Product Concentration given Initial Concentration of Reactant 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 B is defined as the amount of substance B present after reacting for a given interval of time t.ⓘ Product Concentration given Initial Concentration of Reactant [B]

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Product Concentration given Initial Concentration of Reactant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
B = ((A₀*k_f)/(k_f+k_b))*(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 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.
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

B = ((A₀*k_f)/(k_f+k_b))*(1-exp(-(k_f+k_b)*t)) --> ((100000*9.74E-05)/(9.74E-05+4.18E-05))*(1-exp(-(9.74E-05+4.18E-05)*3600))

Evaluating ... ...

B = 27579.0531048161

STEP 3: Convert Result to Output's Unit

27579.0531048161 Mole per Cubic Meter -->27.5790531048161 Mole per Liter (Check conversion here)

FINAL ANSWER

27.5790531048161 ≈ 27.57905 Mole per Liter <-- Concentration of B

(Calculation completed in 00.007 seconds)

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

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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))

Product Concentration given Initial Concentration of Reactant 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 Product Concentration given Initial Concentration of Reactant?

Product Concentration given Initial Concentration of Reactant calculator uses 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)) to calculate the Concentration of B, The Product Concentration given Initial Concentration of Reactant formula is defined as the concentration of product formed at the time t. Concentration of B is denoted by B symbol.

How to calculate Product Concentration given Initial Concentration of Reactant using this online calculator? To use this online calculator for Product Concentration given Initial Concentration of Reactant, 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 Product Concentration given Initial Concentration of Reactant calculation can be explained with given input values -> 0.027579 = ((100000*9.74E-05)/(9.74E-05+4.18E-05))*(1-exp(-(9.74E-05+4.18E-05)*3600)).

FAQ

What is Product Concentration given Initial Concentration of Reactant?

The Product Concentration given Initial Concentration of Reactant formula is defined as the concentration of product formed at the time t and is represented as B = ((A₀*k_f)/(k_f+k_b))*(1-exp(-(k_f+k_b)*t)) or 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)). 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 Product Concentration given Initial Concentration of Reactant?

The Product Concentration given Initial Concentration of Reactant formula is defined as the concentration of product formed at the time t is calculated using 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)). To calculate Product Concentration given Initial Concentration of Reactant, 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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