BF 3 acts as Lewis acid. It is electron pair acceptor.
Ionic Equilibrium
For this example, CH 3 COOH ⇌ CH 3 COO – + H + ; CH 3 COONa ⇌ CH 3 COO – + Na + when few drops of HCl are added to this buffer, the H + of HCl immediatly combine with CH 3 COO – ions to form undissociated acetic acid molecules.
Thus there will be no H + ions to combine with CH 3 COO – ions to form undissociated acetic acid molecules.
Thus there will be no appreciable change in its pH value.
Like wise if few drops of NaOH are added, the OH – ions will combine with H + ions to form unionised water molecule.
Thus pH of solution will remain constant.
All of the given salts have same anion i.e., Cl which on hydrolysis gives HCl which is a strong acid.
Now, among the salts which have cation that gives a strongest base on hydrolysis of salt have the highest pH value.
As Ba form Ba(OH) 2 which is a stronger base thus, it results in the highest pH value.
<table class=tg> <tbody><tr> <th class=tg-0lax></th> <th class=tg-9wq8>Ba(OH)<sub>2</sub></th> <th class=tg-9wq8>⇌</th> <th class=tg-c3ow>Ba<sup>2+</sup></th> <th class=tg-c3ow>+</th> <th class=tg-c3ow>2OH</th> </tr> <tr> <td class=tg-0lax>At equilibrium</td> <td class=tg-9wq8></td> <td class=tg-9wq8></td> <td class=tg-c3ow>x</td> <td class=tg-c3ow></td> <td class=tg-c3ow>2x</td> </tr> </tbody></table> <br><br>pH = – log[H<sup>+</sup>] <br><br>12 = – log [H<sup>+</sup>] <br><br> [H<sup>+</sup>] = 10<sup>–12</sup> <br><br>As, [H<sup>+</sup>][OH<sup>–</sup> ] = 10<sup>–14</sup> <br><br>10<sup>–12</sup> [OH<sup>–</sup> ] = 10<sup>–14</sup> <br><br> [OH<sup>–</sup> ] = 10<sup>–2</sup> <br><br>As [OH<sup>–</sup> ] = 2x = 10<sup>–2</sup> then x = 5.0 × 10<sup>–3</sup> <br><br>Now, K<sub>sp</sub> = [Ba<sup>2+</sup>][OH<sup>–</sup> ]<sup>2</sup> <br><br>K<sub>sp</sub> = (5 × 10<sup>–3</sup>) (10<sup>–2</sup>)<sup>2</sup> = 5.0 × 10<sup>–7</sup>
K sp [AgCl] = [Ag + ][Cl - ] [Ag + ] =
= 1.8 10 9 M K sp [PbCl 2 ] = [Pb 2+ ][Cl - ] 2 [Pb 2+ ] =
= 1.7 10 3 M
The species which have a lone pair of electrons to donate or a negative charge on it can act as a Lewis base.
Here, N atom in NH 3 and O atom in H2O have lone pair of electrons available for donation.
In OH – the negative charge on it results in to behave it as a Lewis base.
But BF 3 is an electron deficient species thus, it is least likely to behave as Lewis base.
pOH = pK b + log
= – log K b + log
= – log 1.8× 10 –5 + log
= 5 – 0.25 + (–0.176) = 4.57 Now, pH = 14 – pOH = 14 – 4.57 = 9.43
CH 3 COOH and CH 3 COONa constitute to form an acidic buffer. pH = pKa + log
pH = –log(1.8 × 10 –5 ) + log
= 4.74 + log 2 = 4.74 + 0.3010 = 5.041 Now, pH = – log[H + ] 5.041 = – log[H + ] [H + ] = 10 –5.041 = 9.0 × 10 6 mol L –1
<table class=tg> <tbody><tr> <th class=tg-0lax></th> <th class=tg-9wq8>Ba(OH)<sub>2</sub></th> <th class=tg-9wq8>⇌</th> <th class=tg-c3ow>Ba<sup>2+</sup></th> <th class=tg-c3ow>+</th> <th class=tg-c3ow>2OH</th> </tr> <tr> <td class=tg-0lax>At equilibrium</td> <td class=tg-9wq8></td> <td class=tg-9wq8></td> <td class=tg-c3ow>x</td> <td class=tg-c3ow></td> <td class=tg-c3ow>2x</td> </tr> </tbody></table> <br><br>pH = – log[H<sup>+</sup>] <br><br>12 = – log [H<sup>+</sup>] <br><br> [H<sup>+</sup>] = 10<sup>–12</sup> <br><br>As, [H<sup>+</sup>][OH<sup>–</sup> ] = 10<sup>–14</sup> <br><br>10<sup>–12</sup> [OH<sup>–</sup> ] = 10<sup>–14</sup> <br><br> [OH<sup>–</sup> ] = 10<sup>–2</sup> <br><br>As [OH<sup>–</sup> ] = 2x = 10<sup>–2</sup> then x = 5.0 × 10<sup>–3</sup> <br><br>Now, K<sub>sp</sub> = [Ba<sup>2+</sup>][OH<sup>–</sup> ]<sup>2</sup> <br><br>K<sub>sp</sub> = (5 × 10<sup>–3</sup>) (10<sup>–2</sup>)<sup>2</sup> = 5.0 × 10<sup>–7</sup>
pOH = pK b + log
pOH = - log K b + log
pOH = –log10 –10 + log 1 [As conc. of HB and B – are same] pOH = 10 pH = 14 – pOH = 14 – 10 = 4