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Concentration of Product C in First Order Consecutive Reaction Formula

GoConcentration of Product C when k2 much greater than k1 in 1st Order Consecutive Reaction Formula

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Concentration of C at Time t is defined as the amount of substance B present after reacting for a given interval of time t. Check FAQs

[C] = A 0 \cdot (1 - (\frac{1}{k 2 - k 1} \cdot (k 2 \cdot (\exp (- k 1 \cdot t) - k 1 \cdot \exp (- k 2 \cdot t)))))

[C] - Concentration of C at Time t?A₀ - Initial Concentration of Reactant A?k₂ - Rate Constant of Reaction 2?k₁ - Reaction Rate Constant 1?t - Time?

Concentration of Product C in First Order Consecutive Reaction Example

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Here is how the Concentration of Product C in First Order Consecutive Reaction equation looks like with Values.

Here is how the Concentration of Product C in First Order Consecutive Reaction equation looks like with Units.

Here is how the Concentration of Product C in First Order Consecutive Reaction equation looks like.

1.958 = 100 \cdot (1 - (\frac{1}{0.0089 - 5.7E-6} \cdot (0.0089 \cdot (\exp (- 5.7E-6 \cdot 3600) - 5.7E-6 \cdot \exp (- 0.0089 \cdot 3600)))))

1.958mol/L = 100mol/L \cdot (1 - (\frac{1}{0.0089s⁻¹ - 5.7E-6s⁻¹} \cdot (0.0089s⁻¹ \cdot (\exp (- 5.7E-6s⁻¹ \cdot 3600s) - 5.7E-6s⁻¹ \cdot \exp (- 0.0089s⁻¹ \cdot 3600s)))))

1.958 = 100 \cdot (1 - (\frac{1}{0.0089 - 5.7E-6} \cdot (0.0089 \cdot (\exp (- 5.7E-6 \cdot 3600) - 5.7E-6 \cdot \exp (- 0.0089 \cdot 3600)))))

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Concentration of Product C in First Order Consecutive Reaction Solution

Follow our step by step solution on how to calculate Concentration of Product C in First Order Consecutive Reaction?

FIRST Step Consider the formula

[C] = A 0 \cdot (1 - (\frac{1}{k 2 - k 1} \cdot (k 2 \cdot (\exp (- k 1 \cdot t) - k 1 \cdot \exp (- k 2 \cdot t)))))

Next Step Substitute values of Variables

∴

[C] = 100mol/L \cdot (1 - (\frac{1}{0.0089s⁻¹ - 5.7E-6s⁻¹} \cdot (0.0089s⁻¹ \cdot (\exp (- 5.7E-6s⁻¹ \cdot 3600s) - 5.7E-6s⁻¹ \cdot \exp (- 0.0089s⁻¹ \cdot 3600s)))))

Next Step Convert Units

∴

[C] = 100000mol/m³ \cdot (1 - (\frac{1}{0.0089s⁻¹ - 5.7E-6s⁻¹} \cdot (0.0089s⁻¹ \cdot (\exp (- 5.7E-6s⁻¹ \cdot 3600s) - 5.7E-6s⁻¹ \cdot \exp (- 0.0089s⁻¹ \cdot 3600s)))))

Next Step Prepare to Evaluate

∴

[C] = 100000 \cdot (1 - (\frac{1}{0.0089 - 5.7E-6} \cdot (0.0089 \cdot (\exp (- 5.7E-6 \cdot 3600) - 5.7E-6 \cdot \exp (- 0.0089 \cdot 3600)))))

Next Step Evaluate

∴

[C] = 1958.04810214124mol/m³

Next Step Convert to Output's Unit

∴

[C] = 1.95804810214124mol/L

LAST Step Rounding Answer

∴

[C] = 1.958mol/L

Concentration of Product C in First Order Consecutive Reaction Formula Elements

Variables

Functions

Concentration of C at Time t

Concentration of C at Time t is defined as the amount of substance B present after reacting for a given interval of time t.

Symbol: [C]

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Concentration of C at Time t

Initial Concentration of Reactant A

Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant A

Rate Constant of Reaction 2

Rate Constant of Reaction 2 is the proportionality constant relating to the rate of the chemical reaction to the conc. of the reactant or product in chemical reaction 2.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant of Reaction 2

Reaction Rate Constant 1

Reaction Rate Constant 1 is defined as proportionality constant relating to the rate of the chemical reaction to the conc. of reactant or product in reaction 1.

Symbol: k₁

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than -1.

Formulas to find Reaction Rate Constant 1

Time

Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than -1.

Formulas to find Time

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Concentration of C at Time t

Go Concentration of Product C when k2 much greater than k1 in 1st Order Consecutive Reaction

[C] = A 0 \cdot (1 - \exp (- k 1 \cdot t))

Other formulas in Consecutive Reactions category

Go Concentration of Intermediate B in First Order Consecutive Reaction

[B] = A 0 \cdot (\frac{k 1}{k 2 - k 1}) \cdot (\exp (- k 1 \cdot t) - \exp (- k 2 \cdot t))

Go Concentration of Reactant A in First Order Consecutive Reaction

A = A 0 \cdot \exp (- k 1 \cdot t)

Go Maximum Concentration of Intermediate B in First Order Consecutive Reaction

[B] = A 0 \cdot {(\frac{k 2}{k 1})}^{\frac{k 2}{k 1 - k 2}}

Go Transient Eqm- Ratio of B by A when k2 much greater than k1 for 1st Order Consecutive Rxn

R B:A = \frac{k 1}{k 2 - k 1}

How to Evaluate Concentration of Product C in First Order Consecutive Reaction?

Concentration of Product C in First Order Consecutive Reaction evaluator uses Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))) to evaluate the Concentration of C at Time t, The Concentration of Product C in First Order Consecutive Reaction formula is defined as the amount of product C formed from the intermediate B in a consecutive reaction system within the time interval t. Concentration of C at Time t is denoted by [C] symbol.

How to evaluate Concentration of Product C in First Order Consecutive Reaction using this online evaluator? To use this online evaluator for Concentration of Product C in First Order Consecutive Reaction, enter Initial Concentration of Reactant A (A₀), Rate Constant of Reaction 2 (k₂), Reaction Rate Constant 1 (k₁) & Time (t) and hit the calculate button.

FAQs on Concentration of Product C in First Order Consecutive Reaction

What is the formula to find Concentration of Product C in First Order Consecutive Reaction?

The formula of Concentration of Product C in First Order Consecutive Reaction is expressed as Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))). Here is an example- 0.001958 = 100000*(1-(1/(0.0089-5.67E-06)*(0.0089*(exp(-5.67E-06*3600)-5.67E-06*exp(-0.0089*3600))))).

How to calculate Concentration of Product C in First Order Consecutive Reaction?

With Initial Concentration of Reactant A (A₀), Rate Constant of Reaction 2 (k₂), Reaction Rate Constant 1 (k₁) & Time (t) we can find Concentration of Product C in First Order Consecutive Reaction using the formula - Concentration of C at Time t = Initial Concentration of Reactant A*(1-(1/(Rate Constant of Reaction 2-Reaction Rate Constant 1)*(Rate Constant of Reaction 2*(exp(-Reaction Rate Constant 1*Time)-Reaction Rate Constant 1*exp(-Rate Constant of Reaction 2*Time))))). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Concentration of C at Time t?

Here are the different ways to Calculate Concentration of C at Time t-

Concentration of C at Time t=Initial Concentration of Reactant A*(1-exp(-Reaction Rate Constant 1*Time))

Can the Concentration of Product C in First Order Consecutive Reaction be negative?

Yes, the Concentration of Product C in First Order Consecutive Reaction, measured in Molar Concentration can be negative.

Which unit is used to measure Concentration of Product C in First Order Consecutive Reaction?

Concentration of Product C in First Order Consecutive Reaction is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Concentration of Product C in First Order Consecutive Reaction can be measured.

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