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Professor & HoD Department of Pharmaceutical Chemistry, JSS College of Pharmacy, (Constituent College, JSS Academy of Higher Education &Research-Deemed to be University, Mysuru) Ooty-643 001, The Nilgiris, Tamilnadu,INDIA The author has about 23 years of teaching and research experience. The Author has more than 110 research publications in reputed National and International journals and has H-index 16 by scopus. He has also published 9 books. He is a recognized research guide for Ph.D in JSS Academy of Health Education and Research and He served as editorial member and reviewer in many reputed National and International journals. He is the winner in Drug Discovery Hackathon-2020 for Covid-19 Drug discovery organized by Govt of India and also received a Research grant of 14.35 lakhs in phase-II research. He is nominated as BOS member in various universities. He has organized many national and International seminar/ workshop/ Conferences etc sponsored by various funding agencies.

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Tuesday, August 8, 2017

ACIDS, BASE AND BUFFERS

Acids, Bases and Buffers
In Earlier, Acid may be defined as any substance which has a sour taste and its aqueous solution turns blue litmus to red colour.
A base may be defined as any substance which has a bitter taste and its aqueous solution turns red litmus to blue colour.
But these could not be explained the behavior of all acids or bases.
In chemistry, acids and bases have been defined differently by three sets of theories.
Theories of acid and base
  1. Arrhenius theory
According to this theory an acid is a substance which dissociates to give hydrogen ions in water.

Base is a substance which dissociates to give hydroxide ions in water
Eg. Sodium hydroxide in water produces hydroxide ion
            NaOH  + H2O  ------------------>  Na+  + OH-
Limitations
1.     The definition of acid or bases are only in terms of aqueous solutions and not in terms of substance.
2.     This theory is not able to explain acidic or basic in non aqueous solvents. For Ex Ammonium nitrate in liquid ammonia acts as an acid, but it does not give H+ ions.
3.     This theory is not able to explain for the basic substances which does not contain OH- ions, For Ex, Ammonia is a basic.
4.     It cannot be explain acidic character of salts like AlCl3 in aqueous solutions.
5.     The neutralization of acid and base in absence of solvent could not be explained.
2. Bronsted and lowry theory (Proton concept)
According to this theory, Acids are substances which is capable to donate protons H+ to any other substances. They are also called as proton donors.
For  Ex
            HCl     ----------->   H+  + Cl-
            CH3COOH    ------------>    H+  + CH3COO-
Bases are substances which can accept protons H+ from any other substances. They are also called as proton acceptors.
For  Ex
            OH-   +  H+  ---------->  H2O             -
            NH3   +  H+  --------------->   NH4+               
Conjugate acid-base pair
Let as consider a reaction
               HCl  +  H2O    ----------->     H3O+  +  Cl-
         Acid1         Base2                       Acid1         Base2        
In this reaction HCl donates proton to water, therefore it is an acid. On the otherhand, water accept proton from HCl, and therefore it is a base.
            HCl  +  NH3   --------------->  NH4Cl
          Acid           Base                                                                    
Here HCl donates a proton and ammonia accepts this proton and forms ammonium chloride. So HCl is an acid and ammonia is a base. The acid-base pairs, the members of which can be formed each other mutually by gain or loss of protons are called conjugate acid-base pairs.
Water is having dual character because it can accept or donate protons.
            H2O  +  HCl -------------->   H3O+  +  Cl-
           
            H2O  + NH3 -------------------->   NH4+  + OH-
Limitations
1.     This theory is not able to explain about the acids which do not contain proton.
2.     In large no. of acid-base reactions, proton transfer is not taking place.
3. Lewis theory (Electron concept)
According to this theory, acids are chemical substances which accept a lone pair of electrons and are called electron acceptors. Bases are substances which donate a lone pair of electrons in solution and are called electron donors. So the process of neutralization is simply the formation of a co ordinate bond between acid and base.
Eg. Combination of boron trifluride and ammonia


In the above reaction boron trifluoride accepts the lone pair of electron donated by ammonia. So BF3 is an acid and NH3is a base. The behave as acid only when a base is available to accept proton or donate electron and similarly bases
Limitations
1.     According to this theory, the strength of Lewis acids and bases is depend upon the type of reaction, it is not possible to arrange them in any order of their relative strength.
2.     As Lewis acid - base reaction involves electrons, they are expected to be fast reactions, but many reactions are slow.
Relative strength of Acids and Bases
The relative strength of an acid or base is based on the efficiency of donating or accepting protons. These properties of a substances will be affected by the environment, an acid can donate proton easily in proton accepting medium.
With respect to strength there are two classes, strong and weak. Strong acids and bases are dissociate completely in aqueous media, But weak acids and bases do not dissociate completely. The relative strength of an acid or base is determined by dissociation constant K.
The dissociation constant K can be calculated by using the following formula


K =      [Concentration of products]     or       [Concentration of ionized]   .  
            [Concentration of reactants]              [Concentration of unionized]

For example
HCl is a strong acid, which dissociates completely in water

HCl + H2O ----> H+ + Cl-

The dissociation constant Ka = [H+] [Cl-]
                                                      [HA]
The concentration of water is not consider, because of large quantity was used.
Similarly, ammonia is a base

The dissociation constant or strength of acid or base K is usually expressed in log. pKa is the negative log of the equilibrium constant
          pKa = - log Ka            the negative log of the equilibrium constant for acids
          pKb = - log Kb            the negative log of the equilibrium constant for bases
          pKw =  - log Kw         the negative log of the equilibrium constant for water

·  Strong acids have a large Ka, indicating that there are more products than reactants, larger Ka, stronger acid, larger pKa, weaker acid,
· larger Kb, stronger base, larger pKb, weaker base
 Examples,
          
pKa value for weak acids
         
The pH scale
We use the pH scale to describe how many hydrogen ions are dissolved in a solution.  The pH comes from the negative log of the hydrogen ion concentration. 
          pH = - log [H+]
The term, p, means we have taken the negative log of something. 
Similarly
          pOH = - log [OH-]      the negative log of the hydroxide ion concentration
Let us consider the ionization of water
          H2O  ----------Ă  H+  + OH-
            K =    [H+][OH-]      
                        [H2O]
But the concentration of water is constant, because, in large quantity, only one molecule is dissociated.
K [H2O] = [H+][OH-]
Kw  = [H+][OH-]  where Kw is ionic product of water and its value is 1 x 10-14

Take the log of both sides.  Remember when you have stuff multiplied together, when you take the log, you add them.
            so log Kw = log [H+] + log [OH-]
            Now multiply by -1 through the entire equation to get:
             -log Kw = -log [H+] - log [OH-]    or  pKw = pH +   pOH
            -log 10-14  = -log [H+] - log [OH-]
            14 = pH   + pOH
So for water pH = 7, ie neutral pH.
The pH scale is from 0 to 14. The pH value is less than 7 for acid and more than 7 for base. How strong an acid is labeled as pH.  The lower the pH, the stronger the acid.

Buffers
A buffer solution is any solution that maintains an approximately constant pH in small additions of acid and base. The buffer solution consists of mixture of weak acids or bases with its salts.
Types of buffer solutions
1) Acidic buffer: It consists of a weak acid and its conjugate base or salt. It buffers on the acidic side of neutral.
Example, Acetic acid and sodium acetate

2) Basic buffer: consists of a weak base and its conjugate acid or salt. It buffers on the basic side of neutral.
Example, Ammonium hydroxide and Ammonium chloride

Properties of buffer solutions
Ø  The pH of buffer solution remains constant.
Ø  The pH of buffer solution does not change on dilution
Ø  The pH does not change after addition of small quantity of acid or base
Ø  The pH of buffer solution does not change on keeping for long time.
Buffer actions
The resistance to change in pH possessed by buffer is called buffer action
Acid buffer action:
Let us consider Acidic buffer which is prepared by mixing acetic acid and sodium acetate in water.
Acetic acid is a weak acid and ionized to acetate ion and hydrogen ion to some extent only.
 



Sodium acetate is a strong electrolyte, so fully dissociated to acetate ion and sodium ion
 



Therefore the buffer mixture contains less amount of hydrogen ion and more amount of acetate ion.
If a little amount of strong acid is added to the buffer mixture the hydrogen ion from strong acid, will be attracted by acetate ion, and feebly ignitable acetic acid is formed, the acidity does not change much.
 




If a little amount of strong alkali is added to the buffer mixture, the hydroxide ion from alkali is neutralized by hydrogen ion of acetic acid. Therefore the alkalinity does not change much.



It is possible to calculate the pH of acidic buffer by Henderson-Hasselbalch equation
Let us consider the dissociation on an acid

            HA                  H+    +   A-
            Ka =    [H+] [A-]
                           [HA]

when expressed in logarithmic form we get:
             log Ka            =          log [H+]      +  log [A-]
                                                                   [HA]
multiplying both sides by -1:

             -log Ka =        -log [H+]      - log [A-]
                                                                   [HA]
 Consider pKa = - log Ka. pH = -log [H+]

            pKa = pH -   log [A-]
                                       [HA]
multiplying by -1 through the entire equation to get rid of the - signs we get:
            -pKa = -pH + log [A-]
                                       [HA]
Rearranging the above equation

            pH = pKa +  log [A-]                
                                      [HA] 
            pH = pKa +  log [Conjugate base]                  
                                                [Acid]     
Or

Base buffer action:
Similarly Let us consider basic buffer which is prepared by mixing ammonia and ammonium chloride in water.

Base Buffer Example:
NH3 (aq) + H2O (l)     ------Ă  NH4+ (aq) + OH-(aq)

When strong acid is added, NH3 accepts protons from incoming acid to make NH4+. When strong base is added, NH4+ donates a proton to form NH3 and H2O. pH remains the same.
It is possible to calculate the pH of acidic buffer by Henderson-Hasselbalch equation
Let us consider the dissociation on an acid

            BOH   --------->      B+    +  OH-
            Kb =    [B+] [OH-]
                           [BOH]
            [OH-] = kb [BOH]
                                [B+]

when expressed in logarithmic form we get:
             log [OH-] =    log Kb      +    log [BOH]
                                                                   [B+]
multiplying both sides by -1:

             -log [OH-] =   -log Kb     +   log   [B+]
                                                                   [BOH]

            pOH = pKb +  log [B+]
                                         [BOH]
Hence pH + pOH  = 14
So pH = 14 – pOH
     pH = 14 – ( pKb -   log [B+]
                                        [BOH]

            pH =14- ( pKb +  log [Conjugate acid]                       
                                                [Base]     

Buffer capacity(b)
It is the effectiveness of buffer in quantity basis. It is defined as the amount of strong acid or strong base that must be added to the buffer to produce unit change of pH.
Hence b =d[B] / dpH.
Since, the addition of base increase the pH and addition of acid decrease the pH. The value of b depends on the nature of buffer and the pH, which is determined by the relative concentrations of the acid and its conjugate base. The buffer functions are best around pKa value.
 pH = pKa, when [HA] = [A-] and there are equal amount of acid and its conjugate base.

For Example
In a buffer, the more A- and HA molecules available, after the addition of a strong acid or base will have on the pH of a system. Consider the addition of a strong acid such as HCl. Initially, the HCl donates its proton to the weak base (A-) through the reaction
            A- + HCl → HA + Cl-
This changes the pH by lowering the ratio [A-]/[HA], but as long as there is still a lot of A- present, the change in pH will be small. But if we keep adding HCl, the weak base A- will eventually run out. Once the A- is gone, any additional HCl will donate its proton to water             HCl + H2O → H3O+ + Cl-
This will dramatically increase the concentration [H+] and so the pH drops.
Example

In Vivo biologic buffer systems

•Blood
Primary buffers – Plasma
NaHCO3--H2CO3, NaHPO4--NaH2PO4, protein
Secondary buffers :Erythrocytes;
hemoglobin-oxyhemoglobin, 2HPO4-KH2PO4
•Lacriminalfluid
-pH: 7.4 (range 7 –8 or slightly higher)
•Urine
            pH: 6.0 (range 4.5 –7.8)
-below normal…hydrogen ions are excreted by the kidney.
-above pH 7.4…hydrogen ions are retained by action of the kidney.

Buffers in Pharmaceutical systems
In pharmaceutical formulations, lot of buffers are used because
v Some compounds are soluble in particular pH, For ex, inorganic salts of Ferric ion, phosphates, borates are soluble in acidic media.
v The pH of blood is maintained around 7.4 by carbonic acid and sodium carbonate buffer system and hemoglobin buffer system.
v It is used in the assay of enzyme activity because the enzyme activity is maximum at a particular pH.
v Used in the estimation of metallic salts by complexometric titration with EDTA, as the metal complex is more stable at a particular pH.
v Certain pharmaceutical preparations are stabilized by suitable buffers.
Eg. Neutral adrenaline eye drops stabilized by borate buffer
v Penicillin preparations are buffered with sodium citrate, calcium carbonate and aluminum hydroxide
v The colour of the natural dyes are maintained only on particular pH, For ex, Red colour of cherry and rasbery syrups has been maintained at acidic pH.
v Some liquid preparations was stable only on particular pH range, For ex, Ascarbic acid and penicillin are stable in acidic pH. Adrenaline injection is most stable in pH 2.5 – 5.
v Optimum pH conditions for activity of medicinal compounds are maintained. For ex, the germicidal activity of sodium hypochlorite is increased at lowering pH.
v Buffers of known pH are used as a standard in analytical lab.

Official buffers
The buffer solution recommended by pharmacopoeia are called official buffers.
Examples,
1.     Hydrochloric acid buffer – 0.2M KCl and 0.2M HCl (pH = 5.8 to 8.0)
2.     Phthalate buffer - 0.2M Pot. Hydrogen phthalate and 0.2M NaOH (pH = 4.2 to 5.8)
3.     Phosphate buffer - 0.2M pot. dihydrogen phosphate and 0.2M NaOH (pH = 5.8 to 8.0)
4.     Alkaline borate buffer- 0.2M Boric acid, 0.2M  KCl and 0.2M NaOH (pH = 8 to 10)
5.     Acetate buffer - Ammonium acetate or Sodium acetate and acetic acid (pH = 2.8 to 5.0)

Isotonic solution
v It is a solution which has colligative properties similar to those of body fluids. Isotonic is biological compatibility.
v An isotonic solution refers to two solutions having the same osmotic pressure across a semi permeable membrane. This state allows for the free movement of water across the membrane without changing the concentration of solutes on either side.
v They have equal concentrations of solutes and water.
v Example- Sodium chloride solution 0.9% w/v which has a Freezing point depression       (tf)= - 0.52

Hypertonic solution
v In biology, a hypertonic solution is one with a higher concentration of solutes outside the cell than inside the cell.
v When a cell is immersed into a hypertonic solution, the tendency is for water to flow out of the cell in order to balance the concentration of the solutes.
v It has a Freezing point depression  -0.52 <  tf  < 0
v It produce swelling and bursting of the cells (ex. Hemolysis)
Hypotonic solution
v A hypotonic solution is any solution that has a lower osmotic pressure than another solution.
v In the biological fields, this generally refers to a solution that has less solute and more water than another solution
v It has a Freezing point depression  tf<-0.52
v It produce Shrinkage of the living cells

  




Some Isotonic Buffer Solutions



Preparation of Isotonic Solutions
Isotonic solution is prepared by the drug solution which have equal concentration of 0.9%w/v of sodium chloride.

Freezing Point Depression Method
Amount of NaCl needed in 100mL of solution = [0.9 x (0.52-tf’)] / 0.52

Ex. 100ml of a drug solution , How much NaCl=? Fp=-0.18o C
Amount of NaCl needed = [0.9 x (0.52- 0.18)]/0.52=0.59g

Sodium Chloride Equivalent Method

This method is based on the calculation of Sodium Chloride Equivalent Values (E) and prepare the isotonic solution equivalent to 0.9% w/v concentration.
 E value can be calculated by the formula E = 17 (Liso / MW)

For Ex , 1g drug =   ? g sodium chloride
Ex.  E value? MW=340g/mole Liso =3.4
E value=17(3.4/340)=0.17g

Measurement of tonicity

v Hemolytic method - Red blood cells are applied in the tonic solution. It liberates oxyhemoglobinin direct proportion to the number of cells hemolyzed.
v Determine colligative properties like Freezing point lowering Tf, Osmotic pressure etc. Based on the values when compare with the value of isotonic solution, we can determine the tonicity.
For Isotonic solution Tf= 0.52 ÂșC (Freezing point lowering)

Calculating Tonicity Using Liso values•
Tonicity can be calculated by the Van’tHoff expression


Method of adjusting tonicity and pH
Class I…add Sod. Chloride to lower the freezing point of soln. to -0.52°
1.     Cryoscopic method
2.     Sodium chloride equivalent method
Class II…add Water to form an isotonic soln.
1.     White-Vincent method
2.     Sprowlsmethod

Cryoscopic method
Amount of NaCl needed in 100mL of solution = [0.9 x (0.52-tf’)] / 0.52

Sodium Chloride Equivalent Method
This method is based on the calculation of Sodium Chloride Equivalent Values (E) and prepare the isotonic solution equivalent to 0.9% w/v concentration.
 E value can be calculated by the formula E = 17 (Liso / MW)

White-Vincent Method
It is based on the following formula
Wi= weight in grams of the ith solute in the formulation
Ei= sodium chloride equivalent of the ith solute in the formula
v = volume of sodium chloride solution (0.9%) that contains 1g of NaCl (this volume is 111.1 mL)
Example
Sprowls’ Method
The Sprowls’ value is the volume of an isotonic solution that can be prepared by the addition of enough water to 0.3 g drug
“0.3g”represents the amount of drug in a fluid ounce of 1% solution(1 fluid ounce≒0.0294L)



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