Backward Reaction Rate Constant of First Order Opposed by First Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
kb = (ln(xeq/(xeq-x))/tback)-kf
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
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.
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.
Time taken for Backward Reaction - (Measured in Second) - Time taken for Backward Reaction 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.
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)
Time taken for Backward Reaction: 360 Second --> 360 Second No Conversion Required
Forward Reaction Rate Constant: 9.74E-05 1 Per Second --> 9.74E-05 1 Per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kb = (ln(xeq/(xeq-x))/tback)-kf --> (ln(70000/(70000-27500))/360)-9.74E-05
Evaluating ... ...
kb = 0.00128868657255274
STEP 3: Convert Result to Output's Unit
0.00128868657255274 1 Per Second --> No Conversion Required
FINAL ANSWER
0.00128868657255274 0.001289 1 Per Second <-- Backward Reaction Rate Constant
(Calculation completed in 00.020 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))

Backward Reaction Rate Constant of First Order Opposed by First Order Reaction Formula

​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
kb = (ln(xeq/(xeq-x))/tback)-kf

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 Backward Reaction Rate Constant of First Order Opposed by First Order Reaction?

Backward Reaction Rate Constant of First Order Opposed by First Order Reaction calculator uses 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 to calculate the Backward Reaction Rate Constant, The Backward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the backward direction. Backward Reaction Rate Constant is denoted by kb symbol.

How to calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction using this online calculator? To use this online calculator for Backward Reaction Rate Constant of First Order Opposed by First Order Reaction, enter Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Time taken for Backward Reaction (tback) & Forward Reaction Rate Constant (kf) and hit the calculate button. Here is how the Backward Reaction Rate Constant of First Order Opposed by First Order Reaction calculation can be explained with given input values -> 0.000837 = (ln(70000/(70000-27500))/360)-9.74E-05.

FAQ

What is Backward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Backward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the backward direction and is represented as kb = (ln(xeq/(xeq-x))/tback)-kf or 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. 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, Time taken for Backward Reaction 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.
How to calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction?
The Backward Reaction Rate Constant of First Order Opposed by First Order Reaction formula is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction taking place in the backward direction is calculated using 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. To calculate Backward Reaction Rate Constant of First Order Opposed by First Order Reaction, you need Concentration of Reactant at Equilibrium (xeq), Concentration of Product at Time t (x), Time taken for Backward Reaction (tback) & Forward Reaction Rate Constant (kf). With our tool, you need to enter the respective value for Concentration of Reactant at Equilibrium, Concentration of Product at Time t, Time taken for Backward Reaction & Forward Reaction Rate Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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