Reaction Time for First Order Irreversible Reaction using log10 Calculator

✖Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion [X_A]			+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 [K_{1st order}]			+10% -10%

✖Reaction Time is the time taken to complete a reaction to a certain extent.ⓘ Reaction Time for First Order Irreversible Reaction using log10 [t]

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Formula

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Reaction Time for First Order Irreversible Reaction using log10

Formula

`"t" = -2.303*(log10(1-"X"_{"A"}))/"K"_{"1st order"}`

Example

`"107.3152s"=-2.303*(log10(1-"0.8"))/"0.015s⁻¹"`

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Download Homogeneous Reactions in Ideal Reactors Formula PDF

Reaction Time for First Order Irreversible Reaction using log10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction
t = -2.303*(log10(1-X_A))/K_{1st order}
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Reaction Time - (Measured in Second) - Reaction Time is the time taken to complete a reaction to a certain extent.
Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
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.

STEP 1: Convert Input(s) to Base Unit

Reactant Conversion: 0.8 --> No Conversion Required
Rate Constant for First Order Reaction: 0.015 1 Per Second --> 0.015 1 Per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = -2.303*(log10(1-X_A))/K_{1st order} --> -2.303*(log10(1-0.8))/0.015

Evaluating ... ...

t = 107.315194665723

STEP 3: Convert Result to Output's Unit

107.315194665723 Second --> No Conversion Required

FINAL ANSWER

107.315194665723 ≈ 107.3152 Second <-- Reaction Time

(Calculation completed in 00.004 seconds)

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< 4 First Order Irreversible Reaction Calculators

Rate Constant for First Order Irreversible Reaction using log10

Go Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time

Reaction Time for First Order Irreversible Reaction using log10

Go Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction

Rate Constant for First Order Irreversible Reaction

Go Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time

Reaction Time for First Order Irreversible Reaction

Go Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction

< 14 Important Formulas in Constant Volume Batch Reactor for First, Second & Third Order Reaction Calculators

Reactant Concentration of Third Order Irreversible Reaction

Go Concentration of Reactant A = Reaction Rate/(Rate Constant for Third Order Reaction*Concentration of Reactant B*Concentration of Reactant D)

Rate Constant of Third Order Irreversible Reaction

Go Rate Constant for Third Order Reaction = Reaction Rate/(Concentration of Reactant A*Concentration of Reactant B*Concentration of Reactant D)

Rate Constant of Third Order Irreversible Reaction with Two Equal Reactant Concentrations

Go Rate Constant for Third Order Reaction = Reaction Rate/(Concentration of Reactant A*(Concentration of Reactant B)^2)

Reaction Rate of Third Order Irreversible Reaction with Two Equal Reactant Concentrations

Go Reaction Rate = Rate Constant for Third Order Reaction*Concentration of Reactant A*(Concentration of Reactant B)^2

Reactant Concentration of Second Order Irreversible Reaction

Go Concentration of Reactant A = Reaction Rate/(Concentration of Reactant B*Rate Constant for Second Order Reaction)

Rate Constant of Second Order Irreversible Reaction

Go Rate Constant for Second Order Reaction = Reaction Rate/(Concentration of Reactant A*Concentration of Reactant B)

Reaction Rate of Second Order Irreversible Reaction

Go Reaction Rate = Rate Constant for Second Order Reaction*Concentration of Reactant A*Concentration of Reactant B

Rate Constant for First Order Irreversible Reaction using log10

Go Rate Constant for First Order Reaction = -2.303*(log10(1-Reactant Conversion))/Reaction Time

Reaction Time for First Order Irreversible Reaction using log10

Go Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction

Rate Constant for First Order Irreversible Reaction

Go Rate Constant for First Order Reaction = -(ln(1-Reactant Conversion))/Reaction Time

Reaction Time for First Order Irreversible Reaction

Go Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction

Reactant Concentration of Second Order Irreversible Reaction with Equal Reactant Concentrations

Go Concentration of Reactant A = (Reaction Rate/Rate Constant for Second Order Reaction)^0.5

Rate Constant of Second Order Irreversible Reaction with Equal Reactant Concentrations

Go Rate Constant for Second Order Reaction = Reaction Rate/(Concentration of Reactant A)^2

Reaction Rate of Second Order Irreversible Reaction with Equal Reactant Concentrations

Go Reaction Rate = Rate Constant for Second Order Reaction*(Concentration of Reactant A)^2

Reaction Time for First Order Irreversible Reaction using log10 Formula

Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction
t = -2.303*(log10(1-X_A))/K_{1st order}

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 Reaction Time for First Order Irreversible Reaction using log10?

Reaction Time for First Order Irreversible Reaction using log10 calculator uses Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction to calculate the Reaction Time, The Reaction Time for First Order Irreversible Reaction using log10 formula is defined as the time taken to complete a reaction to a certain extent. Reaction Time is denoted by t symbol.

How to calculate Reaction Time for First Order Irreversible Reaction using log10 using this online calculator? To use this online calculator for Reaction Time for First Order Irreversible Reaction using log10, enter Reactant Conversion (X_A) & Rate Constant for First Order Reaction (K_{1st order}) and hit the calculate button. Here is how the Reaction Time for First Order Irreversible Reaction using log10 calculation can be explained with given input values -> 107.3152 = -2.303*(log10(1-0.8))/0.015.

FAQ

What is Reaction Time for First Order Irreversible Reaction using log10?

The Reaction Time for First Order Irreversible Reaction using log10 formula is defined as the time taken to complete a reaction to a certain extent and is represented as t = -2.303*(log10(1-X_A))/K_{1st order} or Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction. Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1 & The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

How to calculate Reaction Time for First Order Irreversible Reaction using log10?

The Reaction Time for First Order Irreversible Reaction using log10 formula is defined as the time taken to complete a reaction to a certain extent is calculated using Reaction Time = -2.303*(log10(1-Reactant Conversion))/Rate Constant for First Order Reaction. To calculate Reaction Time for First Order Irreversible Reaction using log10, you need Reactant Conversion (X_A) & Rate Constant for First Order Reaction (K_{1st order}). With our tool, you need to enter the respective value for Reactant Conversion & Rate Constant for First Order Reaction 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 Reaction Time?

In this formula, Reaction Time uses Reactant Conversion & Rate Constant for First Order Reaction. We can use 2 other way(s) to calculate the same, which is/are as follows -

Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction
Reaction Time = -(ln(1-Reactant Conversion))/Rate Constant for First Order Reaction

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