Time taken for 1st Order Opposed by 1st Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
t = ln(xeq/(xeq-x))/(kf+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
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.
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.
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)
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = ln(xeq/(xeq-x))/(kf+kb) --> ln(70000/(70000-27500))/(9.74E-05+4.18E-05)
Evaluating ... ...
t = 3584.70665315365
STEP 3: Convert Result to Output's Unit
3584.70665315365 Second --> No Conversion Required
FINAL ANSWER
3584.70665315365 3584.707 Second <-- Time
(Calculation completed in 00.020 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))

23 Important Formulas on Reversible Reaction Calculators

Time taken for 2nd Order Opposed by 2nd Order Reaction given Initial Conc of Reactant B
Go Time for 2nd Order = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium^2/(2*Initial Concentration of Reactant B*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium)))*ln((Concentration of Product at Time t*(Initial Concentration of Reactant B-2*Concentration of Reactant at Equilibrium)+Initial Concentration of Reactant B*Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant B*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Forward Rxn Rate Const for 2nd Order Opposed by 2nd Order Rxn given Ini Conc of Reactant A
Go Forward Reaction Rate Constant given A = (1/Time)*(Concentration of Reactant at Equilibrium^2/(2*Initial Concentration of Reactant A*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)))*ln((Concentration of Product at Time t*(Initial Concentration of Reactant A-2*Concentration of Reactant at Equilibrium)+Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Time Taken for Completion of Reaction
Go Time = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Rate Constant for Forward Reaction
Go Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Time taken for 2nd Order Opposed by 1st Order Reaction given Initial Conc of Reactant A
Go Time = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium/((Initial Concentration of Reactant A^2)-(Concentration of Reactant at Equilibrium^2)))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Forward Rxn Rate Const for 2nd Order Opposed by 1st Order Rxn given Ini Conc of Reactant B
Go Forward Reaction Rate Constant given B = (1/Time)*(Concentration of Reactant at Equilibrium/(Initial Concentration of Reactant B^2-Concentration of Reactant at Equilibrium^2))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant B^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant B^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
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))
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))
Backward Reaction Rate Constant for 2nd Order Opposed by 2nd Order Reaction
Go Backward Reaction Rate Constant for 2nd Order = Forward Reaction Rate Constant for 2nd Order*((Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium))/Concentration of Reactant at Equilibrium^2
Backward Reaction Rate Constant for 2nd Order Opposed by 1st Order Reaction
Go Rate Constant for Backward Reaction = Forward Reaction Rate Constant for 2nd Order*((Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)*(Initial Concentration of Reactant B-Concentration of Reactant at Equilibrium))/Concentration of Reactant at Equilibrium
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))
Concentration of Reactant A given kf and kb
Go Concentration of Reactant A at Equilibrium = Backward Reaction Rate Constant for 2nd Order/Forward Reaction Rate Constant for 2nd Order*((Concentration of Product C at Equilibrium*Concentration of Product D at Equilibrium)/Concentration of Reactant B at Equilibrium)
Concentration of Reactant B given kf and kb
Go Concentration of Reactant B at Equilibrium = Backward Reaction Rate Constant for 2nd Order/Forward Reaction Rate Constant for 2nd Order*((Concentration of Product C at Equilibrium*Concentration of Product D at Equilibrium)/Concentration of Reactant A at Equilibrium)
Concentration of Product C given kf and kb
Go Concentration of Product C at Equilibrium = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order*((Concentration of Reactant A at Equilibrium*Concentration of Reactant B at Equilibrium)/Concentration of Product D at Equilibrium)
Concentration of Product D given kf and kb
Go Concentration of Product D at Equilibrium = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order*((Concentration of Reactant A at Equilibrium*Concentration of Reactant B at Equilibrium)/Concentration of Product C at Equilibrium)
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)))
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)
Rate Constant for Backward Reaction
Go Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2
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 Rate Constant given Keq and kb
Go Forward Reaction Rate Constant given kf and Keq = Equilibrium Constant for Second Order Reaction*Backward Reaction Rate Constant for 2nd Order
Backward Reaction Rate Constant given Keq and kf
Go Backward Reaction Rate Constant given kf and Keq = Equilibrium Constant*Forward Reaction Rate Constant for 2nd Order
Equilibrium Rate Constant given kf and kb
Go Equilibrium Constant = Forward Reaction Rate Constant for 2nd Order/Backward Reaction Rate Constant for 2nd Order

Time taken for 1st Order Opposed by 1st Order Reaction Formula

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)
t = ln(xeq/(xeq-x))/(kf+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 Time taken for 1st Order Opposed by 1st Order Reaction?

Time taken for 1st Order Opposed by 1st Order Reaction calculator uses 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) to calculate the Time, Time taken for 1st Order Opposed by 1st Order Reaction formula is defined as the time interval required to convert a particular concentration reactant to a certain concentration of product in a First Order Opposed by First Order Reaction. Time is denoted by t symbol.

How to calculate Time taken for 1st Order Opposed by 1st Order Reaction using this online calculator? To use this online calculator for Time taken for 1st Order Opposed by 1st Order Reaction, enter Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (kf) & Backward Reaction Rate Constant (kb) and hit the calculate button. Here is how the Time taken for 1st Order Opposed by 1st Order Reaction calculation can be explained with given input values -> 2417.186 = ln(70000/(70000-27500))/(9.74E-05+4.18E-05).

FAQ

What is Time taken for 1st Order Opposed by 1st Order Reaction?
Time taken for 1st Order Opposed by 1st Order Reaction formula is defined as the time interval required to convert a particular concentration reactant to a certain concentration of product in a First Order Opposed by First Order Reaction and is represented as t = ln(xeq/(xeq-x))/(kf+kb) or 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). 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, 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.
How to calculate Time taken for 1st Order Opposed by 1st Order Reaction?
Time taken for 1st Order Opposed by 1st Order Reaction formula is defined as the time interval required to convert a particular concentration reactant to a certain concentration of product in a First Order Opposed by First Order Reaction is calculated using 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). To calculate Time taken for 1st Order Opposed by 1st Order Reaction, you need Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (kf) & 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, Forward Reaction Rate Constant & 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 Time?
In this formula, Time uses Concentration of Reactant at Equilibrium, Concentration of Product at Time t, Forward Reaction Rate Constant & Backward Reaction Rate Constant. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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))
  • 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 = (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))
  • 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 = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
  • Time = (1/Forward Reaction Rate Constant for 2nd Order)*(Concentration of Reactant at Equilibrium/((Initial Concentration of Reactant A^2)-(Concentration of Reactant at Equilibrium^2)))*ln((Concentration of Reactant at Equilibrium*(Initial Concentration of Reactant A^2-Concentration of Product at Time t*Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A^2*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
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