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Substrate Concentration given Maximum Rate and Dissociation Rate Constant Calculator

Substrate Concentration Formula:

\[ S = \frac{K_D \times V_0}{V_{max} - V_0} \]

mol/m³
mol/(m³·s)
mol/(m³·s)
mol/m³

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1. What is Substrate Concentration?

Definition: The Substrate Concentration is the number of moles of substrate per liter solution in a chemical reaction.

Purpose: This calculator helps determine the substrate concentration when you know the dissociation rate constant, initial reaction rate, and maximum rate.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{K_D \times V_0}{V_{max} - V_0} \]

Where:

Explanation: The formula calculates substrate concentration based on the relationship between reaction rates and the dissociation constant.

3. Importance of Substrate Concentration Calculation

Details: Accurate substrate concentration calculations are crucial for enzyme kinetics studies, biochemical reactions, and pharmaceutical research.

4. Using the Calculator

Tips: Enter the dissociation rate constant (KD), initial reaction rate (V0), and maximum rate (Vmax). Note that V0 must be less than Vmax.

5. Frequently Asked Questions (FAQ)

Q1: What is the dissociation rate constant (KD)?
A: It's the ratio of the reverse and forward rate constants in a reaction, representing the equilibrium between bound and unbound states.

Q2: How is initial reaction rate (V0) determined?
A: V0 is measured experimentally as the reaction rate at the very beginning of the reaction when product formation is linear.

Q3: What does maximum rate (Vmax) represent?
A: Vmax is the maximum reaction rate achieved when the enzyme is saturated with substrate.

Q4: What units should I use?
A: The calculator uses mol/m³ for concentration and mol/(m³·s) for rates, but other consistent units can be used as long as they're compatible.

Q5: What if I get an error?
A: Ensure V0 is less than Vmax and all values are positive numbers.

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