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The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product. Check FAQs
kcat=V0KM[E0]S
kcat - Catalytic Rate Constant?V0 - Initial Reaction Rate?KM - Michaelis Constant?[E0] - Initial Enzyme Concentration?S - Substrate Concentration?

Catalytic Rate Constant at Low Substrate Concentration Example

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Here is how the Catalytic Rate Constant at Low Substrate Concentration equation looks like with Values.

Here is how the Catalytic Rate Constant at Low Substrate Concentration equation looks like with Units.

Here is how the Catalytic Rate Constant at Low Substrate Concentration equation looks like.

0.009Edit=0.45Edit3Edit100Edit1.5Edit
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Catalytic Rate Constant at Low Substrate Concentration Solution

Follow our step by step solution on how to calculate Catalytic Rate Constant at Low Substrate Concentration?

FIRST Step Consider the formula
kcat=V0KM[E0]S
Next Step Substitute values of Variables
kcat=0.45mol/L*s3mol/L100mol/L1.5mol/L
Next Step Convert Units
kcat=450mol/m³*s3000mol/m³100000mol/m³1500mol/m³
Next Step Prepare to Evaluate
kcat=45030001000001500
LAST Step Evaluate
kcat=0.009s⁻¹

Catalytic Rate Constant at Low Substrate Concentration Formula Elements

Variables
Catalytic Rate Constant
The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
Symbol: kcat
Measurement: First Order Reaction Rate ConstantUnit: s⁻¹
Note: Value can be positive or negative.
Initial Reaction Rate
The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
Symbol: V0
Measurement: Reaction RateUnit: mol/L*s
Note: Value can be positive or negative.
Michaelis 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.
Symbol: KM
Measurement: Molar ConcentrationUnit: mol/L
Note: Value can be positive or negative.
Initial Enzyme Concentration
The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction.
Symbol: [E0]
Measurement: Molar ConcentrationUnit: mol/L
Note: Value should be greater than 0.
Substrate Concentration
The Substrate Concentration is the number of moles of substrate per liter solution.
Symbol: S
Measurement: Molar ConcentrationUnit: mol/L
Note: Value can be positive or negative.

Other Formulas to find Catalytic Rate Constant

​Go Catalytic Rate Constant given Dissociation Rate Constant
kcat=V0(KD+S)[E0]S
​Go Catalytic Rate Constant given Reverse and Forward Rate Constant
kcat=(kfESES)-kr

Other formulas in Rate Constants of Enzymatic Reaction category

​Go Forward Rate Constant in Enzymatic Reaction mechanism
kf=krESS([E0]-ES)
​Go Reverse Rate Constant in Enzymatic Reaction Mechanism
kr=kfS([E0]-ES)ES
​Go Dissociation Rate Constant in Enzymatic Reaction Mechanism
KD=krkf
​Go Forward Rate Constant given Dissociation Rate Constant
kf=(krKD)

How to Evaluate Catalytic Rate Constant at Low Substrate Concentration?

Catalytic Rate Constant at Low Substrate Concentration evaluator uses Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration) to evaluate 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 kcat symbol.

How to evaluate Catalytic Rate Constant at Low Substrate Concentration using this online evaluator? To use this online evaluator for Catalytic Rate Constant at Low Substrate Concentration, enter Initial Reaction Rate (V0), Michaelis Constant (KM), Initial Enzyme Concentration ([E0]) & Substrate Concentration (S) and hit the calculate button.

FAQs on Catalytic Rate Constant at Low Substrate Concentration

What is the formula to find Catalytic Rate Constant at Low Substrate Concentration?
The formula of Catalytic Rate Constant at Low Substrate Concentration is expressed as Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration). Here is an example- 0.009 = (450*3000)/(100000*1500).
How to calculate Catalytic Rate Constant at Low Substrate Concentration?
With Initial Reaction Rate (V0), Michaelis Constant (KM), Initial Enzyme Concentration ([E0]) & Substrate Concentration (S) we can find Catalytic Rate Constant at Low Substrate Concentration using the formula - Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration).
What are the other ways to Calculate Catalytic Rate Constant?
Here are the different ways to Calculate Catalytic Rate Constant-
  • Catalytic Rate Constant=(Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration)OpenImg
  • Catalytic Rate Constant=((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate ConstantOpenImg
Can the Catalytic Rate Constant at Low Substrate Concentration be negative?
Yes, the Catalytic Rate Constant at Low Substrate Concentration, measured in First Order Reaction Rate Constant can be negative.
Which unit is used to measure Catalytic Rate Constant at Low Substrate Concentration?
Catalytic Rate Constant at Low Substrate Concentration is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Catalytic Rate Constant at Low Substrate Concentration can be measured.
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