Initial Concentration of Reactant given Concentration of Product Calculator

✖Concentration of B is defined as the amount of substance B present after reacting for a given interval of time t.ⓘ Concentration of B [B]			+10% -10%
✖Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.ⓘ Forward Reaction Rate Constant [k_f]			+10% -10%
✖Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward direction.ⓘ Backward Reaction Rate Constant [k_b]			+10% -10%
✖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.ⓘ Time [t]			+10% -10%

✖Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.ⓘ Initial Concentration of Reactant given Concentration of Product [A₀]

⎘ Copy

👎

Formula

✖

Initial Concentration of Reactant given Concentration of Product

Formula

`"A"_{"0"} = "B"*(("k"_{"f"}+"k"_{"b"})/"k"_{"f"})*(1/(1-exp(-("k"_{"f"}+"k"_{"b"})*"t")))`

Example

`"36.2594mol/L"="10mol/L"*(("0.0000974s⁻¹"+"0.0000418s⁻¹")/"0.0000974s⁻¹")*(1/(1-exp(-("0.0000974s⁻¹"+"0.0000418s⁻¹")*"3600s")))`

Calculator

LaTeX

Reset

👍

Download Complex Reactions Formula PDF

Initial Concentration of Reactant given Concentration of Product Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)))
A₀ = B*((k_f+k_b)/k_f)*(1/(1-exp(-(k_f+k_b)*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

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.
Concentration of B - (Measured in Mole per Cubic Meter) - Concentration of B is defined as the amount of substance B present after reacting for a given interval of time t.
Forward Reaction Rate Constant - (Measured in 1 Per Second) - Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.
Backward Reaction Rate Constant - (Measured in 1 Per Second) - Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward direction.
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

Concentration of B: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
Backward Reaction Rate Constant: 4.18E-05 1 Per Second --> 4.18E-05 1 Per Second No Conversion Required
Time: 3600 Second --> 3600 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₀ = B*((k_f+k_b)/k_f)*(1/(1-exp(-(k_f+k_b)*t))) --> 10000*((9.74E-05+4.18E-05)/9.74E-05)*(1/(1-exp(-(9.74E-05+4.18E-05)*3600)))

Evaluating ... ...

A₀ = 36259.4029678768

STEP 3: Convert Result to Output's Unit

36259.4029678768 Mole per Cubic Meter -->36.2594029678768 Mole per Liter (Check conversion here)

FINAL ANSWER

36.2594029678768 ≈ 36.2594 Mole per Liter <-- Initial Concentration of Reactant A

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Chemical Kinetics » Complex Reactions » Reversible Reactions » First Order Opposed by First Order Reactions » Initial Concentration of Reactant given Concentration of Product

Credits

Created by SUDIPTA SAHA

ACHARYA PRAFULLA CHANDRA COLLEGE (APC), KOLKATA

SUDIPTA SAHA has created this Calculator and 100+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 800+ more calculators!

< 17 First Order Opposed by First Order Reactions Calculators

Reactant Concentration at given Time t

Go Concentration of A at Time t = Initial Concentration of Reactant A*(Forward Reaction Rate Constant/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*((Backward Reaction Rate Constant/Forward Reaction Rate Constant)+exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Initial Concentration of Reactant A given Initial Concentration of B greater than 0

Go Initial Concentration of Reactant A = (Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)*((1/Forward Reaction Rate Constant)*(1/Time)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))-Initial Concentration of Reactant B

Time taken for Completion of Reaction given Product Concentration

Go Time = (1/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*ln(Initial Concentration of Reactant A*Forward Reaction Rate Constant/(Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of B)- Backward Reaction Rate Constant*Concentration of B))

Forward Reaction Rate Constant when Initial B Concentration greater than 0

Go Forward Reaction Rate Constant = 1/Time*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))*((Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A+Initial Concentration of Reactant B))

Time taken when Initial Concentration of Reactant B greater than 0

Go Time = 1/Forward Reaction Rate Constant*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))*((Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A+Initial Concentration of Reactant B))

Product Conc for 1st Order Opposed by 1st Order Rxn given Initial Conc of B greater than 0

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*((Initial Concentration of Reactant A+Initial Concentration of Reactant B)/(Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium))*Time))

Initial Concentration of Reactant given Concentration of Product

Go Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)))

Product Concentration given Initial Concentration of Reactant

Go Concentration of B = ((Initial Concentration of Reactant A*Forward Reaction Rate Constant)/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant

Go Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/Initial Concentration of Reactant A)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))

Time taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant

Go Time = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/Initial Concentration of Reactant A)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))

Initial Concentration of Reactant for First Order Opposed by First Order Reaction

Go Initial Concentration of Reactant A = (1/(Time*Forward Reaction Rate Constant))*Concentration of Reactant at Equilibrium*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))

Backward Reaction Rate Constant of First Order Opposed by First Order Reaction

Go Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time taken for Backward Reaction)-Forward Reaction Rate Constant

Product Conc of First Order Opposed by First Order Reaction given Initial Conc of Reactant

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-Forward Reaction Rate Constant*Time*(Initial Concentration of Reactant A/Concentration of Reactant at Equilibrium)))

Forward Reaction Rate Constant of First Order Opposed by First Order Reaction

Go Forward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Backward Reaction Rate Constant

Time taken for 1st Order Opposed by 1st Order Reaction

Go Time = ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant)

Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t

Go Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t

Go Concentration of Product at Time t = Concentration of Reactant at Equilibrium*(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))

Initial Concentration of Reactant given Concentration of Product Formula

What is an Opposing Reaction?

Opposing reactions or reversible reactions are those in which both forward and backward reaction takes place simultaneously. To start with, the rate of forward reaction is very large and it decreases as reactant concentration decreases with time. Similarly, initially the rate of backward reaction is slow and it increases as product concentration increases with time. The state at which the rate of forward reaction equals the rate of backward reaction is called the equilibrium state. Thus, equilibrium is a dynamic equilibrium where all the participants of a reaction are being formed as fast as they are being destroyed and hence no further change in the various concentrations is observed.

What are the classifications of Opposing Reactions?

A reversible reaction may be classified on the basis of orders of elementary forward and backward reactions. We describe below a few reversible reactions classified accordingly:
1. First Order Opposed by First Order Reaction
2. First Order Opposed by Second Order Reaction
3. Second Order Opposed by First Order Reaction
4. Second Order Opposed by Second Order Reaction.

How to Calculate Initial Concentration of Reactant given Concentration of Product?

Initial Concentration of Reactant given Concentration of Product calculator uses Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))) to calculate the Initial Concentration of Reactant A, The Initial Concentration of Reactant given Concentration of Product formula is defined as the amount of reactant present in the reaction system when time t=0. Initial Concentration of Reactant A is denoted by A₀ symbol.

How to calculate Initial Concentration of Reactant given Concentration of Product using this online calculator? To use this online calculator for Initial Concentration of Reactant given Concentration of Product, enter Concentration of B (B), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) and hit the calculate button. Here is how the Initial Concentration of Reactant given Concentration of Product calculation can be explained with given input values -> 0.036259 = 10000*((9.74E-05+4.18E-05)/9.74E-05)*(1/(1-exp(-(9.74E-05+4.18E-05)*3600))).

FAQ

What is Initial Concentration of Reactant given Concentration of Product?

The Initial Concentration of Reactant given Concentration of Product formula is defined as the amount of reactant present in the reaction system when time t=0 and is represented as A₀ = B*((k_f+k_b)/k_f)*(1/(1-exp(-(k_f+k_b)*t))) or Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))). Concentration of B is defined as the amount of substance B present after reacting for a given interval of time t, Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction, Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward direction & 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 Initial Concentration of Reactant given Concentration of Product?

The Initial Concentration of Reactant given Concentration of Product formula is defined as the amount of reactant present in the reaction system when time t=0 is calculated using Initial Concentration of Reactant A = Concentration of B*((Forward Reaction Rate Constant+Backward Reaction Rate Constant)/Forward Reaction Rate Constant)*(1/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time))). To calculate Initial Concentration of Reactant given Concentration of Product, you need Concentration of B (B), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t). With our tool, you need to enter the respective value for Concentration of B, Forward Reaction Rate Constant, Backward Reaction Rate Constant & 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 Initial Concentration of Reactant A?

In this formula, Initial Concentration of Reactant A uses Concentration of B, Forward Reaction Rate Constant, Backward Reaction Rate Constant & Time. We can use 2 other way(s) to calculate the same, which is/are as follows -

Initial Concentration of Reactant A = (1/(Time*Forward Reaction Rate Constant))*Concentration of Reactant at Equilibrium*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))
Initial Concentration of Reactant A = (Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)*((1/Forward Reaction Rate Constant)*(1/Time)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))-Initial Concentration of Reactant B

Home

FREE PDFs

🔍 Search