Catalytic rate constant given Michaelis Constant Calculator

✖The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.ⓘ Michaelis Constant [K_M]			+10% -10%
✖The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.ⓘ Forward Rate Constant [k_f]			+10% -10%
✖The Reverse Rate Constant is defined as the rate constant for the backward reaction.ⓘ Reverse Rate Constant [k_r]			+10% -10%

✖The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic rate constant given Michaelis Constant [k_cat]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Chemical Kinetics Formula PDF PDF Image

Catalytic rate constant given Michaelis Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant
k_cat = (K_M*k_f)-k_r
This formula uses 4 Variables

Variables Used

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.
Michaelis Constant - (Measured in Mole per Cubic Meter) - The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.
Reverse Rate Constant - (Measured in Mole per Cubic Meter Second) - The Reverse Rate Constant is defined as the rate constant for the backward reaction.

STEP 1: Convert Input(s) to Base Unit

Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required
Reverse Rate Constant: 20 Mole per Liter Second --> 20000 Mole per Cubic Meter Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_cat = (K_M*k_f)-k_r --> (3000*6.9)-20000

Evaluating ... ...

k_cat = 700

STEP 3: Convert Result to Output's Unit

700 1 Per Second --> No Conversion Required

FINAL ANSWER

700 1 Per Second <-- Catalytic Rate Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Chemical Kinetics » Enzyme Kinetics » Michaelis Menten Kinetics Equation » Catalytic rate constant given Michaelis Constant

Credits

Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< Michaelis Menten Kinetics Equation Calculators

Michaelis Constant given Catalytic Rate Constant and Initial Enzyme Concentration

LaTeX Go Michaelis Constant = (Substrate Concentration*((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate))/Initial Reaction Rate

Maximum Rate of System from Michaelis Menten Kinetics equation

LaTeX Go Maximum Rate = (Initial Reaction Rate*(Michaelis Constant+Substrate Concentration))/Substrate Concentration

Substrate Concentration from Michaelis Menten Kinetics Equation

LaTeX Go Substrate Concentration = (Michaelis Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)

Michaelis Constant from Michaelis Menten kinetics equation

LaTeX Go Michaelis Constant = Substrate Concentration*((Maximum Rate-Initial Reaction Rate)/Initial Reaction Rate)

Catalytic rate constant given Michaelis Constant Formula

LaTeX Go

Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant
k_cat = (K_M*k_f)-k_r

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 Catalytic rate constant given Michaelis Constant?

Catalytic rate constant given Michaelis Constant calculator uses Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant to calculate the Catalytic Rate Constant, The Catalytic rate constant given Michaelis constant formula is defined as the subtraction of reverse rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism. Catalytic Rate Constant is denoted by k_cat symbol.

How to calculate Catalytic rate constant given Michaelis Constant using this online calculator? To use this online calculator for Catalytic rate constant given Michaelis Constant, enter Michaelis Constant (K_M), Forward Rate Constant (k_f) & Reverse Rate Constant (k_r) and hit the calculate button. Here is how the Catalytic rate constant given Michaelis Constant calculation can be explained with given input values -> 700 = (3000*6.9)-20000.

FAQ

What is Catalytic rate constant given Michaelis Constant?

The Catalytic rate constant given Michaelis constant formula is defined as the subtraction of reverse rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism and is represented as k_cat = (K_M*k_f)-k_r or Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant. The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system, The Forward Rate Constant is defined as the rate constant for the forward occurring reaction & The Reverse Rate Constant is defined as the rate constant for the backward reaction.

How to calculate Catalytic rate constant given Michaelis Constant?

The Catalytic rate constant given Michaelis constant formula is defined as the subtraction of reverse rate constant from the product of Michaelis constant and forward rate constant of the enzymatic reaction mechanism is calculated using Catalytic Rate Constant = (Michaelis Constant*Forward Rate Constant)-Reverse Rate Constant. To calculate Catalytic rate constant given Michaelis Constant, you need Michaelis Constant (K_M), Forward Rate Constant (k_f) & Reverse Rate Constant (k_r). With our tool, you need to enter the respective value for Michaelis Constant, Forward Rate Constant & Reverse Rate Constant 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 Catalytic Rate Constant?

In this formula, Catalytic Rate Constant uses Michaelis Constant, Forward Rate Constant & Reverse Rate Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Catalytic Rate Constant = Maximum Rate/Initial Enzyme Concentration

Home

FREE PDFs

🔍 Search