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Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula

GoInitial Enzyme Concentration at Low Substrate Concentration Formula

GoInitial Enzyme Concentration in Enzymatic Reaction Mechanism Formula

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The Initial Enzyme Concentration is defined as the concentration of enzyme at the start of the reaction. Check FAQs

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

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

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Example

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

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

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

3.3231 = \frac{0.45 \cdot (5.7 + 1.5)}{0.65 \cdot 1.5}

3.3231mol/L = \frac{0.45mol/L*s \cdot (5.7mol/L + 1.5mol/L)}{0.65s⁻¹ \cdot 1.5mol/L}

3.3231 = \frac{0.45 \cdot (5.7 + 1.5)}{0.65 \cdot 1.5}

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Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

[E 0] = \frac{0.45mol/L*s \cdot (5.7mol/L + 1.5mol/L)}{0.65s⁻¹ \cdot 1.5mol/L}

Next Step Convert Units

∴

[E 0] = \frac{450mol/m³*s \cdot (5700mol/m³ + 1500mol/m³)}{0.65s⁻¹ \cdot 1500mol/m³}

Next Step Prepare to Evaluate

∴

[E 0] = \frac{450 \cdot (5700 + 1500)}{0.65 \cdot 1500}

Next Step Evaluate

∴

[E 0] = 3323.07692307692mol/m³

Next Step Convert to Output's Unit

∴

[E 0] = 3.32307692307692mol/L

LAST Step Rounding Answer

∴

[E 0] = 3.3231mol/L

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula Elements

Variables

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

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

Dissociation Rate Constant

The Dissociation Rate Constant is the ratio of reverse and forward rate constant.

Symbol: K_D

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Formulas to find Dissociation Rate Constant

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

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

Other Formulas to find Initial Enzyme Concentration

Go Initial Enzyme Concentration at Low Substrate Concentration

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

Go Initial Enzyme Concentration in Enzymatic Reaction Mechanism

[E 0] = (\frac{k r \cdot ES}{k f \cdot S}) + ES

Go Initial Enzyme Concentration given Rate Constant and Maximum Rate

[E 0] = \frac{V max}{k 2}

Other formulas in Complex Concentration category

Go Substrate Concentration given Catalytic Rate Constant and Initial Enzyme Concentration

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

Go Substrate Concentration if Michaelis Constant is very Large than Substrate Concentration

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

Go Substrate Concentration given Maximum Rate at Low Concentration

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

Go Enzyme Substrate Complex Concentration in Instantaneous Chemical Equilibrium

ES = \frac{k f \cdot [E 0] \cdot S}{k r + (k f \cdot S)}

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

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants evaluator uses Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration) to evaluate the Initial Enzyme Concentration, The Initial enzyme concentration given catalytic rate constant and dissociation rate constants formula is defined as the relation with initial and dissociation rate constants and with the substrate concentration. Initial Enzyme Concentration is denoted by [E₀] symbol.

How to evaluate Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants using this online evaluator? To use this online evaluator for Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants, enter Initial Reaction Rate (V₀), Dissociation Rate Constant (K_D), Substrate Concentration (S) & Catalytic Rate Constant (k_cat) and hit the calculate button.

FAQs on Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants

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

The formula of Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants is expressed as Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration). Here is an example- 0.003323 = (450*(5700+1500))/(0.65*1500).

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

With Initial Reaction Rate (V₀), Dissociation Rate Constant (K_D), Substrate Concentration (S) & Catalytic Rate Constant (k_cat) we can find Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants using the formula - Initial Enzyme Concentration = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Catalytic Rate Constant*Substrate Concentration).

What are the other ways to Calculate Initial Enzyme Concentration?

Here are the different ways to Calculate Initial Enzyme Concentration-

Initial Enzyme Concentration=(Initial Reaction Rate*Michaelis Constant)/(Catalytic Rate Constant*Substrate Concentration)
Initial Enzyme Concentration=((Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Substrate Concentration))+Enzyme Substrate Complex Concentration
Initial Enzyme Concentration=Maximum Rate/Final Rate Constant

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

No, the Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants, measured in Molar Concentration cannot be negative.

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

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants is usually measured using the Mole per Liter[mol/L] for Molar Concentration. Mole per Cubic Meter[mol/L], Mole per Cubic Millimeter[mol/L], Kilomole per Cubic Meter[mol/L] are the few other units in which Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants can be measured.

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Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula

​GoInitial Enzyme Concentration at Low Substrate Concentration Formula

​GoInitial Enzyme Concentration in Enzymatic Reaction Mechanism Formula

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Example

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula Elements

Other Formulas to find Initial Enzyme Concentration

Other formulas in Complex Concentration category

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

FAQs on Initial Enzyme Concentration given Catalytic Rate Constant and Dissociation Rate Constants

Variable Name

GoInitial Enzyme Concentration at Low Substrate Concentration Formula

GoInitial Enzyme Concentration in Enzymatic Reaction Mechanism Formula