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AS/A-Level Chemistry- Acid/base Equilibria & calculations

Acid/base Equilibria & calculations

July 8, 2021

You should know what acid and base in A-Level Chemistry, let's review their definitions:

Arrhenius definition – when acids/bases dissolve in water then completely/partially dissociate into charged particles (ions) 

Brønsted–Lowry definition – an acid is a proton donor and a base is a proton acceptor; acids (proton donors) will never release a H+on its own, it is always combined with H2O to form Hydroxium ions– H3O+ 

Strong & weak acid/base

strong acid/base

 examples: HCl, H2SO4, NaOH, KOH

HCl(g) —> H+(aq) + Cl-(aq) 

NaOH(s) + H2O(l) —> Na+(aq)+ OH-(aq)

Strong acids and bases ionise almost completely in water. 

*HCl has a pH of 0 = completely ionised

weak acid/base

examples: CH3COOH, HCN, NH3

CH3COOH(aq) <-->CH3COO-(aq)+ H+(aq)

NH3(aq)+ H2O(l) <--> NH4+(aq)+ OH-(aq)

Weak acids and bases only slightly ionise

Equilibrium is set up with mostly reactants (to the left)

WATER is special – it can behave as a base and an acid

You can work out the equilibrium constant in the same manner as 

i.e.   Kc= [H+] [OH-] / [H2O]

However, the equilibrium is very far left and so the equilibrium constant for this reaction is said to have a constant value;   

At 298K/1atm, the Kc of water is 1.0 x 10-14 mol2 dm-6 

pH value

pH– “power of hydrogen” - is a measure of the hydrogen ion concentration 

pH= - log [H+]

 

CALCULATION- finding the pH of a strong acid 

1) Calculate the pH of 0.05 mol dm-3 of nitric acid. 

pH = - log[H+]  

pH = - log[0.05]  =1.3 (strong and very acidic)

2) An acid has a pH of 2.45, what is the hydrogenion concentration? 

pH = - log[H+

[H+] = 10-pH 

=3.55 x 10-3 mol dm-3 

 

*NOTE: H2SO4 dissociates to give 2[H+] and you will have to divide the final answer by 2 to find your hydrogen ion concentration 

CALCULATION: finding the pH of a weak acid 

Weak acids do not fully dissociate so it isn’t as straightforward as above. Another constant called Ka is introduced. There are some assumptions to make first:  

a) Only a tiny amount of product dissociates so initial concentration of reactant = equilibrium concentration of reactant  

b) All H+ ions come from the acid i.e. concentration of product 1 = concentration of product 2 

1) Calculate the hydrogen ion concentration and the pH of a 0.02 mol dm-3 solution of propanoic acid (CH3CH2COOH). The Ka of propanoic acid is1.3 x 10-5 moldm-3

Ka = [H+]2/[CH3CH2COOH] 

[H+] = 5.09 x 10-4 

pH = -log[5.09 x 10-4

pH = 3.29 

CALCULATION: finding the pH of a strong base 

One OH- ion fully dissociates per mole of base so the concentration of OH- ions and concentration of the base is the same. However to work out pH from the formula, we need [H+]. Therefore, we use our knowledge of (@ 298K), Kw= 1.0 x 10-14 mol2dm-6 

1) Find the pH of 0.1 moldm-3 of NaOH at298K. 

[H+] = Kw / [OH-]

 = 1.0 x 10-14 / 0.1

 = 1.0 x 10-13 mol dm-3 

Therefore,  

pH = -log [1.0x 10-13

= 13.0 (ph value is large – expectedfor a strong alkali) 

CALCULATION: finding the pKa 

pKa= - log [Ka]

1) Calculate the pH of 0.05 mol dm-3 ofmethanoic acid (HCOOH). Methanoic acid has a pKa of 3.75. 

3.75 = -log[Ka

Ka= 1.78 x 10-4

1.78 x10-4 = [H+]2/[0.05] 

[H+] = 2.98 x 10-3

pH = -log[2.98 x10-3

pH = 2.53

 

Lastly, you should be aware that; 

· diluting a strong acid (e.g. HCl) by a factor of 10 increases the pH by 1 

· diluting a weak acid (e.g. CH3COOH) by a factor of 10 increases the pH by 0.5 

Drafted by Eunice Wong (Chemistry)