constant for First Order Reaction in Vessel i?

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 and is represented as k^' = (C_i-1-C_i)/(C_i*𝛕_i) or 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). Reactant Concentration in Vessel i-1 is the amount of reactant per solvent in Vessel i-1, Reactant Concentration in Vessel i is the amount of reactant per solvent in 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.

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

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 is calculated using 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 calculate Rate Constant for First Order Reaction in Vessel i, you need Reactant Concentration in Vessel i-1 (C_i-1), Reactant Concentration in Vessel i (C_i) & Space Time for Vessel i (𝛕_i). With our tool, you need to enter the respective value for Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Space Time for Vessel i 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 Reactant Concentration in Vessel i-1, Reactant Concentration in Vessel i & Space Time for Vessel i. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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