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

STEP 0: Pre-Calculation Summary
Formula Used
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))
A0 = (1/(t*Kf))*xeqm*ln(xeqm/(xeqm-x))
This formula uses 1 Functions, 5 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
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.
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.
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
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
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A0 = (1/(t*Kf))*xeqm*ln(xeqm/(xeqm-x)) --> (1/(3600*9.74E-05))*70000*ln(70000/(70000-20000))
Evaluating ... ...
A0 = 67171.6192205251
STEP 3: Convert Result to Output's Unit
67171.6192205251 Mole per Cubic Meter -->67.1716192205251 Mole per Liter (Check conversion here)
67.1716192205251 Mole per Liter <-- Initial Concentration of Reactant A
(Calculation completed in 00.016 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))

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

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))
A0 = (1/(t*Kf))*xeqm*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 Initial Concentration of Reactant for First Order Opposed by First Order Reaction?

Initial Concentration of Reactant for First Order Opposed by First Order Reaction calculator uses 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)) to calculate the Initial Concentration of Reactant A, The Initial Concentration of Reactant for First Order Opposed by First Order Reaction formula is defined as the amount of reactant present in the reaction system when time t=0. Initial Concentration of Reactant A is denoted by A0 symbol.

How to calculate Initial Concentration of Reactant for First Order Opposed by First Order Reaction using this online calculator? To use this online calculator for Initial Concentration of Reactant for First Order Opposed by First Order Reaction, enter Time (t), Forward Reaction Rate Constant (Kf), Concentration of Reactant at Equilibrium (xeqm) & Concentration of Product at Time t (x) and hit the calculate button. Here is how the Initial Concentration of Reactant for First Order Opposed by First Order Reaction calculation can be explained with given input values -> 67.17162 = (1/(3600*9.74E-05))*70000*ln(70000/(70000-20000)).

### FAQ

What is Initial Concentration of Reactant for First Order Opposed by First Order Reaction?
The Initial Concentration of Reactant for First Order Opposed by First Order Reaction formula is defined as the amount of reactant present in the reaction system when time t=0 and is represented as A0 = (1/(t*Kf))*xeqm*ln(xeqm/(xeqm-x)) or 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)). 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, 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.
How to calculate Initial Concentration of Reactant for First Order Opposed by First Order Reaction?
The Initial Concentration of Reactant for First Order Opposed by First Order Reaction formula is defined as the amount of reactant present in the reaction system when time t=0 is calculated using 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)). To calculate Initial Concentration of Reactant for First Order Opposed by First Order Reaction, you need Time (t), Forward Reaction Rate Constant (Kf), Concentration of Reactant at Equilibrium (xeqm) & Concentration of Product at Time t (x). With our tool, you need to enter the respective value for Time, Forward Reaction Rate Constant, Concentration of Reactant at Equilibrium & 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 Initial Concentration of Reactant A?
In this formula, Initial Concentration of Reactant A uses Time, Forward Reaction Rate Constant, Concentration of Reactant at Equilibrium & Concentration of Product at Time t. We can use 2 other way(s) to calculate the same, which is/are as follows -
• 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)))
• Initial Concentration of Reactant A = (Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)*(Forward Reaction Rate Constant*Time*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))-Initial Concentration of Reactant B
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