(c) For a certain reaction, K = 1.350 mM and A = 0.200. For which concentration s is R(s) equal to 75% of its limiting value? (Use decimal notation. Give your answer to three decimal places.) S = mM

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Specifically number c. 

(c) For a certain reaction, \( K = 1.350 \, \text{mM} \) and \( A = 0.200 \). For which concentration \( s \) is \( R(s) \) equal to 75% of its limiting value?

(Use decimal notation. Give your answer to three decimal places.)

\[
s = \underline{\hspace{10cm}} \, \text{mM}
\]
Transcribed Image Text:(c) For a certain reaction, \( K = 1.350 \, \text{mM} \) and \( A = 0.200 \). For which concentration \( s \) is \( R(s) \) equal to 75% of its limiting value? (Use decimal notation. Give your answer to three decimal places.) \[ s = \underline{\hspace{10cm}} \, \text{mM} \]
**Michaelis-Menten Equation**

The Michaelis-Menten equation describes the reaction rate \( R(s) \) when an enzyme is combined with a substrate concentration \( s \). The formula, with constants \( A \) and \( K \), is given by:

\[ R(s) = \frac{As}{K + s} \]

**Tasks:**

(a) **Find the Limiting Reaction Rate:**

As the concentration \( s \) approaches infinity, compute the limiting reaction rate \( \lim_{{s \to \infty}} R(s) \).

- **Solution:** The limiting reaction rate is \( A \).

(b) **Find the Reaction Rate \( R(K) \):**

Determine the reaction rate when \( s = K \).

- **Solution:** \( R(K) = \frac{A}{2} \)

(c) **Specific Reaction Condition:**

For a given reaction where \( K = 1.350 \) mM and \( A = 0.200 \), determine the concentration \( s \) for which \( R(s) \) equals 75% of its limiting value \( A \).

- **Solution:** Use decimal notation to solve and give the answer to three decimal places.
Transcribed Image Text:**Michaelis-Menten Equation** The Michaelis-Menten equation describes the reaction rate \( R(s) \) when an enzyme is combined with a substrate concentration \( s \). The formula, with constants \( A \) and \( K \), is given by: \[ R(s) = \frac{As}{K + s} \] **Tasks:** (a) **Find the Limiting Reaction Rate:** As the concentration \( s \) approaches infinity, compute the limiting reaction rate \( \lim_{{s \to \infty}} R(s) \). - **Solution:** The limiting reaction rate is \( A \). (b) **Find the Reaction Rate \( R(K) \):** Determine the reaction rate when \( s = K \). - **Solution:** \( R(K) = \frac{A}{2} \) (c) **Specific Reaction Condition:** For a given reaction where \( K = 1.350 \) mM and \( A = 0.200 \), determine the concentration \( s \) for which \( R(s) \) equals 75% of its limiting value \( A \). - **Solution:** Use decimal notation to solve and give the answer to three decimal places.
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