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Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula

GoSubstrate Concentration if Michaelis Constant is very Large than Substrate Concentration Formula

GoSubstrate Concentration given Maximum Rate at Low Concentration Formula

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The Substrate Concentration is the number of moles of substrate per liter solution. Check FAQs

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

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

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Example

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

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

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

0.0397 = \frac{5.7 \cdot 0.45}{(0.65 \cdot 100) - 0.45}

0.0397mol/L = \frac{5.7mol/L \cdot 0.45mol/L*s}{(0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s}

0.0397 = \frac{5.7 \cdot 0.45}{(0.65 \cdot 100) - 0.45}

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Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = \frac{5.7mol/L \cdot 0.45mol/L*s}{(0.65s⁻¹ \cdot 100mol/L) - 0.45mol/L*s}

Next Step Convert Units

∴

S = \frac{5700mol/m³ \cdot 450mol/m³*s}{(0.65s⁻¹ \cdot 100000mol/m³) - 450mol/m³*s}

Next Step Prepare to Evaluate

∴

S = \frac{5700 \cdot 450}{(0.65 \cdot 100000) - 450}

Next Step Evaluate

∴

S = 39.7366382649109mol/m³

Next Step Convert to Output's Unit

∴

S = 0.0397366382649109mol/L

LAST Step Rounding Answer

∴

S = 0.0397mol/L

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula Elements

Variables

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

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

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

Other Formulas to find Substrate Concentration

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 Substrate Concentration in Enzymatic Reaction Mechanism

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

Go Substrate Concentration given Dissociation Rate Constant

S = \frac{K D \cdot ES}{[E 0] - ES}

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 Initial Enzyme Concentration at Low Substrate Concentration

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

Go Enzyme Substrate Complex Concentration in Instantaneous Chemical Equilibrium

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

Go Initial Enzyme Concentration in Enzymatic Reaction Mechanism

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

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

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

How to evaluate Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants using this online evaluator? To use this online evaluator for Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants, enter Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]) and hit the calculate button.

FAQs on Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants

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

The formula of Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants is expressed as Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate). Here is an example- 4E-5 = (5700*450)/((0.65*100000)-450).

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

With Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀), Catalytic Rate Constant (k_cat) & Initial Enzyme Concentration ([E₀]) we can find Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants using the formula - Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate).

What are the other ways to Calculate Substrate Concentration?

Here are the different ways to Calculate Substrate Concentration-

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

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

Yes, the Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants, measured in Molar Concentration can be negative.

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

Substrate 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 Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants can be measured.

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Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula

​GoSubstrate Concentration if Michaelis Constant is very Large than Substrate Concentration Formula

​GoSubstrate Concentration given Maximum Rate at Low Concentration Formula

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Example

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Solution

Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants Formula Elements

Other Formulas to find Substrate Concentration

Other formulas in Complex Concentration category

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

FAQs on Substrate Concentration given Catalytic Rate Constant and Dissociation Rate Constants

Variable Name

GoSubstrate Concentration if Michaelis Constant is very Large than Substrate Concentration Formula

GoSubstrate Concentration given Maximum Rate at Low Concentration Formula