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Initial Enzyme Concentration given Rate Constant and Maximum Rate 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 max}{k 2}

[E₀] - Initial Enzyme Concentration?V_max - Maximum Rate?k₂ - Final Rate Constant?

Initial Enzyme Concentration given Rate Constant and Maximum Rate Example

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

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

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

1.7391 = \frac{40}{23}

1.7391mol/L = \frac{40mol/L*s}{23s⁻¹}

1.7391 = \frac{40}{23}

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Initial Enzyme Concentration given Rate Constant and Maximum Rate Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

[E 0] = \frac{40mol/L*s}{23s⁻¹}

Next Step Convert Units

∴

[E 0] = \frac{40000mol/m³*s}{23s⁻¹}

Next Step Prepare to Evaluate

∴

[E 0] = \frac{40000}{23}

Next Step Evaluate

∴

[E 0] = 1739.13043478261mol/m³

Next Step Convert to Output's Unit

∴

[E 0] = 1.73913043478261mol/L

LAST Step Rounding Answer

∴

[E 0] = 1.7391mol/L

Initial Enzyme Concentration given Rate Constant and Maximum Rate 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

Maximum Rate

The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.

Symbol: V_max

Measurement: Reaction RateUnit: mol/L*s

Note: Value can be positive or negative.

Formulas to find Maximum Rate

Final Rate Constant

The Final Rate Constant is the rate constant when the enzyme-substrate complex on reaction with inhibitor is converted into the enzyme catalyst and product.

Symbol: k₂

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Final 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 Catalytic Rate Constant and Dissociation Rate Constants

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

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 Rate Constant and Maximum Rate?

Initial Enzyme Concentration given Rate Constant and Maximum Rate evaluator uses Initial Enzyme Concentration = Maximum Rate/Final Rate Constant to evaluate the Initial Enzyme Concentration, The Initial enzyme concentration given rate constant and maximum rate formula is defined as the ratio of the maximum rate of the system to the rate constant of the reaction converting enzyme-substrate intermediate to the product. Initial Enzyme Concentration is denoted by [E₀] symbol.

How to evaluate Initial Enzyme Concentration given Rate Constant and Maximum Rate using this online evaluator? To use this online evaluator for Initial Enzyme Concentration given Rate Constant and Maximum Rate, enter Maximum Rate (V_max) & Final Rate Constant (k₂) and hit the calculate button.

FAQs on Initial Enzyme Concentration given Rate Constant and Maximum Rate

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

The formula of Initial Enzyme Concentration given Rate Constant and Maximum Rate is expressed as Initial Enzyme Concentration = Maximum Rate/Final Rate Constant. Here is an example- 0.001739 = 40000/23.

How to calculate Initial Enzyme Concentration given Rate Constant and Maximum Rate?

With Maximum Rate (V_max) & Final Rate Constant (k₂) we can find Initial Enzyme Concentration given Rate Constant and Maximum Rate using the formula - Initial Enzyme Concentration = Maximum Rate/Final Rate Constant.

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

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

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

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

Initial Enzyme Concentration given Rate Constant and Maximum Rate 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 Rate Constant and Maximum Rate can be measured.

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