Catalytic Rate Constant at Low Substrate Concentration Calculator

✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+10% -10%
✖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 Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.ⓘ Initial Enzyme Concentration [[E₀]]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+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 at Low Substrate Concentration [k_cat]

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Catalytic Rate Constant at Low Substrate Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration)
k_cat = (V₀*K_M)/([E₀]*S)
This formula uses 5 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.
Initial Reaction Rate - (Measured in Mole per Cubic Meter Second) - The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
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.
Initial Enzyme Concentration - (Measured in Mole per Cubic Meter) - The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the 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

Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion here)
Initial Enzyme Concentration: 100 Mole per Liter --> 100000 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_cat = (V₀*K_M)/([E₀]*S) --> (450*3000)/(100000*1500)

Evaluating ... ...

k_cat = 0.009

STEP 3: Convert Result to Output's Unit

0.009 1 Per Second --> No Conversion Required

FINAL ANSWER

0.009 1 Per Second <-- Catalytic Rate Constant

(Calculation completed in 00.004 seconds)

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< Rate Constants of Enzymatic Reaction Calculators

Forward Rate Constant in Enzymatic Reaction mechanism

LaTeX Go Forward Rate Constant = (Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))

Reverse Rate Constant in Enzymatic Reaction Mechanism

LaTeX Go Reverse Rate Constant = (Forward Rate Constant*Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))/Enzyme Substrate Complex Concentration

Catalytic Rate Constant at Low Substrate Concentration

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

Dissociation Rate Constant in Enzymatic Reaction Mechanism

LaTeX Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant

Catalytic Rate Constant at Low Substrate Concentration Formula

LaTeX Go

Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration)
k_cat = (V₀*K_M)/([E₀]*S)

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 at Low Substrate Concentration?

Catalytic Rate Constant at Low Substrate Concentration calculator uses Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration) to calculate the Catalytic Rate Constant, The Catalytic rate constant at low substrate concentration formula is defined as the relation with initial enzyme concentration and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant. Catalytic Rate Constant is denoted by k_cat symbol.

How to calculate Catalytic Rate Constant at Low Substrate Concentration using this online calculator? To use this online calculator for Catalytic Rate Constant at Low Substrate Concentration, enter Initial Reaction Rate (V₀), Michaelis Constant (K_M), Initial Enzyme Concentration ([E₀]) & Substrate Concentration (S) and hit the calculate button. Here is how the Catalytic Rate Constant at Low Substrate Concentration calculation can be explained with given input values -> 0.009 = (450*3000)/(100000*1500).

FAQ

What is Catalytic Rate Constant at Low Substrate Concentration?

The Catalytic rate constant at low substrate concentration formula is defined as the relation with initial enzyme concentration and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant and is represented as k_cat = (V₀*K_M)/([E₀]*S) or Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration). The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place, 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 Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction & The Substrate Concentration is the number of moles of substrate per liter solution.

How to calculate Catalytic Rate Constant at Low Substrate Concentration?

The Catalytic rate constant at low substrate concentration formula is defined as the relation with initial enzyme concentration and the concentration of a substrate. Here substrate concentration is very less i.e negligible in comparison to Michaelis constant is calculated using Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration). To calculate Catalytic Rate Constant at Low Substrate Concentration, you need Initial Reaction Rate (V₀), Michaelis Constant (K_M), Initial Enzyme Concentration ([E₀]) & Substrate Concentration (S). With our tool, you need to enter the respective value for Initial Reaction Rate, Michaelis Constant, Initial Enzyme Concentration & Substrate Concentration 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 Initial Reaction Rate, Michaelis Constant, Initial Enzyme Concentration & Substrate Concentration. We can use 2 other way(s) to calculate the same, which is/are as follows -

Catalytic Rate Constant = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)
Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant

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