FUNDAMENTALS OF BIOCHEMISTRY WPNG 1-SEME
FUNDAMENTALS OF BIOCHEMISTRY WPNG 1-SEME
5th Edition
ISBN: 9781119750192
Author: Voet
Publisher: WILEY
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Chapter 10, Problem 1E
Summary Introduction

To calculate: The free energy change for glucose to enter into cells at the given concentration.

Concept introduction: The free energy change for moving a substance across a membrane depends upon the concentrations on both sides of the membrane. In case of ions, the free energy change depends upon the membrane potential. A random distribution of molecules is an energy-rich condition because when all the concentrations are equal, the free energy change is minimized. Free energy change is denoted as ΔG.

Expert Solution & Answer
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Explanation of Solution

Explanation:

The extracellular concentration of glucose is 5mM = 0.005M.

The intracellular concentration of glucose is 3mM = 0.003M.

The free energy change ΔG = RTln[glucose]in[glucose]out (1)

Here,

R is the gas constant = 8.3145 J · K-1· mol-1.

T is the temperature = 298K.

Substitute the given values in Equation (1).

ΔG =(8.3145 J K-1 mol-1)(298K)ln[0.003][0.005]=(8.3145 J K-1 mol-1)(298K)ln(0.6)=(8.3145 J K-1 mol-1)(298K)(0.51082)= -1270 J mol-1-1.27kJ ×mol-1

Conclusion

Conclusion:

The free energy change for glucose to enter into cells at the given concentration is -1.27kJ · mol-1.

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