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Catalytic Rate Constant given Dissociation Rate Constant Formula

GoCatalytic Rate Constant at Low Substrate Concentration Formula

GoCatalytic Rate Constant given Reverse and Forward Rate Constant Formula

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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

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

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

Catalytic Rate Constant given Dissociation Rate Constant Example

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Here is how the Catalytic Rate Constant given Dissociation Rate Constant equation looks like with Values.

Here is how the Catalytic Rate Constant given Dissociation Rate Constant equation looks like with Units.

Here is how the Catalytic Rate Constant given Dissociation Rate Constant equation looks like.

0.0216 = \frac{0.45 \cdot (5.7 + 1.5)}{100 \cdot 1.5}

0.0216s⁻¹ = \frac{0.45mol/L*s \cdot (5.7mol/L + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

0.0216 = \frac{0.45 \cdot (5.7 + 1.5)}{100 \cdot 1.5}

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Catalytic Rate Constant given Dissociation Rate Constant Solution

Follow our step by step solution on how to calculate Catalytic Rate Constant given Dissociation Rate Constant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k cat = \frac{0.45mol/L*s \cdot (5.7mol/L + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

Next Step Convert Units

∴

k cat = \frac{450mol/m³*s \cdot (5700mol/m³ + 1500mol/m³)}{100000mol/m³ \cdot 1500mol/m³}

Next Step Prepare to Evaluate

∴

k cat = \frac{450 \cdot (5700 + 1500)}{100000 \cdot 1500}

LAST Step Evaluate

∴

k cat = 0.0216s⁻¹

Catalytic Rate Constant given Dissociation Rate Constant 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: k_cat

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Catalytic 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

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

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 Catalytic Rate Constant

Go Catalytic Rate Constant at Low Substrate Concentration

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

Go Catalytic Rate Constant given Reverse and Forward Rate Constant

k cat = (\frac{k f \cdot E \cdot S}{ES}) - k r

Other formulas in Rate Constants of Enzymatic Reaction category

Go Forward Rate Constant in Enzymatic Reaction mechanism

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

Go Reverse Rate Constant in Enzymatic Reaction Mechanism

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

Go Dissociation Rate Constant in Enzymatic Reaction Mechanism

K D = \frac{k r}{k f}

Go Forward Rate Constant given Dissociation Rate Constant

k f = (\frac{k r}{K D})

How to Evaluate Catalytic Rate Constant given Dissociation Rate Constant?

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

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

FAQs on Catalytic Rate Constant given Dissociation Rate Constant

What is the formula to find Catalytic Rate Constant given Dissociation Rate Constant?

The formula of Catalytic Rate Constant given Dissociation Rate Constant is expressed as Catalytic Rate Constant = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). Here is an example- 0.0216 = (450*(5700+1500))/(100000*1500).

How to calculate Catalytic Rate Constant given Dissociation Rate Constant?

With Initial Reaction Rate (V₀), Dissociation Rate Constant (K_D), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]) we can find Catalytic Rate Constant given Dissociation Rate Constant using the formula - Catalytic Rate Constant = (Initial Reaction Rate*(Dissociation Rate Constant+Substrate Concentration))/(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*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration)
Catalytic Rate Constant=((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant

Can the Catalytic Rate Constant given Dissociation Rate Constant be negative?

Yes, the Catalytic Rate Constant given Dissociation Rate Constant, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Catalytic Rate Constant given Dissociation Rate Constant?

Catalytic Rate Constant given Dissociation Rate Constant 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 given Dissociation Rate Constant can be measured.

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Catalytic Rate Constant given Dissociation Rate Constant Formula

​GoCatalytic Rate Constant at Low Substrate Concentration Formula

​GoCatalytic Rate Constant given Reverse and Forward Rate Constant Formula

Catalytic Rate Constant given Dissociation Rate Constant Example

Catalytic Rate Constant given Dissociation Rate Constant Solution

Catalytic Rate Constant given Dissociation Rate Constant Formula Elements

Other Formulas to find Catalytic Rate Constant

Other formulas in Rate Constants of Enzymatic Reaction category

How to Evaluate Catalytic Rate Constant given Dissociation Rate Constant?

FAQs on Catalytic Rate Constant given Dissociation Rate Constant

Variable Name

GoCatalytic Rate Constant at Low Substrate Concentration Formula

GoCatalytic Rate Constant given Reverse and Forward Rate Constant Formula