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

GoTime for Completion of First Order Reaction Formula

GoTime for Completion by Titration Method for First Order Reaction Formula

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

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

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

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

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Here is how the Time for Completion for First Order given Rate Constant and Initial Concentration equation looks like with Values.

Here is how the Time for Completion for First Order given Rate Constant and Initial Concentration equation looks like with Units.

Here is how the Time for Completion for First Order given Rate Constant and Initial Concentration equation looks like.

4.3047 = \frac{2.303}{0.52} \cdot \log 10 (\frac{7.5}{0.8})

4.3047s = \frac{2.303}{0.52s⁻¹} \cdot \log 10 (\frac{7.5mol/L}{0.8mol/L})

4.3047 = \frac{2.303}{0.52} \cdot \log 10 (\frac{7.5}{0.8})

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

Follow our step by step solution on how to calculate Time for Completion for First Order given Rate Constant and Initial Concentration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t completion = \frac{2.303}{0.52s⁻¹} \cdot \log 10 (\frac{7.5mol/L}{0.8mol/L})

Next Step Convert Units

∴

t completion = \frac{2.303}{0.52s⁻¹} \cdot \log 10 (\frac{7500mol/m³}{800mol/m³})

Next Step Prepare to Evaluate

∴

t completion = \frac{2.303}{0.52} \cdot \log 10 (\frac{7500}{800})

Next Step Evaluate

∴

t completion = 4.30470297085705s

LAST Step Rounding Answer

∴

t completion = 4.3047s

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

Variables

Functions

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

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

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 Time for completion

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 by Titration Method for First Order Reaction

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

Go Graphical Representation of Time for Completion

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

Other formulas in First Order Reaction category

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

k first = \frac{2.303}{t completion} \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 Rate Constant at Half Time for First Order Reaction

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

Go Average Time of Completion for First Order Reaction

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

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

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

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

What is the formula to find Time for Completion for First Order given Rate Constant and Initial Concentration?

The formula of Time for Completion for First Order given Rate Constant and Initial Concentration is expressed as Time for completion = 2.303/Rate Constant for First Order Reaction*log10(Initial Concentration for First Order Reaction/Concentration at Time t). Here is an example- 4.304703 = 2.303/0.520001*log10(7500/800).

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

With Rate Constant for First Order Reaction (k_first), Initial Concentration for First Order Reaction (A₀) & Concentration at Time t (C_t) we can find Time for Completion for First Order given Rate Constant and Initial Concentration using the formula - Time for completion = 2.303/Rate Constant for First Order Reaction*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 Time for completion?

Here are the different ways to Calculate Time for completion-

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)

Can the Time for Completion for First Order given Rate Constant and Initial Concentration be negative?

Yes, the Time for Completion for First Order given Rate Constant and Initial Concentration, measured in Time can be negative.

Which unit is used to measure Time for Completion for First Order given Rate Constant and Initial Concentration?

Time for Completion for First Order given Rate Constant and Initial Concentration is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time for Completion for First Order given Rate Constant and Initial Concentration can be measured.

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

​GoTime for Completion of First Order Reaction Formula

​GoTime for Completion by Titration Method for First Order Reaction Formula

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

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

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

Other Formulas to find Time for completion

Other formulas in First Order Reaction category

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

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

Variable Name

GoTime for Completion of First Order Reaction Formula

GoTime for Completion by Titration Method for First Order Reaction Formula