Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants Solution

STEP 0: Pre-Calculation Summary
Formula Used
Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration)
E = ((kr+kcat)*ES)/(kf*S)
This formula uses 6 Variables
Variables Used
Catalyst Concentration - (Measured in Mole per Cubic Meter) - The Catalyst Concentration is the number of moles of catalyst present in the per liter of solution.
Reverse Rate Constant - (Measured in Mole per Cubic Meter Second) - The Reverse Rate Constant is defined as the rate constant for the backward reaction.
Catalytic Rate Constant - (Measured in 1 Per Second) - The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
Enzyme Substrate Complex Concentration - (Measured in Mole per Cubic Meter) - The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
STEP 1: Convert Input(s) to Base Unit
Reverse Rate Constant: 20 Mole per Liter Second --> 20000 Mole per Cubic Meter Second (Check conversion ​here)
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
Enzyme Substrate Complex Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion ​here)
Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = ((kr+kcat)*ES)/(kf*S) --> ((20000+0.65)*10000)/(6.9*1500)
Evaluating ... ...
E = 19324.2995169082
STEP 3: Convert Result to Output's Unit
19324.2995169082 Mole per Cubic Meter -->19.3242995169082 Mole per Liter (Check conversion ​here)
FINAL ANSWER
19.3242995169082 19.3243 Mole per Liter <-- Catalyst Concentration
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has created this Calculator and 700+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

Complex Concentration Calculators

Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration
​ LaTeX ​ Go Concentration of Substrate = (Michaelis Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Substrate Concentration if Michaelis Constant is very Large than Substrate Concentration
​ LaTeX ​ Go Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Initial Enzyme Concentration)
Initial Enzyme Concentration at Low Substrate Concentration
​ LaTeX ​ Go Initial Enzyme Concentration = (Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
Substrate Concentration given Maximum Rate at Low Concentration
​ LaTeX ​ Go Substrate Concentration = (Initial Reaction Rate*Michaelis Constant)/Maximum Rate

Important Formulas on Enzyme Kinetics Calculators

Initial Reaction Rate given Dissociation Rate Constant
​ LaTeX ​ Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)
Maximum Rate given Dissociation Rate Constant
​ LaTeX ​ Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration
Modifying Factor of Enzyme Substrate Complex
​ LaTeX ​ Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)
Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration
​ LaTeX ​ Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration

Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants Formula

​LaTeX ​Go
Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration)
E = ((kr+kcat)*ES)/(kf*S)

What is catalytic rate constant?

The catalytic rate constants, with units of s-1 is often called the turnover number. It is a measure of how many bound substrate molecules turnover or form product in 1 second. This is evident from equation v0 = kcat[ES].

What is Michaelis–Menten kinetics model?

In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. Biochemical reactions involving a single substrate are often assumed to follow Michaelis–Menten kinetics, without regard to the model's underlying assumptions. The model takes the form of an equation describing the rate of enzymatic reactions, by relating the reaction rate of formation of product to the concentration of a substrate.

How to Calculate Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants?

Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants calculator uses Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration) to calculate the Catalyst Concentration, The Enzyme catalyst concentration given forward, reverse, and catalytic rate constants formula is defined as the relation with substrate concentration and with an enzyme-substrate complex concentration in an enzymatic reaction mechanism. Catalyst Concentration is denoted by E symbol.

How to calculate Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants using this online calculator? To use this online calculator for Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants, enter Reverse Rate Constant (kr), Catalytic Rate Constant (kcat), Enzyme Substrate Complex Concentration (ES), Forward Rate Constant (kf) & Substrate Concentration (S) and hit the calculate button. Here is how the Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants calculation can be explained with given input values -> 0.019324 = ((20000+0.65)*10000)/(6.9*1500).

FAQ

What is Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants?
The Enzyme catalyst concentration given forward, reverse, and catalytic rate constants formula is defined as the relation with substrate concentration and with an enzyme-substrate complex concentration in an enzymatic reaction mechanism and is represented as E = ((kr+kcat)*ES)/(kf*S) or Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration). The Reverse Rate Constant is defined as the rate constant for the backward reaction, The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product, The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate, The Forward Rate Constant is defined as the rate constant for the forward occurring reaction & The Substrate Concentration is the number of moles of substrate per liter solution.
How to calculate Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants?
The Enzyme catalyst concentration given forward, reverse, and catalytic rate constants formula is defined as the relation with substrate concentration and with an enzyme-substrate complex concentration in an enzymatic reaction mechanism is calculated using Catalyst Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration). To calculate Enzyme Catalyst Concentration given Forward, Reverse, and Catalytic Rate Constants, you need Reverse Rate Constant (kr), Catalytic Rate Constant (kcat), Enzyme Substrate Complex Concentration (ES), Forward Rate Constant (kf) & Substrate Concentration (S). With our tool, you need to enter the respective value for Reverse Rate Constant, Catalytic Rate Constant, Enzyme Substrate Complex Concentration, Forward Rate Constant & Substrate Concentration 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!