Catalytic Rate Constant given Reverse and Forward Rate Constant Calculator

✖The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.ⓘ Forward Rate Constant [k_f]			+10% -10%
✖The Catalyst Concentration is the number of moles of catalyst present in the per liter of solution.ⓘ Catalyst Concentration [E]			+10% -10%
✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration [S]			+10% -10%
✖The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.ⓘ Enzyme Substrate Complex Concentration [ES]			+10% -10%
✖The Reverse Rate Constant is defined as the rate constant for the backward reaction.ⓘ Reverse Rate Constant [k_r]			+10% -10%

✖The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.ⓘ Catalytic Rate Constant given Reverse and Forward Rate Constant [k_cat]

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Formula

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Catalytic Rate Constant given Reverse and Forward Rate Constant

Formula

`"k"_{"cat"} = (("k"_{"f"}*"E"*"S")/"ES")-"k"_{"r"}`

Example

`"5875s⁻¹"=(("6.9s⁻¹"*"25mol/L"*"1.5mol/L")/"10mol/L")-"20mol/L*s"`

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Catalytic Rate Constant given Reverse and Forward Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant
k_cat = ((k_f*E*S)/ES)-k_r
This formula uses 6 Variables

Variables Used

Catalytic Rate Constant - (Measured in 1 Per Second) - The Catalytic Rate Constant is defined as the rate constant for conversion of the enzyme-substrate complex to enzyme and product.
Forward Rate Constant - (Measured in 1 Per Second) - The Forward Rate Constant is defined as the rate constant for the forward occurring reaction.
Catalyst Concentration - (Measured in Mole per Cubic Meter) - The Catalyst Concentration is the number of moles of catalyst present in the per liter of solution.
Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Enzyme Substrate Complex Concentration - (Measured in Mole per Cubic Meter) - The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate.
Reverse Rate Constant - (Measured in Mole per Cubic Meter Second) - The Reverse Rate Constant is defined as the rate constant for the backward reaction.

STEP 1: Convert Input(s) to Base Unit

Forward Rate Constant: 6.9 1 Per Second --> 6.9 1 Per Second No Conversion Required
Catalyst Concentration: 25 Mole per Liter --> 25000 Mole per Cubic Meter (Check conversion here)
Substrate Concentration: 1.5 Mole per Liter --> 1500 Mole per Cubic Meter (Check conversion here)
Enzyme Substrate Complex Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion here)
Reverse Rate Constant: 20 Mole per Liter Second --> 20000 Mole per Cubic Meter Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_cat = ((k_f*E*S)/ES)-k_r --> ((6.9*25000*1500)/10000)-20000

Evaluating ... ...

k_cat = 5875

STEP 3: Convert Result to Output's Unit

5875 1 Per Second --> No Conversion Required

FINAL ANSWER

5875 1 Per Second <-- Catalytic Rate Constant

(Calculation completed in 00.004 seconds)

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< 16 Rate Constants of Enzymatic Reaction Calculators

Forward Rate Constant in Enzymatic Reaction mechanism

Go Forward Rate Constant = (Reverse Rate Constant*Enzyme Substrate Complex Concentration)/(Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))

Reverse Rate Constant in Enzymatic Reaction Mechanism

Go Reverse Rate Constant = (Forward Rate Constant*Substrate Concentration*(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration))/Enzyme Substrate Complex Concentration

Forward Rate Constant given Reverse and Catalytic Rate Constant

Go Forward Rate Constant = (Reverse Rate Constant+Catalytic Rate Constant)*(Enzyme Substrate Complex Concentration/(Catalyst Concentration*Substrate Concentration))

Reverse Rate Constant given Forward and Catalytic Rate Constants

Go Reverse Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Catalytic Rate Constant

Catalytic Rate Constant given Reverse and Forward Rate Constant

Go Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant

Catalytic Rate Constant given Dissociation Rate Constant

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

Dissociation Rate Constant given Catalytic Rate Constant

Go Dissociation Rate Constant = ((Catalytic Rate Constant*Initial Enzyme Concentration*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration

Catalytic Rate Constant at Low Substrate Concentration

Go Catalytic Rate Constant = (Initial Reaction Rate*Michaelis Constant)/(Initial Enzyme Concentration*Substrate Concentration)

Dissociation Rate Constant given Concentration of Enzyme and Substrate

Go Dissociation Rate Constant = ((Maximum Rate*Substrate Concentration)/Initial Reaction Rate)-Substrate Concentration

Reverse Rate Constant given Michaelis Constant

Go Reverse Rate Constant = (Michaelis Constant*Forward Rate Constant)-Catalytic Rate Constant

Rate Constant given Initial Rate and Enzyme Substrate Complex Concentration

Go Final Rate Constant = Initial Reaction Rate/Enzyme Substrate Complex Concentration

Forward Rate Constant given Dissociation Rate Constant

Go Forward Rate Constant = (Reverse Rate Constant/Dissociation Rate Constant)

Reverse Rate Constant given Dissociation Rate Constant

Go Reverse Rate Constant = (Dissociation Rate Constant*Forward Rate Constant)

Dissociation Rate Constant in Enzymatic Reaction Mechanism

Go Dissociation Rate Constant = Reverse Rate Constant/Forward Rate Constant

Rate of Chemical Reaction

Go Rate of chemical reaction = Change in concentration/Total time interval

Rate Constant given Maximum Rate and Initial Enzyme Concentration

Go Final Rate Constant = Maximum Rate/Initial Enzyme Concentration

Catalytic Rate Constant given Reverse and Forward Rate Constant Formula

Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant
k_cat = ((k_f*E*S)/ES)-k_r

What is Michaelis–Menten kinetics model?

In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics. Biochemical reactions involving a single substrate are often assumed to follow Michaelis–Menten kinetics, without regard to the model's underlying assumptions. The model takes the form of an equation describing the rate of enzymatic reactions, by relating the reaction rate of formation of product to the concentration of a substrate.

How to Calculate Catalytic Rate Constant given Reverse and Forward Rate Constant?

Catalytic Rate Constant given Reverse and Forward Rate Constant calculator uses Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant to calculate the Catalytic Rate Constant, The Catalytic rate constant given reverse and forward rate constant formula is defined as the relation with enzymatic catalyst and substrate concentration with an enzyme-substrate complex concentration in an enzymatic reaction mechanism. Catalytic Rate Constant is denoted by k_cat symbol.

How to calculate Catalytic Rate Constant given Reverse and Forward Rate Constant using this online calculator? To use this online calculator for Catalytic Rate Constant given Reverse and Forward Rate Constant, enter Forward Rate Constant (k_f), Catalyst Concentration (E), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES) & Reverse Rate Constant (k_r) and hit the calculate button. Here is how the Catalytic Rate Constant given Reverse and Forward Rate Constant calculation can be explained with given input values -> 5875 = ((6.9*25000*1500)/10000)-20000.

FAQ

What is Catalytic Rate Constant given Reverse and Forward Rate Constant?

The Catalytic rate constant given reverse and forward rate constant formula is defined as the relation with enzymatic catalyst and substrate concentration with an enzyme-substrate complex concentration in an enzymatic reaction mechanism and is represented as k_cat = ((k_f*E*S)/ES)-k_r or Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant. The Forward Rate Constant is defined as the rate constant for the forward occurring reaction, The Catalyst Concentration is the number of moles of catalyst present in the per liter of solution, The Substrate Concentration is the number of moles of substrate per liter solution, The Enzyme Substrate Complex Concentration is defined as the concentration of intermediate formed from the reaction of enzyme and substrate & The Reverse Rate Constant is defined as the rate constant for the backward reaction.

How to calculate Catalytic Rate Constant given Reverse and Forward Rate Constant?

The Catalytic rate constant given reverse and forward rate constant formula is defined as the relation with enzymatic catalyst and substrate concentration with an enzyme-substrate complex concentration in an enzymatic reaction mechanism is calculated using Catalytic Rate Constant = ((Forward Rate Constant*Catalyst Concentration*Substrate Concentration)/Enzyme Substrate Complex Concentration)-Reverse Rate Constant. To calculate Catalytic Rate Constant given Reverse and Forward Rate Constant, you need Forward Rate Constant (k_f), Catalyst Concentration (E), Substrate Concentration (S), Enzyme Substrate Complex Concentration (ES) & Reverse Rate Constant (k_r). With our tool, you need to enter the respective value for Forward Rate Constant, Catalyst Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration & Reverse Rate Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Catalytic Rate Constant?

In this formula, Catalytic Rate Constant uses Forward Rate Constant, Catalyst Concentration, Substrate Concentration, Enzyme Substrate Complex Concentration & Reverse Rate Constant. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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