Reactant Concentration at given Time t Calculator

✖Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.ⓘ Initial Concentration of Reactant A [A₀]			+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 A at Time t is defined as the amount of substance A present after reacting for a given interval of time t.ⓘ Reactant Concentration at given Time t [A]

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Reactant Concentration at given Time t Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A = A₀*(k_f/(k_f+k_b))*((k_b/k_f)+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 A at Time t - (Measured in Mole per Cubic Meter) - Concentration of A at Time t is defined as the amount of substance A 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.
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

Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 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

A = A₀*(k_f/(k_f+k_b))*((k_b/k_f)+exp(-(k_f+k_b)*t)) --> 100000*(9.74E-05/(9.74E-05+4.18E-05))*((4.18E-05/9.74E-05)+exp(-(9.74E-05+4.18E-05)*3600))

Evaluating ... ...

A = 72420.9468951839

STEP 3: Convert Result to Output's Unit

72420.9468951839 Mole per Cubic Meter -->72.4209468951839 Mole per Liter (Check conversion here)

FINAL ANSWER

72.4209468951839 ≈ 72.42095 Mole per Liter <-- Concentration of A at Time t

(Calculation completed in 00.020 seconds)

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

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< First Order Opposed by First Order Reactions Calculators

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

LaTeX 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

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

LaTeX 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

LaTeX 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)

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

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

< Important Formulas on Reversible Reaction Calculators

Reactant Concentration at given Time t

LaTeX 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))

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

LaTeX 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))

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

LaTeX 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)))

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

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

Reactant Concentration at given Time t Formula

LaTeX Go

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 Reactant Concentration at given Time t?

Reactant Concentration at given Time t calculator uses 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)) to calculate the Concentration of A at Time t, The Reactant Concentration at given Time t formula is defined as the amount of reactant that has not yet reacted after a given interval of time t. Concentration of A at Time t is denoted by A symbol.

How to calculate Reactant Concentration at given Time t using this online calculator? To use this online calculator for Reactant Concentration at given Time t, enter Initial Concentration of Reactant A (A₀), Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b) & Time (t) and hit the calculate button. Here is how the Reactant Concentration at given Time t calculation can be explained with given input values -> 0.072421 = 100000*(9.74E-05/(9.74E-05+4.18E-05))*((4.18E-05/9.74E-05)+exp(-(9.74E-05+4.18E-05)*3600)).

FAQ

What is Reactant Concentration at given Time t?

The Reactant Concentration at given Time t formula is defined as the amount of reactant that has not yet reacted after a given interval of time t and is represented as A = A₀*(k_f/(k_f+k_b))*((k_b/k_f)+exp(-(k_f+k_b)*t)) or 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 is defined as the concentration of the reactant A at time t=0, 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 Reactant Concentration at given Time t?

The Reactant Concentration at given Time t formula is defined as the amount of reactant that has not yet reacted after a given interval of time t is calculated using 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)). To calculate Reactant Concentration at given Time t, you need Initial Concentration of Reactant A (A₀), 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 Initial Concentration of Reactant A, 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.

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