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

STEP 0: Pre-Calculation Summary
Formula Used
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
kf = (ln(xeq/(xeq-x))/t)-kb
This formula uses 1 Functions, 5 Variables
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Concentration of Reactant at Equilibrium: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)
Concentration of Product at Time t: 27.5 Mole per Liter --> 27500 Mole per Cubic Meter (Check conversion here)
Time: 3600 Second --> 3600 Second No Conversion Required
Backward Reaction Rate Constant: 4.18E-05 1 Per Second --> 4.18E-05 1 Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kf = (ln(xeq/(xeq-x))/t)-kb --> (ln(70000/(70000-27500))/3600)-4.18E-05
Evaluating ... ...
kf = 9.68086572552744E-05
STEP 3: Convert Result to Output's Unit
9.68086572552744E-05 1 Per Second --> No Conversion Required
FINAL ANSWER
9.68086572552744E-05 9.7E-5 1 Per Second <-- Forward Reaction Rate Constant
(Calculation completed in 00.004 seconds)

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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))

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

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
kf = (ln(xeq/(xeq-x))/t)-kb

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

Forward Reaction Rate Constant of First Order Opposed by First Order Reaction calculator uses 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 to calculate the Forward Reaction Rate Constant, The Forward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction. Forward Reaction Rate Constant is denoted by kf symbol.

How to calculate Forward Reaction Rate Constant of First Order Opposed by First Order Reaction using this online calculator? To use this online calculator for Forward Reaction Rate Constant of First Order Opposed by First Order Reaction, enter Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Time (t) & Backward Reaction Rate Constant (kb) and hit the calculate button. Here is how the Forward Reaction Rate Constant of First Order Opposed by First Order Reaction calculation can be explained with given input values -> 5.2E-5 = (ln(70000/(70000-27500))/3600)-4.18E-05.

FAQ

What is Forward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Forward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction and is represented as kf = (ln(xeq/(xeq-x))/t)-kb or 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. 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 is defined as the amount of reactant that has been converted into product in a time interval of t, 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 & 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.
How to calculate Forward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Forward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction is calculated using 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. To calculate Forward Reaction Rate Constant of First Order Opposed by First Order Reaction, you need Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Time (t) & Backward Reaction Rate Constant (kb). With our tool, you need to enter the respective value for Concentration of Reactant at Equilibrium, Concentration of Product at Time t, Time & Backward Reaction Rate Constant 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 Forward Reaction Rate Constant?
In this formula, Forward Reaction Rate Constant uses Concentration of Reactant at Equilibrium, Concentration of Product at Time t, Time & Backward Reaction Rate Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
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