Rate Constant for First Order Irreversible Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time
K1st order = -(ln(1-XA))/t
This formula uses 1 Functions, 3 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.
Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Reaction Time - (Measured in Second) - Reaction Time is the time taken to complete a reaction to a certain extent.
STEP 1: Convert Input(s) to Base Unit
Reactant Conversion: 0.8 --> No Conversion Required
Reaction Time: 7.2 Second --> 7.2 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K1st order = -(ln(1-XA))/t --> -(ln(1-0.8))/7.2
Evaluating ... ...
K1st order = 0.223533043393625
STEP 3: Convert Result to Output's Unit
0.223533043393625 1 Per Second --> No Conversion Required
FINAL ANSWER
0.223533043393625 0.223533 1 Per Second <-- Rate Constant for First Order Reaction
(Calculation completed in 00.020 seconds)

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First Order Irreversible Reaction Calculators

Rate Constant for First Order Irreversible Reaction using log10
​ LaTeX ​ Go Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time
Reaction Time for First Order Irreversible Reaction using log10
​ LaTeX ​ Go Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction
Rate Constant for First Order Irreversible Reaction
​ LaTeX ​ Go Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time
Reaction Time for First Order Irreversible Reaction
​ LaTeX ​ Go Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction

Important Formulas in Constant Volume Batch Reactor for First, Second and Third Order Reaction Calculators

Rate Constant for First Order Irreversible Reaction using log10
​ LaTeX ​ Go Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time
Reaction Time for First Order Irreversible Reaction using log10
​ LaTeX ​ Go Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction
Rate Constant for First Order Irreversible Reaction
​ LaTeX ​ Go Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time
Reaction Time for First Order Irreversible Reaction
​ LaTeX ​ Go Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction

Rate Constant for First Order Irreversible Reaction Formula

​LaTeX ​Go
Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time
K1st order = -(ln(1-XA))/t

What is first order reaction?

A chemical reaction in which the rate of reaction is directly proportional to the concentration of the reacting substance.

How to Calculate Rate Constant for First Order Irreversible Reaction?

Rate Constant for First Order Irreversible Reaction calculator uses Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time to calculate the Rate Constant for First Order Reaction, Rate Constant for First Order Irreversible Reaction is defined as the rate of conversion of reactants into products. Rate Constant for First Order Reaction is denoted by K1st order symbol.

How to calculate Rate Constant for First Order Irreversible Reaction using this online calculator? To use this online calculator for Rate Constant for First Order Irreversible Reaction, enter Reactant Conversion (XA) & Reaction Time (t) and hit the calculate button. Here is how the Rate Constant for First Order Irreversible Reaction calculation can be explained with given input values -> 0.223533 = -(ln(1-0.8))/7.2.

FAQ

What is Rate Constant for First Order Irreversible Reaction?
Rate Constant for First Order Irreversible Reaction is defined as the rate of conversion of reactants into products and is represented as K1st order = -(ln(1-XA))/t or Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time. Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1 & Reaction Time is the time taken to complete a reaction to a certain extent.
How to calculate Rate Constant for First Order Irreversible Reaction?
Rate Constant for First Order Irreversible Reaction is defined as the rate of conversion of reactants into products is calculated using Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time. To calculate Rate Constant for First Order Irreversible Reaction, you need Reactant Conversion (XA) & Reaction Time (t). With our tool, you need to enter the respective value for Reactant Conversion & Reaction Time 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 Conversion & Reaction Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time
  • Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time
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