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Preparation of different buffer solutions 1

- Buffers: - All biochemical reactions occur under strict conditions of the concentration of hydrogen ion. - Biological life cannot withstand large changes in hydrogen ion concentrations which we measure as the ph. - Those solutions that have the ability to resist changes in ph upon the addition of limited amounts of acid or base are called Buffers. 2

Two types of buffers A buffer is made up of a weak acid and its conjugate base. Or A weak base and its conjugate acid. Acidic buffer Are made from weak acid and its conjugated base[ its salt]. Example: 1. CH 3 COOH / CH 3 COONa (Pka) - CH3COOH (Weak acid) - CH3COONa (conjugated base its salt-) 2. NaH 2 PO 4 / Na 2 HPO 4 (Pka) Basic buffer Are made from weak base and its conjugated acid [ its salt]. Example: 1. NH 3 / NH 4 Cl (Pkb) - NH 3 (Weak base) - NH 4 Cl (conjugated acid its salt-) 3

- Mechanism of action: - How buffers can resist the change in PH? -Example using [HA/A - ] buffer: - Where: HA is a Weak acid and A- is conjugated base [its salt]. HA H + + A - If H + (acid) is added to this buffer system H + will react with conjugated base to give conjugated acid. H + A - HA If OH - (base) is added to this buffer system OH - will react with conjugated acid to give conjugate base and H 2 O. OH- HA A - + H2O 4

Mechanism of action OH H + HA H + + A - HA A - 5

- Mechanism of action cont : - Example: Conjugated base CH 3 COO - Weak acid CH 3 COOH - Buffer system: CH 3 COOH / CH 3 COO - When acid [H + ] added: CH 3 COO - + H + CH 3 COOH When base [OH - ] added: CH 3 COOH + OH - CH 3 COO - + H 2 O - NOTE: It resists ph changes when it s two components are present in specific proportions. - Thus a buffer can protect against ph changes from added H+ or OH- ion as long as there is sufficient basic and acidic forms respectively.

The Henderson-Hasselbalch equation - It is often used to: 1. Calculate the ph of the Buffer. 2. Preparation of Buffer. - It relates the Ka [dissociation constant] of a weak acid, [HA] concentration of weak acid component, [A-] concentration of conjugate base [salt of the weak acid] component and the ph of the buffer. 7

- This equation is derived from acid dissociation constant: Ka= H+ [A ] [HA] - A buffer is best used close to its pka to act as a good buffer the ph of the solution must be within one ph unit of the pka]. 8

- Buffer capacity: - Quantitative measure of resistance to ph changes is called buffer capacity. - Buffer capacity can be defined in many ways, it can be defined as: - The number of moles of H + /OH - ions that must be added to one liter of the buffer in order to decrease /increase the ph by one unit respectively. - Buffer capacity is expressed as β and can be derived from Henderson Hasselbalch equation: From the equation: the buffer capacity is directly proportional to the buffer concentration. Where: β = the buffer capacity, [H+] = the hydrogen ion concentration of the buffer, [C] = concentration of the buffer and Ka= acid dissociation constant 9

Calculating the PH For weak acid [not buffers] For weak base [not buffers] For buffers ph = pka + p[ha] 2 poh = pkb + p[oh] 2 * P[HA] = -log [HA] * P[OH] = -log [OH] ph + poh = pkw [Pkw : number of dissociation constant of H 2 O]. 10

Practical part 11

- Objectives: To understand the behaviour and nature of buffers solutions. To learn how to prepare buffers. 12

A) Natural of buffer: 1. You are provided with: 0.2M solution of CH 3 COOH, 0.2M solution of CH 3 COONa. Determine which is the weak acid and which is the conjugated base [or its salt]. 2. Calculate the volume that you must take from CH 3 COOH and mixtures with final volume of the solution =20 ml : 1. 100% [HA] 2. 75% [HA], 25% [A - ] 3. 50% [HA], 4. 25% [HA], 50% [A - ] 75% [A - ] CH 3 COONa to prepare the following 3. Calculate the ph for each solution [pka of CH 3 COOH = 4.76]. 4. Follow the table. 13

- Calculations: 1. To Calculate the volume that you must take from CH3COOH and CH3COONa to prepare the previous mixtures with final volume of the solution =20 ml: (A) 100% [HA]: The final volume is 20ml, So: 20 x 100% = (20 x 100)/100 = 20 ml Take 20ml of HA and measure the ph. Note: HA : as CH 3 COOH A- : as CH 3 COONa (B) 75% [HA], 25% [A - ]: From HA= 20 x 75% = (75 x 20) /100 = 15 ml FromA - = 20 x 25% = (25 x 20)/ 100 = 5 ml - Mix 15 ml HA and 5 ml A- and misure the ph, note the total volume is 20 ml. - [15ml + 5ml] = 20 ml The same way for other mixtures 14

- Calculation cont : 2. To Calculate the ph for the previous mixtures with pka of CH 3 COOH = 4.76 : (A) 100% [HA]: ph = (pka + p[ha]) p[ha]= -log 0.2 = 0.69 ph = ( 4.76 + 0.69) = 2. 72 2 2 (B) 75% [HA], 25% [A - ] : ph = pka + log [A - ] / [HA] ph= 4.76 + log [A - ]/[HA] [HA] = C 1 X V 1 = C 2 X V 2 =0.2 X 15 = C 2 X 20 = C2 = 0.15M So, PH = 4.76+log 0.05/0.15 ph = 4.282 [A - ] = C 1 X V 1 = C 2 X V 2 = 0.2 X 5 = C 2 X 20 = C2 = 0.05 M 15

- Calculation cont : (C) 50%[HA], 50%[A] : ph = Pka + log [A - ] / [HA] ph= 4.76 + log [A - ]/[HA] [HA] = C 1 X V 1 = C 2 X V 2 =0.2 X 10 = C2 X 20 = C2 = 0.1M [A-] = C 1 X V 1 = C 2 X V 2 = 0.2 X 10 = C 2 X 20 = C2 = 0.1 M So, ph = 4.76+log 0.1/0.1 ph = 4.76 +0 = 4.76 [ PH= pka] (D) 25% [HA], 75% [A-] : ph = pka + log [A-] / [HA] ph= 4.76 + log [A-]/[HA] [HA] = C 1 X V 1 = C 2 X V 2 =0.2 X 5 = C 2 X 20 = C2 = 0.05M So, ph = 4.76+log 0.15/0.05 ph = 5.24 [A - ] = C 1 X V 1 = C 2 X V 2 = 0.2 X 15 = C 2 X 20 = C2 = 0.15 M 16

- Method: Solutions HA A - Final volume Calculated Measured 2M HCl Measured The difference CH 3 COOH CH 3 COONa (ml) ph (ml) ph ph (ml) (ml) 100%[HA] 20 ml 0 20 ml 2.729 0.1 20 ml 75%[HA],25%[A - ] 15 ml 5 ml 20 ml 4.28 0.1 50%[HA],50%[A - ] 10 ml 10 ml 20 ml 4.76 0.1 25%[HA],75%[A - ] 5 ml 15 ml 20 ml 5.24 0.1 17

- Preparation of buffers: - You are provided with 0.2M acetic acid and solid sodium acetate. Prepare 50ml of a 0.19M acetate buffer ph =4.86 if you know that(pka=4.7). - Calculation: o o o Solid sodium acetate [as A-]. 0.2M Acetic acid [as HA]. Pka = 4.76 Provided o o o o Final volume of buffer =50ml ph=4.86 Buffer concentration = 0.19 M Buffer Concentration = [HA] + [A - ] 0.19 = [HA] + [A - ] Required 18

- Calculation cont : To prepare a buffer Henderson-Hasselbalch equation is used: ph = pka +log [A-] \[HA] First calculate the concentration of the acid and conjugated base that make up the buffer with 0.19M: Assume [A - ] = y and [HA] = 0.19 y So: y 4.86 = 4.76 +log 0.19-y y y 0.1 = log by taking the Anti log for both sides 1.26 = 0.19-y 0.19-y y =1.26 x (0.19-y) y= 0.24 1.26 y y + 1.26 y = 0.24 2.26 y = 0.24 y= 0.11 M [which is the concentration of [A - ] in the buffer ] So, [HA] = 0.19 0.11 = 0.08 M [which is the concentration of [HA] in the buffer ] 0.11+ 0.08 = 0.19M 19

- Calculation cont : To calculate the volume needed from [HA] to prepare the buffer, No. of mole of [HA] should be calculated first: No. of mole = Molarity x Volume of solution in L = 0.08 X 0.05 = 0.004mole So, M of stock = no. of mole / Volume in Liter 0.2 = 0.004 / V V = 0.02 L = 20 ml To calculate the weight needed from [A-] to prepare the buffer, No. of mole of [A- ] should be calculated first: No. of mole = Molarity x volume of solution in L = 0.11 X 0.05 = 0.0055 mole weight in (g) of [A-] = No. of moles x MW =0.0055 x 82 = 0.451 g 20

- Method: Now take 20 ml from 0.2M acetic acid and 0.451 g from solid sodium acetate and and then complete the volume up to 50 ml by addition of water. 21

- Testing for buffering behavior: In one beaker add 10ml of 0.19M acetate buffer that you have prepared, and add 10ml of 0.2M KCl. Measure the ph. Add 0.1ml from 2M HCl to for both solutions. Measure the ph after the addition. in another beaker Solution Measured ph Add 2M HCl Measured ph 0.19M acetate buffer 0.1 ml o.2m KCl 0.1 ml 22