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

✖Concentration of Product at Time t is defined as the amount of reactant that has been converted into product in a time interval of t.ⓘ Concentration of Product at Time t [x]			+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%

✖Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.ⓘ Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t [x_eq]

⎘ Copy

👎

Formula

✖

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

Formula

`"x"_{"eq"} = "x"/(1-exp(-("k"_{"f"}+"k"_{"b"})*"t"))`

Example

`"69.7707mol/L"="27.5mol/L"/(1-exp(-("0.0000974s⁻¹"+"0.0000418s⁻¹")*"3600s"))`

Calculator

LaTeX

Reset

👍

Download Complex Reactions Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Concentration of Reactant at Equilibrium - (Measured in Mole per Cubic Meter) - Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.
Concentration of Product at Time t - (Measured in Mole per Cubic Meter) - Concentration of Product at Time t is defined as the amount of reactant that has been converted into product in a time interval of 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 Product at Time t: 27.5 Mole per Liter --> 27500 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

x_eq = x/(1-exp(-(k_f+k_b)*t)) --> 27500/(1-exp(-(9.74E-05+4.18E-05)*3600))

Evaluating ... ...

x_eq = 69770.6974493232

STEP 3: Convert Result to Output's Unit

69770.6974493232 Mole per Cubic Meter -->69.7706974493232 Mole per Liter (Check conversion here)

FINAL ANSWER

69.7706974493232 ≈ 69.7707 Mole per Liter <-- Concentration of Reactant at Equilibrium

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Chemical Kinetics » Complex Reactions » Reversible Reactions » First Order Opposed by First Order Reactions » Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t

Credits

Created by SUDIPTA SAHA

ACHARYA PRAFULLA CHANDRA COLLEGE (APC), KOLKATA

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

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ 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

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))

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))

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))

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

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

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.

How to Calculate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t calculator uses Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)) to calculate the Concentration of Reactant at Equilibrium, The Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t formula is defined as the concentration of the reactant which does not change with respect to time, i.e. it is at a state of chemical equilibrium. At this state, the rate of the forward reaction is equal to the rate of backward reaction. Concentration of Reactant at Equilibrium is denoted by x_eq symbol.

How to calculate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t using this online calculator? To use this online calculator for Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t, enter Concentration of Product at Time t (x), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) and hit the calculate button. Here is how the Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t calculation can be explained with given input values -> 0.050742 = 27500/(1-exp(-(9.74E-05+4.18E-05)*3600)).

FAQ

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

The Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t formula is defined as the concentration of the reactant which does not change with respect to time, i.e. it is at a state of chemical equilibrium. At this state, the rate of the forward reaction is equal to the rate of backward reaction and is represented as x_eq = x/(1-exp(-(k_f+k_b)*t)) or Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). Concentration of Product at Time t is defined as the amount of reactant that has been converted into product in a time interval of 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 Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t?

The Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t formula is defined as the concentration of the reactant which does not change with respect to time, i.e. it is at a state of chemical equilibrium. At this state, the rate of the forward reaction is equal to the rate of backward reaction is calculated using Concentration of Reactant at Equilibrium = Concentration of Product at Time t/(1-exp(-(Forward Reaction Rate Constant+Backward Reaction Rate Constant)*Time)). To calculate Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t, you need Concentration of Product at Time t (x), 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 Product at Time t, 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.

Home

FREE PDFs

🔍 Search