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

STEP 0: Pre-Calculation Summary
Formula Used
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))
Kf = (1/t)*(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
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.
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.
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
Time: 3600 Second --> 3600 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
Kf = (1/t)*(xeqm/A0)*ln(xeqm/(xeqm-x)) --> (1/3600)*(70000/100000)*ln(70000/(70000-20000))
Evaluating ... ...
Kf = 6.54251571207914E-05
STEP 3: Convert Result to Output's Unit
6.54251571207914E-05 1 Per Second --> No Conversion Required
6.54251571207914E-05 1 Per Second <-- Forward Reaction Rate Constant
(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))

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

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))
Kf = (1/t)*(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 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 calculator uses 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)) to calculate the Forward Reaction Rate Constant, The Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction. Forward Reaction Rate Constant is denoted by Kf symbol.

How to calculate Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant using this online calculator? To use this online calculator for Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant, enter Time (t), 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 Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant calculation can be explained with given input values -> 6.5E-5 = (1/3600)*(70000/100000)*ln(70000/(70000-20000)).

### FAQ

What is Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant?
The Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction and is represented as Kf = (1/t)*(xeqm/A0)*ln(xeqm/(xeqm-x)) or 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 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 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 Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant?
The Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the forward direction is calculated using 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)). To calculate Forward Reaction Rate Const of 1st Order Opposed by 1st Order Rxn given Initial Conc of Reactant, you need Time (t), 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 Time, 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 Forward Reaction Rate Constant?
In this formula, Forward Reaction Rate Constant uses Time, Concentration of Reactant at Equilibrium, Initial Concentration of Reactant A & Concentration of Product at Time t. We can use 2 other way(s) to calculate the same, which is/are as follows -
• 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
• 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))
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