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Standard Gibbs Free Energy Change

The standard Gibbs free energy change is the change of Gibbs free energy that accompanies the formation of one mole of that substance from its component elements, at their standard states.

Introduction

To explain the changes in both entropy and enthalpy, J. Willard Gibbs has defined a new function called Gibbs energy change or Gibbs potential G. This function is independent of variation in pressure and temperature. The change in Gibbs energy  depends only on the state of the system, not on how that state was achieved. 

 The change in Gibbs energy  associated with the formation of a compound from its component elements under standard conditions is known as the standard Gibbs free energy of formation. The concepts of free energy of a process like a rate or an equilibrium and the free energy of a standard process often equilibrium, which may be the process under investigation or  other standard reaction.

Standard Gibbs free energy 

The maximum work (or reversible) work that can be done by a thermodynamic system at constant pressure and temperature is known as the Gibbs energy. Reversible work in thermodynamics means a method where work is performed in such a way that the system is in perfect equilibrium with its environment. In relation to chemical reactions, the word reversible means that the reaction can be carried out in both directions simultaneously and a dynamic equilibrium is always maintained. This further means that reactions should proceed in both directions with a decrease in free energy, which seems to be impossible. This is only possible if, in equilibrium, the system’s Gibbs energy reaches its minimum value. Otherwise, the system will spontaneously  switches to the configuration of lower free energy.

The equation/formula  of Gibbs free energy 

We can say a thermodynamics system is in equilibrium when it’s intensive properties such as temperature and pressure and extensive properties (U,G,A) are constant. By seeing the equation given below we can say that if the reaction is reversible and the Gibbs free energy is zero , then the system will be in equilibrium. 

For endothermic reaction

For a reaction to be endothermic ,the value of change in enthalpy of a reaction (∆rH) is large and positive , in this the process is spontaneous under two conditions:- 

  • Temperature should be very high to make the Gibbs free energy value negative. 
  • Change in entropy should be very high to make the Gibbs free energy negative. 

For exothermic reaction

For the reaction to be exothermic , the enthalpy of the system (∆rH) should always be negative which makes the Gibbs free energy (∆rG) negative. 

The unit of Gibbs free energy is KiloJoule . It is usually represented by kJ/mol.

Spontaneity of the reaction 

The reaction is favourable which means spontaneous –  the value of ΔG is negative.

The reaction is not favourable which means non-spontaneous – the value of ΔG is positive.

The reaction is said to be in equilibrium if the value of gibbs free energy (ΔrG) is zero.

Standard free energy change in biochemical reactions

In biochemical reactions, the standard free energy change is usually expressed as G, which is the free energy change of a reaction in aqueous solution at  pH = 7, which roughly corresponds to the conditions  inside a cell. Most of the biological reactions (such as the synthesis of macromolecules) are thermodynamically unfavorable (G > 0) under cellular conditions. In order for such  reactions to take place, an additional source of energy is required. For example, consider the reaction :

A⇌B      ∆G= -10kJ/mol

The conversion  from A to B is energetically unfavorable, so the reaction proceeds in the reverse direction rather than the forward direction. However, the reaction could be driven in the forward direction by coupling the A to B conversion with an energetically favorable reaction such as 

C ⇌ D , ∆G= +20kJ/mol

When these two reactions are mixed, the coupled reaction can be written as follows:-

A+C ⇌ B+D , ∆G= -10kJ/mol

The G of the combined reaction is the sum of free energy changes of its individual components, so the coupled reaction is energetically favorable and will proceed as described. Thus, the energetically unfavorable conversion of A to B is driven by coupling  to a second reaction which is accompanied by a large decrease in free energy. Enzymes are responsible for the coordinated execution of such coupled reactions. 

The cell uses this  fundamental mechanism to  drive many energetically unfavorable reactions that must take place in biological systems. Adenosine-5-triphosphate (ATP) plays a central role in this process by playing a role as a store of free energy inside the cell.

Conclusion

In the above sections the reaction can be interpreted in the broadest possible sense as any change of matter from one form to another. In addition to these chemical reactions, a reaction can be as simple as ice (reactants) turning to liquid water (products), the nuclear reactions which take place in the interior of stars, or elementary particle reactions in the early universe. It doesn’t matter what is the process, the direction of spontaneous change (at constant temperature and pressure) is always in the direction of decreasing free energy.Many reactions in the body should be spontaneous in order for cells to function. Whereas there are some non spontaneous reactions in our body for that we are able to couple them to thermodynamically favorable (exergonic) reactions that allows the cell to perform even more complex functions.

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What is standard free energy change ?

Ans:- The amount of energy released during the conversion of reactants to product under standard conditions is known...Read full

Write the formula for the Gibbs free energy in terms of entropy and enthalpy ?

Define Gibbs free energy?

Ans:- The maximum work (or reversible) work that can be done by a thermodynamic system at constant pressure and temp...Read full

Give the relation of standard Gibbs free energy, G and equilibrium constant Kp.

What is the Difference Between ΔG° and ΔG?

Ans :You must understand the difference between these two amounts since the (...Read full