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Time for Completion for First Order given Rate Constant and Initial Concentration 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 Concentration for First Order Reaction is the amount of reactant present before the start of the reaction.ⓘ Initial Concentration for First Order Reaction [A₀]			+10% -10%
✖The Concentration at Time t is the amount of species formed or reacted in that particular time.ⓘ Concentration at Time t [C_t]			+10% -10%

✖The Time for completion is defined as the time required for a complete transformation of reactant into the product.ⓘ Time for Completion for First Order given Rate Constant and Initial Concentration [t_completion]

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

STEP 0: Pre-Calculation Summary

Formula Used

Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
t_completion = 2.303/k_first*log10(A₀/C_t)
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 Concentration for First Order Reaction - (Measured in Mole per Cubic Meter) - The Initial Concentration for First Order Reaction is the amount of reactant present before the start of the reaction.
Concentration at Time t - (Measured in Mole per Cubic Meter) - The Concentration at Time t is the amount of species formed or reacted in that particular time.

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 Concentration for First Order Reaction: 7.5 Mole per Liter --> 7500 Mole per Cubic Meter (Check conversion here)
Concentration at Time t: 0.8 Mole per Liter --> 800 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_completion = 2.303/k_first*log10(A₀/C_t) --> 2.303/0.520001*log10(7500/800)

Evaluating ... ...

t_completion = 4.30470297085705

STEP 3: Convert Result to Output's Unit

4.30470297085705 Second --> No Conversion Required

FINAL ANSWER

4.30470297085705 ≈ 4.304703 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 for First Order given Rate Constant and Initial Concentration Formula

LaTeX Go

Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
t_completion = 2.303/k_first*log10(A₀/C_t)

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 for First Order given Rate Constant and Initial Concentration?

Time for Completion for First Order given Rate Constant and Initial Concentration calculator uses Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t) to calculate the Time for completion, The Time for completion for first order given rate constant and initial concentration 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 for First Order given Rate Constant and Initial Concentration using this online calculator? To use this online calculator for Time for Completion for First Order given Rate Constant and Initial Concentration, enter Rate Constant for First Order Reaction (k_first), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t) and hit the calculate button. Here is how the Time for Completion for First Order given Rate Constant and Initial Concentration calculation can be explained with given input values -> 4.304703 = 2.303/0.520001*log10(7500/800).

FAQ

What is Time for Completion for First Order given Rate Constant and Initial Concentration?

The Time for completion for first order given rate constant and initial concentration 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(A₀/C_t) or Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t). The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant, The Initial Concentration for First Order Reaction is the amount of reactant present before the start of the reaction & The Concentration at Time t is the amount of species formed or reacted in that particular time.

How to calculate Time for Completion for First Order given Rate Constant and Initial Concentration?

The Time for completion for first order given rate constant and initial concentration 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 Concentration for First Order Reaction/Concentration at Time t). To calculate Time for Completion for First Order given Rate Constant and Initial Concentration, you need Rate Constant for First Order Reaction (k_first), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t). With our tool, you need to enter the respective value for Rate Constant for First Order Reaction, Initial Concentration for First Order Reaction & Concentration at Time t 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 Concentration for First Order Reaction & Concentration at Time t. 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 Reactant A Concentration/Concentration at Time t of Reactant A)
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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