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

STEP 0: Pre-Calculation Summary
Formula Used
Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward Reaction Rate Constant
Kb = (ln(xeqm/(xeqm-x))/t)-Kf
This formula uses 1 Functions, 5 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
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.
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.
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.
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: 20 Mole per Liter --> 20000 Mole per Cubic Meter (Check conversion here)
Time: 3600 Second --> 3600 Second No Conversion Required
Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kb = (ln(xeqm/(xeqm-x))/t)-Kf --> (ln(70000/(70000-20000))/3600)-9.74E-05
Evaluating ... ...
Kb = -3.93548982744086E-06
STEP 3: Convert Result to Output's Unit
-3.93548982744086E-06 1 Per Second --> No Conversion Required
FINAL ANSWER
-3.93548982744086E-06 1 Per Second <-- Backward Reaction Rate Constant
(Calculation completed in 00.029 seconds)

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Initial Conc. of Reactant for 1st Order Opposed by 1st Order Rxn. given Conc. of Product

Initial Conc. of Reactant for 1st Order Opposed by 1st Order Rxn. given Conc. 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
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)))
Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant

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

Formula
`"t" = (1/"K"_{"f"})*("x"_{"eqm"}/"A"_{"0"})*ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))`

Example
`"2418.178s"=(1/"0.0000974s⁻¹")*("70mol/L"/"100mol/L")*ln("70mol/L"/("70mol/L"-"20mol/L"))`

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

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

Formula
`"K"_{"f"} = (1/"t")*("x"_{"eqm"}/"A"_{"0"})*ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))`

Example
`"6.5E^-5s⁻¹"=(1/"3600s")*("70mol/L"/"100mol/L")*ln("70mol/L"/("70mol/L"-"20mol/L"))`

Calculator
LaTeX
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))
Initial Concentration of Reactant for First Order Opposed by First Order Reaction

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

Formula
`"A"_{"0"} = (1/("t"*"K"_{"f"}))*"x"_{"eqm"}*ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))`

Example
`"67.17162mol/L"=(1/("3600s"*"0.0000974s⁻¹"))*"70mol/L"*ln("70mol/L"/("70mol/L"-"20mol/L"))`

Calculator
LaTeX
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))
Product Conc. of First Order Opposed by First Order Reaction given Initial Conc. of Reactant

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

Formula
`"x" = "x"_{"eqm"}*(1-exp(-"K"_{"f"}*"t"*("A"_{"0"}/"x"_{"eqm"})))`

Example
`"27.58165mol/L"="70mol/L"*(1-exp(-"0.0000974s⁻¹"*"3600s"*("100mol/L"/"70mol/L")))`

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

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

Formula
`"K"_{"b"} = (ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))/"t")-"K"_{"f"}`

Example
`"-3.9E^-6s⁻¹"=(ln("70mol/L"/("70mol/L"-"20mol/L"))/"3600s")-"0.0000974s⁻¹"`

Calculator
LaTeX
Go Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward Reaction Rate Constant
Forward Reaction Rate Constant of First Order Opposed by First Order Reaction

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

Formula
`"K"_{"f"} = (ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))/"t")-"K"_{"b"}`

Example
`"5.2E^-5s⁻¹"=(ln("70mol/L"/("70mol/L"-"20mol/L"))/"3600s")-"0.0000418s⁻¹"`

Calculator
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 First Order Opposed by First Order Reaction

Time taken for First Order Opposed by First Order Reaction

Formula
`"t" = ln("x"_{"eqm"}/("x"_{"eqm"}-"x"))/("K"_{"f"}+"K"_{"b"})`

Example
`"2417.186s"=ln("70mol/L"/("70mol/L"-"20mol/L"))/("0.0000974s⁻¹"+"0.0000418s⁻¹")`

Calculator
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)
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

Formula
`"x"_{"eqm"} = "x"/(1-exp(-("K"_{"f"}+"K"_{"b"})*"t"))`

Example
`"50.74233mol/L"="20mol/L"/(1-exp(-("0.0000974s⁻¹"+"0.0000418s⁻¹")*"3600s"))`

Calculator
LaTeX
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 First Order Opposed by First Order Reaction at given Time t

Product Concentration of First Order Opposed by First Order Reaction at given Time t

Formula
`"x" = "x"_{"eqm"}*(1-exp(-("K"_{"f"}+"K"_{"b"})*"t"))`

Example
`"27.59038mol/L"="70mol/L"*(1-exp(-("0.0000974s⁻¹"+"0.0000418s⁻¹")*"3600s"))`

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

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

Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward Reaction Rate Constant
Kb = (ln(xeqm/(xeqm-x))/t)-Kf

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

Backward Reaction Rate Constant of First Order Opposed by First Order Reaction calculator uses Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward Reaction Rate Constant to calculate the Backward Reaction Rate Constant, The Backward 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 backward direction. Backward Reaction Rate Constant is denoted by Kb symbol.

How to calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction using this online calculator? To use this online calculator for Backward Reaction Rate Constant of First Order Opposed by First Order Reaction, enter Concentration of Reactant at Equilibrium (xeqm), Concentration of Product at Time t (x), Time (t) & Forward Reaction Rate Constant (Kf) and hit the calculate button. Here is how the Backward Reaction Rate Constant of First Order Opposed by First Order Reaction calculation can be explained with given input values -> -3.9E-6 = (ln(70000/(70000-20000))/3600)-9.74E-05.

FAQ

What is Backward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Backward 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 backward direction and is represented as Kb = (ln(xeqm/(xeqm-x))/t)-Kf or Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward 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 & 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.
How to calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Backward 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 backward direction is calculated using Backward Reaction Rate Constant = (ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/Time)-Forward Reaction Rate Constant. To calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction, you need Concentration of Reactant at Equilibrium (xeqm), Concentration of Product at Time t (x), Time (t) & Forward Reaction Rate Constant (Kf). With our tool, you need to enter the respective value for Concentration of Reactant at Equilibrium, Concentration of Product at Time t, Time & Forward Reaction Rate Constant 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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