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

✖Concentration of Reactant at Equilibrium is defined as the amount of reactant present when the reaction is at equilibrium condition.ⓘ Concentration of Reactant at Equilibrium [x_eq]			+10% -10%
✖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.ⓘ Concentration of Product at Time t [x]			+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 taken for 1st Order Opposed by 1st Order Reaction [t]

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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(x_eq/(x_eq-x))/(k_f+k_b)
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(x_eq/(x_eq-x))/(k_f+k_b) --> 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 00.004 seconds)

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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))

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

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 (x_eq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (k_f) & Backward Reaction Rate Constant (k_b) 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 -> 3584.707 = 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(x_eq/(x_eq-x))/(k_f+k_b) 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 (x_eq), Concentration of Product at Time t (x), Forward Reaction Rate Constant (k_f) & Backward Reaction Rate Constant (k_b). 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 3 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))

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