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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

One reaction that occurs in human metabolism is

Chapter 17, Problem 76E, One reaction that occurs in human metabolism is For this reaction G= 14 kJ at 25c. a. Calculate K

For this reaction ∆G°= 14 kJ at 25°c.

a. Calculate K for this reaction at 25°C.

b. In a living cell this reaction is coupled with the hydrolysis of ATP. (See Exercise 75.) Calculate ∆G° and K at 25°C for the following reaction:

Glutamic acid ( a q ) + ATP ( a q ) + NH 3 ( a q ) Glutamine ( a q ) + ADP ( a q ) + H 2 PO 4 ( a q )

(a)

Interpretation Introduction

Interpretation: One of the reactions of human metabolism and its ΔG° value is given. The value of K is to be calculated at the given temperature. The coupling of the stated reaction with the reaction corresponding to the hydrolysis of ATP is given. The value of ΔG° and K for this reaction at given temperature is to be calculated.

Concept introduction: Equilibrium constant K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, then the free energy change will be,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

Explanation

Explanation

Given

The value of ΔG° for the reaction of human metabolism is 14kJ .

Given temperature is 25°C .

The conversion of degree Celsius (°C) into Kelvin (K) is done as,

T(K)=T(°C)+273

Hence,

The conversion of 25°C into Kelvin is,

T(K)=T(°C)+273T(K)=(25+273)K=298K

Formula

The expression for free energy change for first reaction is,

ΔG°=RTln(K)<

(b)

Interpretation Introduction

Interpretation: One of the reactions of human metabolism and its ΔG° value is given. The value of K is to be calculated at the given temperature. The coupling of the stated reaction with the reaction corresponding to the hydrolysis of ATP is given. The value of ΔG° and K for this reaction at given temperature is to be calculated.

Concept introduction: Equilibrium constant K , is defined as the ratio of the concentration of products to that of the reactants at equilibrium. If a given reaction is at equilibrium, then the free energy change will be,

ΔG=0Q=K

The expression for free energy change is,

ΔG°=RTln(K)

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