Reactant Concentration of First Order Irreversible Reaction Calculator

✖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 [k^']			+10% -10%
✖A Time Interval is the amount of time required for the change from initial to the final state.ⓘ Time Interval [Δt]			+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 of First Order Irreversible Reaction [C]

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Reactant Concentration of First Order Irreversible Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration
C = e^(-k^'*Δt)*C_o
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

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.
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.
Time Interval - (Measured in Second) - A Time Interval is the amount of time required for the change from initial to the final state.
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.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Order Reaction: 2.508 1 Per Second --> 2.508 1 Per Second No Conversion Required
Time Interval: 0.5333 Second --> 0.5333 Second No Conversion Required
Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = e^(-k^'*Δt)*C_o --> e^(-2.508*0.5333)*80

Evaluating ... ...

C = 20.9997437375232

STEP 3: Convert Result to Output's Unit

20.9997437375232 Mole per Cubic Meter --> No Conversion Required

FINAL ANSWER

20.9997437375232 ≈ 20.99974 Mole per Cubic Meter <-- Reactant Concentration

(Calculation completed in 00.020 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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Indian Institute of Technology, Madras (IIT Madras), Chennai, Tamil Nadu, India

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< Basics of Chemical Reaction Engineering Calculators

Reactant Concentration of Second Order Irreversible Reaction with Equal Reactant Conc using Time

LaTeX Go Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)

Reactant Concentration of First Order Irreversible Reaction

LaTeX Go Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration

Feed Reactant Concentration

LaTeX Go Concentration of Key Reactant A in the Feed = Molar Feed Rate of Reactant/Volumetric Flow Rate of Feed to Reactor

Molar Feed Rate of Reactant

LaTeX Go Molar Feed Rate of Reactant = Volumetric Flow Rate of Feed to Reactor*Concentration of Key Reactant A in the Feed

< Important Formulas in Basics of Chemical Reaction Engineering and Forms of Reaction Rate Calculators

Reactant Concentration of Second Order Irreversible Reaction with Equal Reactant Conc using Time

LaTeX Go Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)

Reactant Concentration of First Order Irreversible Reaction

LaTeX Go Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration

Feed Reactant Concentration

LaTeX Go Concentration of Key Reactant A in the Feed = Molar Feed Rate of Reactant/Volumetric Flow Rate of Feed to Reactor

Number of Moles of Reactant Fed using Reactant Conversion

LaTeX Go Number of Moles of Reactant-A Fed = Number of Moles of Unreacted Reactant-A/(1-Reactant Conversion)

Reactant Concentration of First Order Irreversible Reaction Formula

LaTeX Go

Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration
C = e^(-k^'*Δt)*C_o

What is a First-Order Reaction?

A first-order reaction is a reaction that proceeds at a rate that depends linearly on only one reactant concentration.

What is Chemical Reaction Engineering?

Chemical reaction engineering is a specialty in chemical engineering or industrial chemistry dealing with chemical reactors. Frequently the term relates specifically to catalytic reaction systems where either a homogeneous or heterogeneous catalyst is present in the reactor. Sometimes a reactor per se is not present by itself, but rather is integrated into a process, for example in reactive separations vessels, retorts, certain fuel cells, and photocatalytic surfaces.

How to Calculate Reactant Concentration of First Order Irreversible Reaction?

Reactant Concentration of First Order Irreversible Reaction calculator uses Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration to calculate the Reactant Concentration, Reactant Concentration of First Order Irreversible Reaction is defined as amount of reactant present in the solvent at any given point of time during the first order irreversible reaction. Reactant Concentration is denoted by C symbol.

How to calculate Reactant Concentration of First Order Irreversible Reaction using this online calculator? To use this online calculator for Reactant Concentration of First Order Irreversible Reaction, enter Rate Constant for First Order Reaction (k^'), Time Interval (Δt) & Initial Reactant Concentration (C_o) and hit the calculate button. Here is how the Reactant Concentration of First Order Irreversible Reaction calculation can be explained with given input values -> 20.99974 = e^(-2.508*0.5333)*80.

FAQ

What is Reactant Concentration of First Order Irreversible Reaction?

Reactant Concentration of First Order Irreversible Reaction is defined as amount of reactant present in the solvent at any given point of time during the first order irreversible reaction and is represented as C = e^(-k^'*Δt)*C_o or Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration. The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant, A Time Interval is the amount of time required for the change from initial to the final state & The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.

How to calculate Reactant Concentration of First Order Irreversible Reaction?

Reactant Concentration of First Order Irreversible Reaction is defined as amount of reactant present in the solvent at any given point of time during the first order irreversible reaction is calculated using Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration. To calculate Reactant Concentration of First Order Irreversible Reaction, you need Rate Constant for First Order Reaction (k^'), Time Interval (Δt) & Initial Reactant Concentration (C_o). With our tool, you need to enter the respective value for Rate Constant for First Order Reaction, Time Interval & Initial 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 Reactant Concentration?

In this formula, Reactant Concentration uses Rate Constant for First Order Reaction, Time Interval & Initial Reactant Concentration. We can use 3 other way(s) to calculate the same, which is/are as follows -

Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)
Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)

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