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Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Formula

GoTime at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR Formula

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Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved. Check FAQs

τ R,max = \frac{\ln (\frac{k 2}{k I})}{k 2 - k I}

τ_R,max - Time at Maximum Intermediate Concentration?k₂ - Rate Constant for Second Step First Order Reaction?k_I - Rate Constant for First Step First Order Reaction?

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Example

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Here is how the Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series equation looks like with Values.

Here is how the Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series equation looks like with Units.

Here is how the Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series equation looks like.

4.8771 = \frac{\ln (\frac{0.08}{0.42})}{0.08 - 0.42}

4.8771s = \frac{\ln (\frac{0.08s⁻¹}{0.42s⁻¹})}{0.08s⁻¹ - 0.42s⁻¹}

4.8771 = \frac{\ln (\frac{0.08}{0.42})}{0.08 - 0.42}

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Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Solution

Follow our step by step solution on how to calculate Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

FIRST Step Consider the formula

τ R,max = \frac{\ln (\frac{k 2}{k I})}{k 2 - k I}

Next Step Substitute values of Variables

∴

τ R,max = \frac{\ln (\frac{0.08s⁻¹}{0.42s⁻¹})}{0.08s⁻¹ - 0.42s⁻¹}

Next Step Prepare to Evaluate

∴

τ R,max = \frac{\ln (\frac{0.08}{0.42})}{0.08 - 0.42}

Next Step Evaluate

∴

τ R,max = 4.87714140177509s

LAST Step Rounding Answer

∴

τ R,max = 4.8771s

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Formula Elements

Variables

Functions

Time at Maximum Intermediate Concentration

Time at Maximum Intermediate Concentration is the instant of time at which maximum concentration of intermediate is achieved.

Symbol: τ_R,max

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time at Maximum Intermediate Concentration

Rate Constant for Second Step First Order Reaction

Rate Constant for Second Step First Order Reaction is defined as the constant of proportionality for second step reaction in two steps first order irreversible reaction in series.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for Second Step First Order Reaction

Rate Constant for First Step First Order Reaction

Rate Constant for First Step First Order Reaction is defined as the constant of proportionality for first step reaction in two steps first order irreversible reaction in series.

Symbol: k_I

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for First Step First Order Reaction

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Time at Maximum Intermediate Concentration

Go Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR

τ R,max = \frac{1}{\sqrt{k I \cdot k 2}}

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

Go Intermediate Concentration for Two Steps First Order Irreversible Reaction in Series

C R = C A0 \cdot (\frac{k I}{k 2 - k I}) \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))

Go Initial Reactant Concentration for Two Steps First Order Irreversible Reaction in Series

C A0 = \frac{C R \cdot (k 2 - k I)}{k I \cdot (\exp (- k I \cdot τ) - \exp (- k 2 \cdot τ))}

Go Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

C R,max = C A0 \cdot {(\frac{k I}{k 2})}^{\frac{k 2}{k 2 - k I}}

Go Initial Reactant Concentration for First Order Rxn in Series for Maximum Intermediate Concentration

C A0 = \frac{C R,max}{{(\frac{k I}{k 2})}^{\frac{k 2}{k 2 - k I}}}

How to Evaluate Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series evaluator uses Time at Maximum Intermediate Concentration = ln(Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction) to evaluate the Time at Maximum Intermediate Concentration, The Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series formula is defined as the time at which maximum concentration of intermediate is achieved for two steps first order irreversible reaction in series. Time at Maximum Intermediate Concentration is denoted by τ_R,max symbol.

How to evaluate Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series using this online evaluator? To use this online evaluator for Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series, enter Rate Constant for Second Step First Order Reaction (k₂) & Rate Constant for First Step First Order Reaction (k_I) and hit the calculate button.

FAQs on Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

What is the formula to find Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

The formula of Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series is expressed as Time at Maximum Intermediate Concentration = ln(Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction). Here is an example- 4.877141 = ln(0.08/0.42)/(0.08-0.42).

How to calculate Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

With Rate Constant for Second Step First Order Reaction (k₂) & Rate Constant for First Step First Order Reaction (k_I) we can find Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series using the formula - Time at Maximum Intermediate Concentration = ln(Rate Constant for Second Step First Order Reaction/Rate Constant for First Step First Order Reaction)/(Rate Constant for Second Step First Order Reaction-Rate Constant for First Step First Order Reaction). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Time at Maximum Intermediate Concentration?

Here are the different ways to Calculate Time at Maximum Intermediate Concentration-

Time at Maximum Intermediate Concentration=1/sqrt(Rate Constant for First Step First Order Reaction*Rate Constant for Second Step First Order Reaction)

Can the Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series be negative?

No, the Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series, measured in Time cannot be negative.

Which unit is used to measure Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series can be measured.

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Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Formula

​GoTime at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR Formula

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Example

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Solution

Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series Formula Elements

Other Formulas to find Time at Maximum Intermediate Concentration

Other formulas in Important Formulas in Potpourri of Multiple Reactions category

How to Evaluate Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series?

FAQs on Time at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series

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GoTime at Maximum Intermediate Concentration for First Order Irreversible Reaction in Series in MFR Formula