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)*Co
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)*Co --> 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 00.004 seconds)

Credits

Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
Ishan Gupta has created this Calculator and 50+ more calculators!
Verified by Himanshu
Indian Institute of Technology, Madras (IIT Madras), Chennai, Tamil Nadu, India
Himanshu has verified this Calculator and 3 more calculators!

11 Basics of Chemical Reaction Engineering Calculators

Reactant Concentration of Second Order Irreversible Reaction with Equal Reactant Conc using Time
Go Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)
Reactant Concentration of First Order Irreversible Reaction
Go Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration
Volumetric Flow Rate of Reactant
Go Volumetric Flow Rate of Feed to Reactor = Molar Feed Rate of Reactant/Concentration of Key Reactant A in the Feed
Feed Reactant Concentration
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
Go Molar Feed Rate of Reactant = Volumetric Flow Rate of Feed to Reactor*Concentration of Key Reactant A in the Feed
Number of Moles of Reactant Fed using Reactant Conversion
Go Number of Moles of Reactant-A Fed = Number of Moles of Unreacted Reactant-A/(1-Reactant Conversion)
Reactant Conversion using Number of Moles of Reactant Fed
Go Reactant Conversion = 1-Number of Moles of Unreacted Reactant-A/Number of Moles of Reactant-A Fed
Reactant Conversion using Molar Feed Rate of Reactant
Go Reactant Conversion = 1-Molar Flow Rate of Unreacted Reactant/Molar Feed Rate of Reactant
Initial Reactant Concentration using Reactant Conversion
Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)
Reactant Concentration using Reactant Conversion
Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)

17 Important Formulas in Basics of Chemical Reaction Engineering & Forms of Reaction Rate Calculators

Reactant Concentration of Second Order Irreversible Reaction with Equal Reactant Conc using Time
Go Reactant Concentration = 1/((1/(Initial Reactant Concentration))+Rate Constant for Second Order Reaction*Time Interval)
Reactant Concentration of First Order Irreversible Reaction
Go Reactant Concentration = e^(-Rate Constant for First Order Reaction*Time Interval)*Initial Reactant Concentration
Feed Reactant Concentration
Go Concentration of Key Reactant A in the Feed = Molar Feed Rate of Reactant/Volumetric Flow Rate of Feed to Reactor
Reaction Time Interval of Reactor using Reaction Rate
Go Time Interval = Change in Number of Moles/(Reaction Rate*Reactor Volume)
Reactor Volume using Reaction Rate
Go Reactor Volume = Change in Number of Moles/(Reaction Rate*Time Interval)
Reaction Rate in Reactor
Go Reaction Rate = Change in Number of Moles/(Reactor Volume*Time Interval)
Reaction Time Interval of Gas-Solid System using Reaction Rate
Go Time Interval = Change in Number of Moles/(Reaction Rate*Solid Volume)
Reaction Time Interval of Reacting Fluid using Reaction Rate
Go Time Interval = Change in Number of Moles/(Reaction Rate*Fluid Volume)
Reaction Rate based on Volume of Reacting Fluid
Go Reaction Rate = Change in Number of Moles/(Fluid Volume*Time Interval)
Reacting Fluid Volume using Reaction Rate
Go Fluid Volume = Change in Number of Moles/(Reaction Rate*Time Interval)
Reaction Rate in Gas-Solid System
Go Reaction Rate = Change in Number of Moles/(Solid Volume*Time Interval)
Solid Volume using Reaction Rate
Go Solid Volume = Change in Number of Moles/(Reaction Rate*Time Interval)
Number of Moles of Reactant Fed using Reactant Conversion
Go Number of Moles of Reactant-A Fed = Number of Moles of Unreacted Reactant-A/(1-Reactant Conversion)
Reactant Conversion using Number of Moles of Reactant Fed
Go Reactant Conversion = 1-Number of Moles of Unreacted Reactant-A/Number of Moles of Reactant-A Fed
Reactant Conversion using Molar Feed Rate of Reactant
Go Reactant Conversion = 1-Molar Flow Rate of Unreacted Reactant/Molar Feed Rate of Reactant
Reactant Concentration using Reactant Conversion
Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

Reactant Concentration of First Order Irreversible Reaction Formula

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

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 (Co) 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)*Co 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 (Co). 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 4 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)
  • Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!