Substrate Concentration given Maximum Rate and Dissociation Rate Constant Calculator

✖The Dissociation Rate Constant is the ratio of reverse and forward rate constant.ⓘ Dissociation Rate Constant [K_D]			+10% -10%
✖The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.ⓘ Initial Reaction Rate [V₀]			+10% -10%
✖The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.ⓘ Maximum Rate [V_max]			+10% -10%

✖The Substrate Concentration is the number of moles of substrate per liter solution.ⓘ Substrate Concentration given Maximum Rate and Dissociation Rate Constant [S]

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Formula

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Substrate Concentration given Maximum Rate and Dissociation Rate Constant

Formula

`"S" = ("K"_{"D"}*"V"_{"0"})/("V"_{"max"}-"V"_{"0"})`

Example

`"0.064855mol/L"=("5.7mol/L"*"0.45mol/L*s")/("40mol/L*s"-"0.45mol/L*s")`

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Substrate Concentration given Maximum Rate and Dissociation Rate Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
S = (K_D*V₀)/(V_max-V₀)
This formula uses 4 Variables

Variables Used

Substrate Concentration - (Measured in Mole per Cubic Meter) - The Substrate Concentration is the number of moles of substrate per liter solution.
Dissociation Rate Constant - (Measured in Mole per Cubic Meter) - The Dissociation Rate Constant is the ratio of reverse and forward rate constant.
Initial Reaction Rate - (Measured in Mole per Cubic Meter Second) - The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place.
Maximum Rate - (Measured in Mole per Cubic Meter Second) - The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.

STEP 1: Convert Input(s) to Base Unit

Dissociation Rate Constant: 5.7 Mole per Liter --> 5700 Mole per Cubic Meter (Check conversion here)
Initial Reaction Rate: 0.45 Mole per Liter Second --> 450 Mole per Cubic Meter Second (Check conversion here)
Maximum Rate: 40 Mole per Liter Second --> 40000 Mole per Cubic Meter Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (K_D*V₀)/(V_max-V₀) --> (5700*450)/(40000-450)

Evaluating ... ...

S = 64.8546144121365

STEP 3: Convert Result to Output's Unit

64.8546144121365 Mole per Cubic Meter -->0.0648546144121365 Mole per Liter (Check conversion here)

FINAL ANSWER

0.0648546144121365 ≈ 0.064855 Mole per Liter <-- Substrate Concentration

(Calculation completed in 00.020 seconds)

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Substrate Concentration given Maximum Rate and Dissociation Rate Constant Formula

Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate)
S = (K_D*V₀)/(V_max-V₀)

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 Substrate Concentration given Maximum Rate and Dissociation Rate Constant?

Substrate Concentration given Maximum Rate and Dissociation Rate Constant calculator uses Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate) to calculate the Substrate Concentration, The Substrate concentration given maximum rate and dissociation rate constant formula is defined as the relation with the dissociation rate constant of enzymatic chemical equilibrium reaction and with an initial and maximum rate of the system. Substrate Concentration is denoted by S symbol.

How to calculate Substrate Concentration given Maximum Rate and Dissociation Rate Constant using this online calculator? To use this online calculator for Substrate Concentration given Maximum Rate and Dissociation Rate Constant, enter Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀) & Maximum Rate (V_max) and hit the calculate button. Here is how the Substrate Concentration given Maximum Rate and Dissociation Rate Constant calculation can be explained with given input values -> 6.5E-5 = (5700*450)/(40000-450).

FAQ

What is Substrate Concentration given Maximum Rate and Dissociation Rate Constant?

The Substrate concentration given maximum rate and dissociation rate constant formula is defined as the relation with the dissociation rate constant of enzymatic chemical equilibrium reaction and with an initial and maximum rate of the system and is represented as S = (K_D*V₀)/(V_max-V₀) or Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate). The Dissociation Rate Constant is the ratio of reverse and forward rate constant, The Initial Reaction Rate is defined as the initial speed at which a chemical reaction takes place & The Maximum Rate is defined as the maximum speed achieved by the system at saturated substrate concentration.

How to calculate Substrate Concentration given Maximum Rate and Dissociation Rate Constant?

The Substrate concentration given maximum rate and dissociation rate constant formula is defined as the relation with the dissociation rate constant of enzymatic chemical equilibrium reaction and with an initial and maximum rate of the system is calculated using Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/(Maximum Rate-Initial Reaction Rate). To calculate Substrate Concentration given Maximum Rate and Dissociation Rate Constant, you need Dissociation Rate Constant (K_D), Initial Reaction Rate (V₀) & Maximum Rate (V_max). With our tool, you need to enter the respective value for Dissociation Rate Constant, Initial Reaction Rate & Maximum Rate 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 Substrate Concentration?

In this formula, Substrate Concentration uses Dissociation Rate Constant, Initial Reaction Rate & Maximum Rate. We can use 6 other way(s) to calculate the same, which is/are as follows -

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))
Substrate Concentration = (Dissociation Rate Constant*Enzyme Substrate Complex Concentration)/(Initial Enzyme Concentration-Enzyme Substrate Complex Concentration)
Substrate Concentration = (Dissociation Rate Constant*Initial Reaction Rate)/((Catalytic Rate Constant*Initial Enzyme Concentration)-Initial Reaction Rate)
Substrate Concentration = ((Reverse Rate Constant+Catalytic Rate Constant)*Enzyme Substrate Complex Concentration)/(Forward Rate Constant*Catalyst Concentration)

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