Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
9th Edition
ISBN: 9781133949640
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
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Chapter 24, Problem 35IL
Interpretation Introduction

Interpretation:

The value of Ratemax for the given reaction has to be determined.

Concept introduction:

For enzymatic reaction, the common equation is given below,

  E+SESE+P

Here,

E is the enzyme.

S is the substrate.

ES is the enzyme substrate complex.

P is the product.

The general equation for Michaelis-Menten is dervied from above equation,

  v°=Vmax([S][S]+Km)                                                                                      (1)

Here,

v° is the initial rate of the reaction.

Vmax is the rate maximum of the reaction.

S is the substrate concentration.

Km is the Michaelis-Menten constant which is half of the maximum velocity of the reaction.

Take the Reciprocal of both the sides in equation (1),

  1v°=(KmVmax)(1[S])+1Vmax (2)

This equation is called as Lineweaver-Burk equation. By using this equation the value of Ratemax is calculated for the given reaction.

Expert Solution & Answer
Check Mark

Explanation of Solution

The Ratemax for the given reaction is calculated below,

Given:

The substare concentration and reaction rate are given.

By using the equation,

  1v°=(KmVmax)(1[S])+1Vmax

Calculate the value of 1v° and 1[S],

Chemistry & Chemical Reactivity, Chapter 24, Problem 35IL , additional homework tip  1

The graph between 1v° and 1[S] is plotted by taking the values from table (1).

Chemistry & Chemical Reactivity, Chapter 24, Problem 35IL , additional homework tip  2

The equation for the straight line obtained from the graph is y=0.148x+0.0092.

1v°×106=0.148×105x+1Vmax

Rearrange the equation, in form of y = mx + c.

y=1.5x+9200

The value of intercept comes from the graph is 9200.

1Ratemax=9200

Rearrange for Ratemax,

Ratemax=19200=1.1×104mol.L1min1.

So, the value of Ratemax is 1.1×104mol.L-1min1.

The value of Ratemax for the given reaction is 1.1×10-4molL-1min1.

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Chapter 24 Solutions

Chemistry & Chemical Reactivity

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