Concentration of Intermediate B in First Order Consecutive Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time))
[B] = A0*(k1/(k2-k1))*(exp(-k1*t)-exp(-k2*t))
This formula uses 1 Functions, 5 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Concentration of B at Time t - (Measured in Mole per Cubic Meter) - Concentration of B at Time t is defined as the amount of substance B present after reacting for a given interval of time t.
Initial Concentration of Reactant A - (Measured in Mole per Cubic Meter) - Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.
Reaction Rate Constant 1 - (Measured in 1 Per Second) - 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.
Rate Constant of Reaction 2 - (Measured in 1 Per Second) - 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.
Time - (Measured in Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion ​here)
Reaction Rate Constant 1: 5.67E-06 1 Per Second --> 5.67E-06 1 Per Second No Conversion Required
Rate Constant of Reaction 2: 0.0089 1 Per Second --> 0.0089 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
[B] = A0*(k1/(k2-k1))*(exp(-k1*t)-exp(-k2*t)) --> 100000*(5.67E-06/(0.0089-5.67E-06))*(exp(-5.67E-06*3600)-exp(-0.0089*3600))
Evaluating ... ...
[B] = 62.4604345236913
STEP 3: Convert Result to Output's Unit
62.4604345236913 Mole per Cubic Meter -->0.0624604345236913 Mole per Liter (Check conversion ​here)
FINAL ANSWER
0.0624604345236913 0.06246 Mole per Liter <-- Concentration of B at Time t
(Calculation completed in 00.004 seconds)

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Consecutive Reactions Calculators

Concentration of Product C in First Order Consecutive Reaction
​ LaTeX ​ Go 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)))))
Concentration of Intermediate B in First Order Consecutive Reaction
​ LaTeX ​ Go Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time))
Maximum Concentration of Intermediate B in First Order Consecutive Reaction
​ LaTeX ​ Go Concentration of B at Time t = Initial Concentration of Reactant A*(Rate Constant of Reaction 2/Reaction Rate Constant 1)^(Rate Constant of Reaction 2/(Reaction Rate Constant 1-Rate Constant of Reaction 2))
Concentration of Reactant A in First Order Consecutive Reaction
​ LaTeX ​ Go Concentration of A at Time t = Initial Concentration of Reactant A*exp(-Reaction Rate Constant 1*Time)

Concentration of Intermediate B in First Order Consecutive Reaction Formula

​LaTeX ​Go
Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time))
[B] = A0*(k1/(k2-k1))*(exp(-k1*t)-exp(-k2*t))

What is a Consecutive Reaction?

Consecutive reactions can also be referred to as complex reactions. Usually the product of the first reaction is called the intermediate. It's a three step reaction, the product of first reactions is the intermediate, and the final step we obtain the desired product.
Another way to define consecutive reaction is that the reaction in which the reactants form intermediates and then these intermediates react to form the final products.
A→B→C
Here A, B and C are the substances.

How to Calculate Concentration of Intermediate B in First Order Consecutive Reaction?

Concentration of Intermediate B in First Order Consecutive Reaction calculator uses Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time)) to calculate the Concentration of B at Time t, The Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the amount of intermediate B that forms from the parent reactant A within the time interval t. Concentration of B at Time t is denoted by [B] symbol.

How to calculate Concentration of Intermediate B in First Order Consecutive Reaction using this online calculator? To use this online calculator for Concentration of Intermediate B in First Order Consecutive Reaction, enter Initial Concentration of Reactant A (A0), Reaction Rate Constant 1 (k1), Rate Constant of Reaction 2 (k2) & Time (t) and hit the calculate button. Here is how the Concentration of Intermediate B in First Order Consecutive Reaction calculation can be explained with given input values -> 6.2E-5 = 100000*(5.67E-06/(0.0089-5.67E-06))*(exp(-5.67E-06*3600)-exp(-0.0089*3600)).

FAQ

What is Concentration of Intermediate B in First Order Consecutive Reaction?
The Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the amount of intermediate B that forms from the parent reactant A within the time interval t and is represented as [B] = A0*(k1/(k2-k1))*(exp(-k1*t)-exp(-k2*t)) or Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time)). Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0, 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, 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 & 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.
How to calculate Concentration of Intermediate B in First Order Consecutive Reaction?
The Concentration of Intermediate B in First Order Consecutive Reaction formula is defined as the amount of intermediate B that forms from the parent reactant A within the time interval t is calculated using Concentration of B at Time t = Initial Concentration of Reactant A*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))*(exp(-Reaction Rate Constant 1*Time)-exp(-Rate Constant of Reaction 2*Time)). To calculate Concentration of Intermediate B in First Order Consecutive Reaction, you need Initial Concentration of Reactant A (A0), Reaction Rate Constant 1 (k1), Rate Constant of Reaction 2 (k2) & Time (t). With our tool, you need to enter the respective value for Initial Concentration of Reactant A, Reaction Rate Constant 1, Rate Constant of Reaction 2 & Time 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 Concentration of B at Time t?
In this formula, Concentration of B at Time t uses Initial Concentration of Reactant A, Reaction Rate Constant 1, Rate Constant of Reaction 2 & Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Concentration of B at Time t = Initial Concentration of Reactant A*(Rate Constant of Reaction 2/Reaction Rate Constant 1)^(Rate Constant of Reaction 2/(Reaction Rate Constant 1-Rate Constant of Reaction 2))
  • Concentration of B at Time t = Concentration of A at Time t*(Reaction Rate Constant 1/(Rate Constant of Reaction 2-Reaction Rate Constant 1))
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