Rate Constant for Forward Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
kf = (1/t)*(xeq/(2*A0-xeq))*ln((A0*xeq+x*(A0-xeq))/(A0*(xeq-x)))
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
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: 27.5 Mole per Liter --> 27500 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
kf = (1/t)*(xeq/(2*A0-xeq))*ln((A0*xeq+x*(A0-xeq))/(A0*(xeq-x))) --> (1/3600)*(70000/(2*100000-70000))*ln((100000*70000+27500*(100000-70000))/(100000*(70000-27500)))
Evaluating ... ...
kf = 9.12998562912231E-05
STEP 3: Convert Result to Output's Unit
9.12998562912231E-05 1 Per Second --> No Conversion Required
FINAL ANSWER
9.12998562912231E-05 9.1E-5 1 Per Second <-- Forward Reaction Rate Constant
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by SUDIPTA SAHA
ACHARYA PRAFULLA CHANDRA COLLEGE (APC), KOLKATA
SUDIPTA SAHA has created this Calculator and 100+ more calculators!
Verifier Image
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 900+ more calculators!

First Order Opposed by Second Order Reactions Calculators

Time Taken for Completion of Reaction
​ LaTeX ​ Go Time = (1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Rate Constant for Forward Reaction
​ LaTeX ​ Go Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
Rate Constant for Backward Reaction
​ LaTeX ​ Go Rate Constant of Backward Reaction = Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium)/Concentration of Reactant at Equilibrium^2

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))

Rate Constant for Forward Reaction Formula

​LaTeX ​Go
Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t)))
kf = (1/t)*(xeq/(2*A0-xeq))*ln((A0*xeq+x*(A0-xeq))/(A0*(xeq-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. Thus, equilibrium is a dynamic equilibrium where all the participants of a reaction are being formed as fast as they are being destroyed and hence no further change in the various concentrations is observed.

What are the classifications of Opposing Reactions?

A reversible reaction may be classified on the basis of orders of elementary forward and backward reactions. We describe below a few reversible reactions classified accordingly:
1. First Order Opposed by First Order Reaction
2. First Order Opposed by Second Order Reaction
3. Second Order Opposed by First Order Reaction
4. Second Order Opposed by Second Order Reaction.

How to Calculate Rate Constant for Forward Reaction?

Rate Constant for Forward Reaction calculator uses Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))) to calculate the Forward Reaction Rate Constant, The Rate Constant for Forward 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 forward direction. Forward Reaction Rate Constant is denoted by kf symbol.

How to calculate Rate Constant for Forward Reaction using this online calculator? To use this online calculator for Rate Constant for Forward Reaction, enter Time (t), Concentration of Reactant at Equilibrium (xeq), Initial Concentration of Reactant A (A0) & Concentration of Product at Time t (x) and hit the calculate button. Here is how the Rate Constant for Forward Reaction calculation can be explained with given input values -> 6.3E-5 = (1/3600)*(70000/(2*100000-70000))*ln((100000*70000+27500*(100000-70000))/(100000*(70000-27500))).

FAQ

What is Rate Constant for Forward Reaction?
The Rate Constant for Forward 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 forward direction and is represented as kf = (1/t)*(xeq/(2*A0-xeq))*ln((A0*xeq+x*(A0-xeq))/(A0*(xeq-x))) or Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(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 Rate Constant for Forward Reaction?
The Rate Constant for Forward 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 forward direction is calculated using Forward Reaction Rate Constant = (1/Time)*(Concentration of Reactant at Equilibrium/(2*Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))*ln((Initial Concentration of Reactant A*Concentration of Reactant at Equilibrium+Concentration of Product at Time t*(Initial Concentration of Reactant A-Concentration of Reactant at Equilibrium))/(Initial Concentration of Reactant A*(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))). To calculate Rate Constant for Forward Reaction, you need Time (t), Concentration of Reactant at Equilibrium (xeq), 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!