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Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Formula

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

k final = \frac{V 0 \cdot (K M \cdot (1 + (\frac{I}{K i})) + S)}{[E 0] \cdot S}

k_final - Final Rate Constant for Catalysis?V₀ - Initial Reaction Rate?K_M - Michaelis Constant?I - Inhibitor Concentration?K_i - Enzyme Inhibitor Dissociation Constant?S - Substrate Concentration?[E₀] - Initial Enzyme Concentration?

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Example

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Here is how the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis equation looks like with Values.

Here is how the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis equation looks like with Units.

Here is how the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis equation looks like.

0.0178 = \frac{0.45 \cdot (3 \cdot (1 + (\frac{9}{19})) + 1.5)}{100 \cdot 1.5}

0.0178s⁻¹ = \frac{0.45mol/L*s \cdot (3mol/L \cdot (1 + (\frac{9mol/L}{19mol/L})) + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

0.0178 = \frac{0.45 \cdot (3 \cdot (1 + (\frac{9}{19})) + 1.5)}{100 \cdot 1.5}

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Home » Chemistry » Chemical Kinetics » Enzyme Kinetics » Final Rate Constant for Competitive Inhibition of Enzyme Catalysis

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Solution

Follow our step by step solution on how to calculate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

FIRST Step Consider the formula

k final = \frac{V 0 \cdot (K M \cdot (1 + (\frac{I}{K i})) + S)}{[E 0] \cdot S}

Next Step Substitute values of Variables

∴

k final = \frac{0.45mol/L*s \cdot (3mol/L \cdot (1 + (\frac{9mol/L}{19mol/L})) + 1.5mol/L)}{100mol/L \cdot 1.5mol/L}

Next Step Convert Units

∴

k final = \frac{450mol/m³*s \cdot (3000mol/m³ \cdot (1 + (\frac{9000mol/m³}{19000mol/m³})) + 1500mol/m³)}{100000mol/m³ \cdot 1500mol/m³}

Next Step Prepare to Evaluate

∴

k final = \frac{450 \cdot (3000 \cdot (1 + (\frac{9000}{19000})) + 1500)}{100000 \cdot 1500}

Next Step Evaluate

∴

k final = 0.0177631578947368s⁻¹

LAST Step Rounding Answer

∴

k final = 0.0178s⁻¹

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis Formula Elements

Variables

Final Rate Constant for Catalysis

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

Symbol: k_final

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

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.

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.

Inhibitor Concentration

The Inhibitor concentration is defined as the number of moles of inhibitor present per liter of solution of the system.

Symbol: I

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

Enzyme Inhibitor Dissociation Constant

The Enzyme Inhibitor Dissociation Constant is measured by the method in which the inhibitor is titrated into a solution of enzyme and the heat released or absorbed is measured.

Symbol: K_i

Measurement: Molar ConcentrationUnit: mol/L

Note: Value can be positive or negative.

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.

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.

Credits

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has created this Formula and 700+ more formulas!

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Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Formula and 1600+ more formulas!

Other formulas in Competitive Inhibitor category

Go Modifying Factor of Enzyme Substrate Complex

α' = 1 + (\frac{I}{K i'})

Go Initial Rate of System given Rate Constant and Enzyme Substrate Complex Concentration

V RC = k 2 \cdot ES

See More

How to Evaluate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis evaluator uses Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration) to evaluate the Final Rate Constant for Catalysis, The Final rate constant for competitive inhibition of enzyme catalysis formula is defined as a plot of the reaction velocity (V0) associated with the concentration [S] of the substrate can then be used to determine values such as Vmax, initial velocity, and Km. Final Rate Constant for Catalysis is denoted by k_final symbol.

How to evaluate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis using this online evaluator? To use this online evaluator for Final Rate Constant for Competitive Inhibition of Enzyme Catalysis, enter Initial Reaction Rate (V₀), Michaelis Constant (K_M), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (K_i), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]) and hit the calculate button.

FAQs on Final Rate Constant for Competitive Inhibition of Enzyme Catalysis

What is the formula to find Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

The formula of Final Rate Constant for Competitive Inhibition of Enzyme Catalysis is expressed as Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration). Here is an example- 0.017763 = (450*(3000*(1+(9000/19000))+1500))/(100000*1500).

How to calculate Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

With Initial Reaction Rate (V₀), Michaelis Constant (K_M), Inhibitor Concentration (I), Enzyme Inhibitor Dissociation Constant (K_i), Substrate Concentration (S) & Initial Enzyme Concentration ([E₀]) we can find Final Rate Constant for Competitive Inhibition of Enzyme Catalysis using the formula - Final Rate Constant for Catalysis = (Initial Reaction Rate*(Michaelis Constant*(1+(Inhibitor Concentration/Enzyme Inhibitor Dissociation Constant))+Substrate Concentration))/(Initial Enzyme Concentration*Substrate Concentration).

Can the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis be negative?

Yes, the Final Rate Constant for Competitive Inhibition of Enzyme Catalysis, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Final Rate Constant for Competitive Inhibition of Enzyme Catalysis?

Final Rate Constant for Competitive Inhibition of Enzyme Catalysis 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 Final Rate Constant for Competitive Inhibition of Enzyme Catalysis can be measured.

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