Rate Constant of First Order Reaction using Logarithm to base 10 Calculator

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First Order Reaction

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Temperature Coefficient

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Zero Order Reaction

✖The Time for completion is defined as the time required for a complete transformation of reactant into the product.ⓘ Time for completion [t_completion]			+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 Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.ⓘ Rate Constant of First Order Reaction using Logarithm to base 10 [k_first]

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Formula

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Rate Constant of First Order Reaction using Logarithm to base 10

Formula

`"k"_{"first"} = 2.303/"t"_{"completion"}*log10("A"_{"0"}/"C"_{"t"})`

Example

`"0.52057s⁻¹"=2.303/"4.3s"*log10("7.5mol/L"/"0.8mol/L")`

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Rate Constant of First Order Reaction using Logarithm to base 10 Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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 for completion - (Measured in Second) - The Time for completion is defined as the time required for a complete transformation of reactant into the product.
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

Time for completion: 4.3 Second --> 4.3 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

k_first = 2.303/t_completion*log10(A₀/C_t) --> 2.303/4.3*log10(7500/800)

Evaluating ... ...

k_first = 0.520569732453172

STEP 3: Convert Result to Output's Unit

0.520569732453172 1 Per Second --> No Conversion Required

FINAL ANSWER

0.520569732453172 ≈ 0.52057 1 Per Second <-- Rate Constant for First Order Reaction

(Calculation completed in 00.004 seconds)

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< 18 First Order Reaction Calculators

Graphical Representation of Time for Completion

Go 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)

Temperature in Arrhenius Equation for First Order Reaction

Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))

Rate Constant for First Order Reaction from Arrhenius Equation

Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Arrhenius Constant for First Order Reaction

Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))

Activation Energy for First Order Reaction

Go Energy of Activation = [R]*Temperature of Gas*(ln(Frequency Factor from Arrhenius Equation/Rate Constant for First Order Reaction))

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

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

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

Go 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 by Titration Method for First Order Reaction

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

Rate Constant by Titration Method for First Order Reaction

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

Relaxation Time of Reversible First Order

Go Relaxation Time of Reversible First Order = 1/(Forward Rate Constant+Rate Constant of Backward First Order)

Quarter Life of First Order Reaction

Go Quarter Life of First Order Reaction = ln(4)/Rate Constant for First Order Reaction

Rate Constant at Half Time for First Order Reaction

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

Half Time Completion of First Order Reaction

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

Average Time of Completion for First Order Reaction

Go Average time = 1/Rate Constant for First Order Reaction

Rate constant given average time

Go Rate Constant for First Order Reaction = 1/Average time

Half Time for Completion given Average Time

Go Half Time = Average time/1.44

Average Time of Completion given Half Time

Go Average time = 1.44*Half Time

Rate Constant of First Order Reaction using Logarithm to base 10 Formula

Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t)
k_first = 2.303/t_completion*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 Rate Constant of First Order Reaction using Logarithm to base 10?

Rate Constant of First Order Reaction using Logarithm to base 10 calculator uses Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t) to calculate the Rate Constant for First Order Reaction, The Rate Constant of First Order Reaction using Logarithm to base 10 formula is defined as the rate of the reaction per concentration of the reactant. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by the time required for the completion of the reaction. Rate Constant for First Order Reaction is denoted by k_first symbol.

How to calculate Rate Constant of First Order Reaction using Logarithm to base 10 using this online calculator? To use this online calculator for Rate Constant of First Order Reaction using Logarithm to base 10, enter Time for completion (t_completion), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t) and hit the calculate button. Here is how the Rate Constant of First Order Reaction using Logarithm to base 10 calculation can be explained with given input values -> 0.223845 = 2.303/4.3*log10(7500/800).

FAQ

What is Rate Constant of First Order Reaction using Logarithm to base 10?

The Rate Constant of First Order Reaction using Logarithm to base 10 formula is defined as the rate of the reaction per concentration of the reactant. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by the time required for the completion of the reaction and is represented as k_first = 2.303/t_completion*log10(A₀/C_t) or Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t). The Time for completion is defined as the time required for a complete transformation of reactant into the product, 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 Rate Constant of First Order Reaction using Logarithm to base 10?

The Rate Constant of First Order Reaction using Logarithm to base 10 formula is defined as the rate of the reaction per concentration of the reactant. The formula is the logarithm to the base 10 of initial concentration per concentration at the time t, the whole is divided by the time required for the completion of the reaction is calculated using Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t). To calculate Rate Constant of First Order Reaction using Logarithm to base 10, you need Time for completion (t_completion), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t). With our tool, you need to enter the respective value for Time for completion, 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 Rate Constant for First Order Reaction?

In this formula, Rate Constant for First Order Reaction uses Time for completion, Initial Concentration for First Order Reaction & Concentration at Time t. We can use 4 other way(s) to calculate the same, which is/are as follows -

Rate Constant for First Order Reaction = 0.693/Half Time
Rate Constant for First Order Reaction = (2.303/Time for completion)*log10(Initial Reactant Volume/Volume at Time t)
Rate Constant for First Order Reaction = 1/Average time
Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))

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