5.4 Give the Vmax and Km for this enzyme that obeys Michaelis-Menten kinetics. Use 2 sig figs. 0.6 y = 0.5032x + 0.0516 0.5 0.4 0.3 0.2 0.1 -0.4 -0.2 0.2 0.4 0.6 0.8 1 -0.1 1/[S] (mM) 1/v (mmol/sec)

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...
icon
Related questions
Question

Give the Vmax and Km for this enzyme that obeys Michaelis-Menten kinetics. Use 2 sig figs.

The given image is a Lineweaver-Burk plot, which is used to determine the kinetic parameters of an enzyme that follows Michaelis-Menten kinetics. The graph is a double-reciprocal plot where the y-axis represents \( \frac{1}{v} \) (inverse of reaction velocity in mmol/sec) and the x-axis represents \( \frac{1}{[S]} \) (inverse of substrate concentration in mM).

The equation of the line is given as:

\[ y = 0.5032x + 0.0516 \]

This equation is in the form of a straight line \( y = mx + b \), where:
- \( m \) (slope) = 0.5032 
- \( b \) (y-intercept) = 0.0516

To find the maximum velocity (\( V_{max} \)) and the Michaelis constant (\( K_m \)):
- \( V_{max} \) is the reciprocal of the y-intercept (\( b \)):
  \[ V_{max} = \frac{1}{0.0516} \]
  
- \( K_m \) can be calculated using the slope (\( m \)) and \( V_{max} \):
  \[ K_m = \text{slope} \times V_{max} = 0.5032 \times V_{max} \]

These calculations will give the values of \( V_{max} \) and \( K_m \) with two significant figures.
Transcribed Image Text:The given image is a Lineweaver-Burk plot, which is used to determine the kinetic parameters of an enzyme that follows Michaelis-Menten kinetics. The graph is a double-reciprocal plot where the y-axis represents \( \frac{1}{v} \) (inverse of reaction velocity in mmol/sec) and the x-axis represents \( \frac{1}{[S]} \) (inverse of substrate concentration in mM). The equation of the line is given as: \[ y = 0.5032x + 0.0516 \] This equation is in the form of a straight line \( y = mx + b \), where: - \( m \) (slope) = 0.5032 - \( b \) (y-intercept) = 0.0516 To find the maximum velocity (\( V_{max} \)) and the Michaelis constant (\( K_m \)): - \( V_{max} \) is the reciprocal of the y-intercept (\( b \)): \[ V_{max} = \frac{1}{0.0516} \] - \( K_m \) can be calculated using the slope (\( m \)) and \( V_{max} \): \[ K_m = \text{slope} \times V_{max} = 0.5032 \times V_{max} \] These calculations will give the values of \( V_{max} \) and \( K_m \) with two significant figures.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY