A research group discovers a new version of the rainbowase enzyme, which they call rainbowase*, that catalyzes the chemical reaction:\[ \text{RAIN} \rightleftharpoons \text{rainbows} \]The researchers began to characterize the enzyme. a) In the 1st experiment, with \([\text{E}_t]\) at 4 nM, they find that the \( V_{\text{max}} \) is 1.6 μM s⁻¹. Based on this experiment, what is the kcat for rainbowase*? (include units and show work).b) In another experiment, the \([\text{E}_t]\) at 1 nM and \([\text{RAIN}]\) at 30 μM, the researchers find that \( V_0 = 300 \) nM s⁻¹. What is the measure \( K_M \) for rainbowase* for its substrate RAIN? (include units and show work). c) Further research shows that the purified rainbowase* used in the first two experiments was actually contaminated with a reversible inhibitor called “NO RAIN, NO rainbows”. When “NO RAIN, NO rainbows” is carefully removed from the rainbowase* preparation, and the two experiments are repeated, the measured \( V_{\text{max}} \) in (a) is increased to 4.8 µM\(^{-1}\), and the measured \( K_M \) is (b) now 15 µM. For the inhibitor “NO RAIN, NO rainbows”, calculate the values of α and α’.d) Based on the information given above, what type of inhibitor is “NO RAIN, NO rainbows”? (competitive, uncompetitive, mixed inhibitor, or other)?

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A research group discovers a new version of the rainbowase enzyme, which they call rainbowase*, that catalyzes the chemical reaction: RAIN rainbows The researchers began to characterize the enzyme. a) In the 1st experiment, with [E] at 4 nM, they find that the Vmax is 1.6 µM s-1. Based on this experiment, what is the kcat for rainbowase*? (include units and show work).

A research group discovers a new version of the rainbowase enzyme, which they call rainbowase, that catalyzes the chemical reaction: RAIN rainbows The researchers began to characterize the enzyme. a) In the 1st experiment, with [E] at 4 nM, they find that the Vmax is 1.6 µM s-1. Based on this experiment, what is the kcat for rainbowase? (include units and show work).

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

A research group discovers a new version of the rainbowase enzyme, which they call rainbowase*, that catalyzes the chemical reaction:

\[ \text{RAIN} \rightleftharpoons \text{rainbows} \]

The researchers began to characterize the enzyme.
a) In the 1st experiment, with \([\text{E}_t]\) at 4 nM, they find that the \( V_{\text{max}} \) is 1.6 μM s⁻¹. Based on this experiment, what is the kcat for rainbowase*? (include units and show work).

b) In another experiment, the \([\text{E}_t]\) at 1 nM and \([\text{RAIN}]\) at 30 μM, the researchers find that \( V_0 = 300 \) nM s⁻¹. What is the measure \( K_M \) for rainbowase* for its substrate RAIN? (include units and show work).

c) Further research shows that the purified rainbowase* used in the first two experiments was actually contaminated with a reversible inhibitor called “NO RAIN, NO rainbows”. When “NO RAIN, NO rainbows” is carefully removed from the rainbowase* preparation, and the two experiments are repeated, the measured \( V_{\text{max}} \) in (a) is increased to 4.8 µM\(^{-1}\), and the measured \( K_M \) is (b) now 15 µM. For the inhibitor “NO RAIN, NO rainbows”, calculate the values of α and α’.

d) Based on the information given above, what type of inhibitor is “NO RAIN, NO rainbows”? (competitive, uncompetitive, mixed inhibitor, or other)?

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