In: Chemistry
1. Suppose you prepare a buffer by dissolving 0.10 mole per liter of a weak acid, HA and 0.10 mole per liter of its sodium salt, A-. Assume that pKa = 3. (a) What is the pH of the buffer? How much does the buffer have to be diluted for the pH to increase by 1 unit? Neglect changes in activity coefficients.
A buffer is any type of substance that will resist pH change when H+ or OH- is added.
This is typically achieved with equilibrium equations. Both type of buffer will resist both type of additions.
When a weak acid and its conjugate base are added, they will form a buffer
The equations:
The Weak acid equilibrium:
HA(aq) <-> H+(aq) + A-(aq)
Weak acid = HA(aq)
Conjugate base = A-(aq)
Neutralization of H+ ions:
A-(aq) + H+(aq) <-> HA(aq); in this case, HA is formed, H+ is neutralized as well as A-, the conjugate
Neutralization of OH- ions:
HA(aq) + OH-(aq) <-> H2O(l) + A-(aq) ; in this case; A- is formed, OH- is neutralized as well as HA.
Now,
the buffer equation (Henderson HAsselbach equation)
pH = pKa + log(A-/HA)
initially
pH = 3 + log(0.1/0.1)
pH = 3
b)
find buffer dilution so pH decreases by 1 unit
if we neglect activity
there is no dilution which will change the pH
since
A-/HA ratio is KEPT
therefore, if we increase volume
mathematically, the volumes cancel each other
log(A-/HA)
log( 0.1 mol of A- / V / 0.1 mol of HA / V)
log( 0.1 mol of A- / 0.1 mol of HA )