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

GoRate Constant at Half Time for First Order Reaction Formula

GoRate Constant by Titration Method for First Order Reaction Formula

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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. Check FAQs

k first = \frac{2.303}{t completion} \cdot \log 10 (\frac{A 0}{C t})

k_first - Rate Constant for First Order Reaction?t_completion - Time for completion?A₀ - Initial Concentration for First Order Reaction?C_t - Concentration at Time t?

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

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Here is how the Rate Constant of First Order Reaction using Logarithm to base 10 equation looks like with Values.

Here is how the Rate Constant of First Order Reaction using Logarithm to base 10 equation looks like with Units.

Here is how the Rate Constant of First Order Reaction using Logarithm to base 10 equation looks like.

0.5206 = \frac{2.303}{4.3} \cdot \log 10 (\frac{7.5}{0.8})

0.5206s⁻¹ = \frac{2.303}{4.3s} \cdot \log 10 (\frac{7.5mol/L}{0.8mol/L})

0.5206 = \frac{2.303}{4.3} \cdot \log 10 (\frac{7.5}{0.8})

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

Follow our step by step solution on how to calculate Rate Constant of First Order Reaction using Logarithm to base 10?

FIRST Step Consider the formula

k first = \frac{2.303}{t completion} \cdot \log 10 (\frac{A 0}{C t})

Next Step Substitute values of Variables

∴

k first = \frac{2.303}{4.3s} \cdot \log 10 (\frac{7.5mol/L}{0.8mol/L})

Next Step Convert Units

∴

k first = \frac{2.303}{4.3s} \cdot \log 10 (\frac{7500mol/m³}{800mol/m³})

Next Step Prepare to Evaluate

∴

k first = \frac{2.303}{4.3} \cdot \log 10 (\frac{7500}{800})

Next Step Evaluate

∴

k first = 0.520569732453172s⁻¹

LAST Step Rounding Answer

∴

k first = 0.5206s⁻¹

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

Variables

Functions

Rate Constant for First Order Reaction

The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.

Symbol: k_first

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for First Order Reaction

Time for completion

The Time for completion is defined as the time required for a complete transformation of reactant into the product.

Symbol: t_completion

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time for completion

Initial Concentration for First Order Reaction

The Initial Concentration for First Order Reaction is the amount of reactant present before the start of the reaction.

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Initial Concentration for First Order Reaction

Concentration at Time t

The Concentration at Time t is the amount of species formed or reacted in that particular time.

Symbol: C_t

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Concentration at Time t

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.

Syntax: log10(Number)

Other Formulas to find Rate Constant for First Order Reaction

Go Rate Constant at Half Time for First Order Reaction

k first = \frac{0.693}{t 1/2}

Go Rate Constant by Titration Method for First Order Reaction

k first = (\frac{2.303}{t completion}) \cdot \log 10 (\frac{V 0}{V t})

Go Rate constant given average time

k first = \frac{1}{t avg}

Go Rate Constant for First Order Reaction from Arrhenius Equation

k first = A factor-firstorder \cdot \exp (- \frac{E a1}{[R] \cdot T FirstOrder})

Other formulas in First Order Reaction category

Go Time for Completion of First Order Reaction

t completion = \frac{2.303}{k first} \cdot \log 10 (\frac{C AO}{ax})

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

t completion = \frac{2.303}{k first} \cdot \log 10 (\frac{A 0}{C t})

Go Half Time Completion of First Order Reaction

t 1/2 = \frac{0.693}{k first}

Go Average Time of Completion for First Order Reaction

t avg = \frac{1}{k first}

How to Evaluate Rate Constant of First Order Reaction using Logarithm to base 10?

Rate Constant of First Order Reaction using Logarithm to base 10 evaluator uses Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t) to evaluate 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 evaluate Rate Constant of First Order Reaction using Logarithm to base 10 using this online evaluator? To use this online evaluator 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.

FAQs on Rate Constant of First Order Reaction using Logarithm to base 10

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

The formula of Rate Constant of First Order Reaction using Logarithm to base 10 is expressed as Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t). Here is an example- 0.223845 = 2.303/4.3*log10(7500/800).

How to calculate Rate Constant of First Order Reaction using Logarithm to base 10?

With Time for completion (t_completion), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t) we can find Rate Constant of First Order Reaction using Logarithm to base 10 using the formula - Rate Constant for First Order Reaction = 2.303/Time for completion*log10(Initial Concentration for First Order Reaction/Concentration at Time t). This formula also uses Common Logarithm (log10) function(s).

What are the other ways to Calculate Rate Constant for First Order Reaction?

Here are the different ways to Calculate Rate Constant for First Order Reaction-

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

Can the Rate Constant of First Order Reaction using Logarithm to base 10 be negative?

Yes, the Rate Constant of First Order Reaction using Logarithm to base 10, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant of First Order Reaction using Logarithm to base 10?

Rate Constant of First Order Reaction using Logarithm to base 10 is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant of First Order Reaction using Logarithm to base 10 can be measured.

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

​GoRate Constant at Half Time for First Order Reaction Formula

​GoRate Constant by Titration Method for First Order Reaction Formula

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

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

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

Other Formulas to find Rate Constant for First Order Reaction

Other formulas in First Order Reaction category

How to Evaluate Rate Constant of First Order Reaction using Logarithm to base 10?

FAQs on Rate Constant of First Order Reaction using Logarithm to base 10

Variable Name

GoRate Constant at Half Time for First Order Reaction Formula

GoRate Constant by Titration Method for First Order Reaction Formula