FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

GoInitial Reaction Rate in Michaelis Menten kinetics Equation Formula

GoInitial Reaction Rate at Low Substrate Concentration Formula

Fx Copy

LaTeX Copy

The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place. Check FAQs

V 0 = \frac{k cat \cdot [E 0] \cdot S}{K M + S}

V₀ - Initial Reaction Rate?k_cat - Catalytic Rate Constant?[E₀] - Initial Enzyme Concentration?S - Substrate Concentration?K_M - Michaelis Constant?

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

With values

With units

Only example

Here is how the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Values.

Here is how the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like with Units.

Here is how the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration equation looks like.

21.6667 = \frac{0.65 \cdot 100 \cdot 1.5}{3 + 1.5}

21.6667mol/L*s = \frac{0.65s⁻¹ \cdot 100mol/L \cdot 1.5mol/L}{3mol/L + 1.5mol/L}

21.6667 = \frac{0.65 \cdot 100 \cdot 1.5}{3 + 1.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Chemical Kinetics » Category

Enzyme Kinetics » fx Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration

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

Follow our step by step solution on how to calculate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

FIRST Step Consider the formula

V 0 = \frac{k cat \cdot [E 0] \cdot S}{K M + S}

Next Step Substitute values of Variables

∴

V 0 = \frac{0.65s⁻¹ \cdot 100mol/L \cdot 1.5mol/L}{3mol/L + 1.5mol/L}

Next Step Convert Units

∴

V 0 = \frac{0.65s⁻¹ \cdot 100000mol/m³ \cdot 1500mol/m³}{3000mol/m³ + 1500mol/m³}

Next Step Prepare to Evaluate

∴

V 0 = \frac{0.65 \cdot 100000 \cdot 1500}{3000 + 1500}

Next Step Evaluate

∴

V 0 = 21666.6666666667mol/m³*s

Next Step Convert to Output's Unit

∴

V 0 = 21.6666666666667mol/L*s

LAST Step Rounding Answer

∴

V 0 = 21.6667mol/L*s

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

Variables

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.

Formulas to find Initial Reaction Rate

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: k_cat

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Catalytic Rate Constant

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.

Formulas to find Initial Enzyme Concentration

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.

Formulas to find Substrate Concentration

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: K_M

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Michaelis Constant

Other Formulas to find Initial Reaction Rate

Go Initial Reaction Rate in Michaelis Menten kinetics Equation

V 0 = \frac{V max \cdot S}{K M + S}

Go Initial Reaction Rate at Low Substrate Concentration

V 0 = \frac{k cat \cdot [E 0] \cdot S}{K M}

Go Initial Reaction Rate at Low Substrate Concentration terms of Maximum Rate

V 0 = \frac{V max \cdot S}{K M}

Go Initial Reaction Rate given Catalytic Rate Constant and Dissociation Rate Constants

V 0 = \frac{k cat \cdot [E 0] \cdot S}{K D + S}

Other formulas in Enzyme Kinetics category

Go Maximum Rate of System at Low Substrate Concentration

V max = \frac{V 0 \cdot K M}{S}

Go Initial Reaction Rate given Dissociation Rate Constant

V DRC = \frac{V max \cdot S}{K D + S}

Go Maximum Rate given Dissociation Rate Constant

V max_DRC = \frac{V 0 \cdot (K D + S)}{S}

Go Modifying Factor of Enzyme Substrate Complex

α' = 1 + (\frac{I}{K i'})

How to Evaluate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration evaluator uses Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration) to evaluate 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 evaluate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration using this online evaluator? To use this online evaluator 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.

FAQs on Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration

What is the formula to find Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

The formula of Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration is expressed as Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration). Here is an example- 0.021667 = (0.65*100000*1500)/(3000+1500).

How to calculate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

With Catalytic Rate Constant (k_cat), Initial Enzyme Concentration ([E₀]), Substrate Concentration (S) & Michaelis Constant (K_M) we can find Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration using the formula - Initial Reaction Rate = (Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/(Michaelis Constant+Substrate Concentration).

What are the other ways to Calculate Initial Reaction Rate?

Here are the different ways to Calculate Initial Reaction Rate-

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

Can the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration be negative?

Yes, the Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration, measured in Reaction Rate can be negative.

Which unit is used to measure Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration is usually measured using the Mole per Liter Second[mol/L*s] for Reaction Rate. Millimole per Liter Second[mol/L*s], Mole per Cubic Meter Second[mol/L*s] are the few other units in which Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoInitial Reaction Rate in Michaelis Menten kinetics Equation Formula

​GoInitial Reaction Rate at Low Substrate Concentration Formula

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

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

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

Other Formulas to find Initial Reaction Rate

Other formulas in Enzyme Kinetics category

How to Evaluate Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration?

FAQs on Initial Reaction Rate given Catalytic Rate Constant and Initial Enzyme Concentration

Variable Name

GoInitial Reaction Rate in Michaelis Menten kinetics Equation Formula

GoInitial Reaction Rate at Low Substrate Concentration Formula