The Michaelis-Menten equation is an expression of the relationship between the initial velocity Vo of an enzymatic reaction and substrate concentration [S]. There are three conditions that are useful for simplifying the Michaelis–Menten equation to an expression from which the effect of [S] on the rate can be more readily determined. Match the condition (e.g., [S] = Km) with the statement or statements that describe it. Doubling [S] will almost double the rate. Half of the active sites are occupied by substrate. About 90% of the active sites are occupied by substrate. Doubling [S] will have little effect on the rate. Less than 10% of the active sites are occupied by substrate. This condition will result in the highest rate. Answer Bank [S] = 0.1 Km [S] = Km [S] = 10 Km

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**Michaelis–Menten Equation: Understanding Substrate Concentration and Reaction Rate**

The Michaelis–Menten equation describes the relationship between the initial velocity \( V_0 \) of an enzymatic reaction and the substrate concentration \([S]\). Understanding this relationship helps in determining how changes in \([S]\) affect the reaction rate.

**Match the Conditions with the Corresponding Statements:**

1. **Doubling \([S]\) will almost double the rate.**
2. **Half of the active sites are occupied by substrate.**
3. **About 90% of the active sites are occupied by substrate.**
4. **Doubling \([S]\) will have little effect on the rate.**
5. **Less than 10% of the active sites are occupied by substrate.**
6. **This condition will result in the highest rate.**

**Answer Bank:**

- \([S] = 0.1 \, K_m\)
- \([S] = K_m\)
- \([S] = 10 \, K_m\)

**Explanation:**

- **\([S] = 0.1 \, K_m\):** 
  - Doubling \([S]\) will almost double the rate.
  - Less than 10% of the active sites are occupied by substrate.

- **\([S] = K_m\):**
  - Half of the active sites are occupied by substrate.

- **\([S] = 10 \, K_m\):**
  - About 90% of the active sites are occupied by substrate.
  - Doubling \([S]\) will have little effect on the rate.
  - This condition will result in the highest rate.
Transcribed Image Text:**Michaelis–Menten Equation: Understanding Substrate Concentration and Reaction Rate** The Michaelis–Menten equation describes the relationship between the initial velocity \( V_0 \) of an enzymatic reaction and the substrate concentration \([S]\). Understanding this relationship helps in determining how changes in \([S]\) affect the reaction rate. **Match the Conditions with the Corresponding Statements:** 1. **Doubling \([S]\) will almost double the rate.** 2. **Half of the active sites are occupied by substrate.** 3. **About 90% of the active sites are occupied by substrate.** 4. **Doubling \([S]\) will have little effect on the rate.** 5. **Less than 10% of the active sites are occupied by substrate.** 6. **This condition will result in the highest rate.** **Answer Bank:** - \([S] = 0.1 \, K_m\) - \([S] = K_m\) - \([S] = 10 \, K_m\) **Explanation:** - **\([S] = 0.1 \, K_m\):** - Doubling \([S]\) will almost double the rate. - Less than 10% of the active sites are occupied by substrate. - **\([S] = K_m\):** - Half of the active sites are occupied by substrate. - **\([S] = 10 \, K_m\):** - About 90% of the active sites are occupied by substrate. - Doubling \([S]\) will have little effect on the rate. - This condition will result in the highest rate.
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