# Equilibria Involving Acids & Bases

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1 Week 9 Equilibria Involving Acids & Bases Acidic and basic solutions Self-ionisation of water Through reaction with itself: The concentration of water in aqueous solutions is virtually constant at about 56 M, thus: In acidic solutions, H 3 O + ions are formed by reaction with the acid with water as well as self-ionisation of water. The concentration of H 3 O + ions will be greater than 10-7 M at 25 o C. Since the product O + ] [OH - ] remains constant, the concentration of OH - ions in an acidic solution must be less than 10-7 M at 25 o C. The opposite is true for basic solutions. In summary, at 25 o C: in pure water and neutral solutions: O + ] = [OH - ] = 10-7 M in acidic solutions: O + ] > 10-7 M and and [OH - ] < 10-7 M K w is called the ionisation constant of water. in basic solutions: O + ] < 10-7 M and [OH - ] > 10-7 M In pure water at 25 o C, the concentration of both O + ] and [OH - ] is 10-7 M. Therefore, the value of K w at 25 o C can be calculated: K w = O + ] [OH - ] = 10-7 X 10-7 = 1.0 X M 2 ph: a convenient way to measure acidity ph = -log 10 O + ] or when re-arranged, O + ] = 10 -ph For pure water at 25 o C, O + ] = 10-7 M, so ph = -log = 7. For acidic solutions, O + ] > 10-7 M; so ph < 7 e.g M HCl at 25 o C has O + ] = M so ph = -log = 1.7. For basic solutions, O + ] < 10-7 M; so ph > 7 e.g M NaOH at 25 o C has [OH - ] = M Since O + ] [OH - ] = 1.0 X M 2 O + ] X 0.30 M = 1.0 X M 2 O + ] = (1.0 X M 2 )/0.30 M = 3.33 X M Therefore, ph = -log 10 (3.33 X ) =

2 How is ph affected by temperature? The ionisation constant for water is: We can use this relationship to calculate O + ] or [OH - ] at 25 o C But what about at other temperatures? The self-ionisation reaction for water is endothermic Therefore, as T o increases, the forward reaction will be favoured. O + ] and [OH - ] increase causing K w to rise and ph to decrease. If T o decreases, the position of the equilibrium favours the back reaction, O + ], [OH - ] and K w all decrease, causing ph to increase. Acidity Constants Most acid-base reactions in water can be considered as equilibrium reactions e.g. HCl ionises in water thus: The equilibrium constant can be expressed as: Since the concentration of the solvent water is virtually constant, we can write thus: The quantity K a is known as the acidity constant. The K a of HCl is 10 7 M at 25 o C This means that in HCl solutions, most of the acid is converted to H 3 O + and Cl - This is why HCl is classed as a strong acid. 2

3 By contrast, the K a of ethanoic acid is 1.75 X 10-5 M at 25 o C The K a can be used as a measure of an acid s strength. In ethanoic solutions, the position of the equilibrium favours the reactants and there is relatively small amount of products. Ethanoic acid is classed as a weak acid because at equilibrium only a small proportion of the acid has been ionised. 3

4 Buffers: Using equilibrium to resist change Buffers are solutions that can absorb the addition of acids or bases with little change of ph. They are most easily made by mixing a weak acid and a salt of its conjugate base e.g. ethanoic acid and sodium ethanoate: CH 3 COOH (aq) + H 2 O (l) CH 3 COO - (aq) + H 3 O + (aq) The important feature of this solution is that it contains significant amounts of both the weak acid and its conjugate base. If a strong acid such as HCl is added to the equilibrium mixture of ethanoic acid/ethanoate ion, the ph will decrease, but much less than expected. Le Chatelier s Principle is followed and the system will oppose the change and restore equilibrium. The addition of H 3 O + causes a net back reaction. The addition of a strong base consumes H 3 O +, causing a net forward reaction. In both cases the overall effect on O + ] is small so the change in ph is minimal. Buffers are very important in biological systems where they help maintain delicate chemical processes essential to life ph in the body Blood is maintained within a narrow ph band of Illnesses such as pneumonia and emphysema can lower this value to potentially lethal levels. Hyperventilation can raise ph. Buffers maintain ph within limits in the body. One of the important buffers is made up from carbonic acid and the hydrogen carbonate ion. H 2 CO 3 (aq) + H 2 O (l) HCO 3- (aq) + H 3 O + (aq) If H 3 O + ions are added, a net back reaction occurs, removing these ions. If OH - ions are added they react with H 3 O + ions and a net forward reaction occurs. 4

5 The Contact Process for Sulfuric Acid SO 2 (from various sources) SO 3 H 2 Step 1: Burning sulfur Molten sulfur is sprayed under pressure into a furnace where it burns in air to produce SO 2 gas. S (l) + O 2 SO 2 (g); H = -297 kj mol -1 Temperatures may reach 1000 o C. The gas is cooled for the next step. Step 2: Catalytic oxidation of sulfur dioxide Using vanadium (V) as a catalyst: 2SO 2 (g) + O 2 (g) 2SO 3 (g); H = -197 kj mol -1 Performed in a reaction vessel called a converter. Gas stream is passed through a series of trays containing loosely packed porous pellets of catalyst. The reaction is exothermic and cooling is necessary (reaction maintained at o C and 101 kpa. Nearly 100% conversion is achieved. 5

6 Le Chatelier s Principle complied with Equilibrium yield of SO 3 will increase: Since the reaction is exothermic, as T o decreases, the system will compensate for the reduction by favouring the forward reaction which releases energy. The system reacts to high pressure by favouring the forward direction because this will reduce pressure. Catalyst A conflict exists because a high equilibrium yield is favoured by low T o whereas as fast rate of production is favoured by high T o. Step 3: Absorption of SO 3 SO3 (g) + H 2 O (l) (aq) H 2 (aq); H = -130 kj mol -1 Direct absorption in water is not used because of the heat evolved. Instead, SO 3 is passed into concentrated H2SO4 in an absorption tower. A two step reaction occurs: SO 3 (g) + H 2 (l) H 2 S 2 O 7 (l) (this is oleum) H 2 S 2 O 7 (l) + H 2 O (l) 2H 2 (l) By using a catalyst it is possible to use lower T o and still achieve acceptable reaction rates. 6

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