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Time for Completion of First Order Reaction Calculator

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✖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_first]			+10% -10%
✖The Initial Reactant A Concentration refers to the amount of reactant A present in the solvent before the considered process.ⓘ Initial Reactant A Concentration [C_AO]			+10% -10%
✖The Concentration at time t of reactant A is defined as the concentration of reactant A after a certain time interval.ⓘ Concentration at Time t of Reactant A [ax]			+10% -10%

✖The Time for completion is defined as the time required for a complete transformation of reactant into the product.ⓘ Time for Completion of First Order Reaction [t_completion]

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Time for Completion of First Order Reaction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)
t_completion = 2.303/k_first*log10(C_AO/ax)
This formula uses 1 Functions, 4 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

Time for completion - (Measured in Second) - The Time for completion is defined as the time required for a complete transformation of reactant into the product.
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.
Initial Reactant A Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant A Concentration refers to the amount of reactant A present in the solvent before the considered process.
Concentration at Time t of Reactant A - (Measured in Mole per Cubic Meter) - The Concentration at time t of reactant A is defined as the concentration of reactant A after a certain time interval.

STEP 1: Convert Input(s) to Base Unit

Rate Constant for First Order Reaction: 0.520001 1 Per Second --> 0.520001 1 Per Second No Conversion Required
Initial Reactant A Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Concentration at Time t of Reactant A: 8 Mole per Liter --> 8000 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_completion = 2.303/k_first*log10(C_AO/ax) --> 2.303/0.520001*log10(10000/8000)

Evaluating ... ...

t_completion = 0.429198712997771

STEP 3: Convert Result to Output's Unit

0.429198712997771 Second --> No Conversion Required

FINAL ANSWER

0.429198712997771 ≈ 0.429199 Second <-- Time for completion

(Calculation completed in 00.007 seconds)

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< First Order Reaction Calculators

Time for Completion for First Order given Rate Constant and Initial Concentration

LaTeX Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Rate Constant of First Order Reaction using Logarithm to base 10

LaTeX Go Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)

Time for Completion of First Order Reaction

LaTeX Go Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)

Half Time Completion of First Order Reaction

LaTeX Go Half Time = 0.693/Rate Constant for First Order Reaction

Time for Completion of First Order Reaction Formula

LaTeX Go

Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A)
t_completion = 2.303/k_first*log10(C_AO/ax)

What is first order reaction?

In the first-order reaction, the rate of reaction is proportional to the first power of the concentration of the reactant. The concentration of the reactant in the first-order reaction decreases exponentially with time.

How to Calculate Time for Completion of First Order Reaction?

Time for Completion of First Order Reaction calculator uses Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A) to calculate the Time for completion, The Time for completion of first order reaction formula is defined as the total time required to convert the reactant completely into the product. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by rate constant. Time for completion is denoted by t_completion symbol.

How to calculate Time for Completion of First Order Reaction using this online calculator? To use this online calculator for Time for Completion of First Order Reaction, enter Rate Constant for First Order Reaction (k_first), Initial Reactant A Concentration (C_AO) & Concentration at Time t of Reactant A (ax) and hit the calculate button. Here is how the Time for Completion of First Order Reaction calculation can be explained with given input values -> 0.429199 = 2.303/0.520001*log10(10000/8000).

FAQ

What is Time for Completion of First Order Reaction?

The Time for completion of first order reaction formula is defined as the total time required to convert the reactant completely into the product. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by rate constant and is represented as t_completion = 2.303/k_first*log10(C_AO/ax) or Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A). The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant, The Initial Reactant A Concentration refers to the amount of reactant A present in the solvent before the considered process & The Concentration at time t of reactant A is defined as the concentration of reactant A after a certain time interval.

How to calculate Time for Completion of First Order Reaction?

The Time for completion of first order reaction formula is defined as the total time required to convert the reactant completely into the product. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by rate constant is calculated using Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Reactant A Concentration/Concentration at Time t of Reactant A). To calculate Time for Completion of First Order Reaction, you need Rate Constant for First Order Reaction (k_first), Initial Reactant A Concentration (C_AO) & Concentration at Time t of Reactant A (ax). With our tool, you need to enter the respective value for Rate Constant for First Order Reaction, Initial Reactant A Concentration & Concentration at Time t of Reactant A 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 Time for completion?

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

Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Reactant Volume/Volume at Time t)
Time for completion = (2.303/Rate Constant for First Order Reaction)*log10(Initial Concentration for First Order Reaction)-(2.303/Rate Constant for First Order Reaction)*log10(Concentration at Time t)

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