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

STEP 0: Pre-Calculation Summary
Formula Used
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))
t = (1/Kf)*(xeqm/A0)*ln(xeqm/(xeqm-x))
This formula uses 1 Functions, 5 Variables
Functions Used
ln - Natural logarithm function (base e), 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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
Concentration of Reactant at Equilibrium: 70 Mole per Liter --> 70000 Mole per Cubic Meter (Check conversion here)
Initial Concentration of Reactant A: 100 Mole per Liter --> 100000 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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (1/Kf)*(xeqm/A0)*ln(xeqm/(xeqm-x)) --> (1/9.74E-05)*(70000/100000)*ln(70000/(70000-20000))
Evaluating ... ...
t = 2418.1782919389
STEP 3: Convert Result to Output's Unit
2418.1782919389 Second --> No Conversion Required
2418.1782919389 Second <-- Time
(Calculation completed in 00.031 seconds)
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## < 10+ Reversible Reaction Calculators

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
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
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
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
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
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
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
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
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
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
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 First Order Opposed by First Order Reaction given Initial Concentration of Reactant Formula

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))
t = (1/Kf)*(xeqm/A0)*ln(xeqm/(xeqm-x))

## 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 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 calculator uses 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)) to calculate the Time, The Time taken for First Order Opposed by First order Reaction given Initial Concentration of Reactant 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 First Order Opposed by First Order Reaction given Initial Concentration of Reactant using this online calculator? To use this online calculator for Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant, enter Forward Reaction Rate Constant (Kf), Concentration of Reactant at Equilibrium (xeqm), Initial Concentration of Reactant A (A0) & Concentration of Product at Time t (x) and hit the calculate button. Here is how the Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant calculation can be explained with given input values -> 2418.178 = (1/9.74E-05)*(70000/100000)*ln(70000/(70000-20000)).

### FAQ

What is Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant?
The Time taken for First Order Opposed by First order Reaction given Initial Concentration of Reactant 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 = (1/Kf)*(xeqm/A0)*ln(xeqm/(xeqm-x)) or 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 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 is defined as the amount of reactant present when the reaction is at equilibrium condition, Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0 & 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.
How to calculate Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant?
The Time taken for First Order Opposed by First order Reaction given Initial Concentration of Reactant 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 = (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)). To calculate Time taken for First Order Opposed by First Order Reaction given Initial Concentration of Reactant, you need Forward Reaction Rate Constant (Kf), Concentration of Reactant at Equilibrium (xeqm), Initial Concentration of Reactant A (A0) & Concentration of Product at Time t (x). With our tool, you need to enter the respective value for Forward Reaction Rate Constant, Concentration of Reactant at Equilibrium, Initial Concentration of Reactant A & Concentration of Product at Time t 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 Forward Reaction Rate Constant, Concentration of Reactant at Equilibrium, Initial Concentration of Reactant A & Concentration of Product at Time t. We can use 3 other way(s) to calculate the same, which is/are as follows -
• 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)
• 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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