Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
V0 = (kcat*[E0]*S)/(KM+S)
This formula uses 5 Variables
Variables Used
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.
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 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.
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.
STEP 1: Convert Input(s) to Base Unit
Catalytic Rate Constant: 0.65 1 Per Second --> 0.65 1 Per Second No Conversion Required
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)
Michaelis Constant: 3 Mole per Liter --> 3000 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = (kcat*[E0]*S)/(KM+S) --> (0.65*100000*1500)/(3000+1500)
Evaluating ... ...
V0 = 21666.6666666667
STEP 3: Convert Result to Output's Unit
21666.6666666667 Mole per Cubic Meter Second -->21.6666666666667 Mole per Liter Second (Check conversion ​here)
FINAL ANSWER
21.6666666666667 21.66667 Mole per Liter Second <-- Initial Reaction Rate
(Calculation completed in 00.004 seconds)

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

Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration Formula

​LaTeX ​Go
Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
V0 = (kcat*[E0]*S)/(KM+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 Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration calculator uses Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration) to calculate the Initial Reaction Rate, The Initial reaction rate given catalytic rate constant and initial enzyme concentration formula is defined as the relation between initial enzyme concentration and substrate concentration. Initial Reaction Rate is denoted by V0 symbol.

How to calculate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration using this online calculator? To use this online calculator for Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration, enter Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Michaelis Constant (KM) and hit the calculate button. Here is how the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration calculation can be explained with given input values -> 0.021667 = (0.65*100000*1500)/(3000+1500).

FAQ

What is Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?
The Initial reaction rate given catalytic rate constant and initial enzyme concentration formula is defined as the relation between initial enzyme concentration and substrate concentration and is represented as V0 = (kcat*[E0]*S)/(KM+S) or Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration). The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product, 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 & The Michaelis Constant is numerically equal to the substrate concentration at which the reaction rate is half of the maximum rate of the system.
How to calculate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?
The Initial reaction rate given catalytic rate constant and initial enzyme concentration formula is defined as the relation between initial enzyme concentration and substrate concentration is calculated using Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration). To calculate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration, you need Catalytic Rate Constant (kcat), Initial Enzyme Concentration ([E0]), Substrate Concentration (S) & Michaelis Constant (KM). With our tool, you need to enter the respective value for Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Michaelis 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 Initial Reaction Rate?
In this formula, Initial Reaction Rate uses Catalytic Rate Constant, Initial Enzyme Concentration, Substrate Concentration & Michaelis Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
  • Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Michaelis Constant
  • Initial Reaction Rate = (Maximum Rate*Substrate Concentration)/Michaelis Constant
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