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

✖The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic Rate Constant [k_cat]			+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 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 Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration [V₀]

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Formula

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Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration

Formula

`"V"_{"0"} = ("k"_{"cat"}*("[E"_{"0"}"]")*"S")/("K"_{"M"}+"S")`

Example

`"21.66667mol/L*s"=("0.65s⁻¹"*"100mol/L"*"1.5mol/L")/("3mol/L"+"1.5mol/L")`

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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 = (k_cat*[E₀]*S)/(K_M+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 = (k_cat*[E₀]*S)/(K_M+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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< 13 Enzyme Kinetics Calculators

Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants

Go Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration

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

Initial Reaction Rate given Dissociation Rate Constant

Go Initial Reaction Rate given DRC = (Maximum Rate*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

Maximum Rate given Dissociation Rate Constant

Go Maximum Rate given DRC = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/Substrate Concentration

Initial Reaction Rate at Low Substrate Concentration

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

Initial Reaction Rate in Michaelis Menten kinetics Equation

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

Initial Reaction Rate at Low Substrate Concentration terms of Maximum Rate

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

Maximum Rate of System at Low Substrate Concentration

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

Modifying Factor of Enzyme Substrate Complex

Go Enzyme Substrate Modifying Factor = 1+(Inhibitor Concentration/Enzyme Substrate Dissociation Constant)

Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

Go Initial Reaction Rate given RC = Final Rate Constant*Enzyme Substrate Complex Concentration

Maximum Rate given Rate Constant and Initial Enzyme Concentration

Go Maximum Rate = (Final Rate Constant*Initial Enzyme Concentration)

Total Change in Concentration of Reaction

Go Total change in concentration = Average rate*Total time interval

Total Time taken during Reaction

Go Total time interval = Total change in concentration/Average rate

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

Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration)
V₀ = (k_cat*[E₀]*S)/(K_M+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 (k_cat), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S) & Michaelis Constant (K_M) 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 = (k_cat*[E₀]*S)/(K_M+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 (k_cat), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S) & Michaelis Constant (K_M). 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 4 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
Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Dissociation Rate Constant+Substrate Concentration)

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