Question

A formic acid buffer containing 0.50 M HCOOH and 0.50 M HCOONa has a pH of...

A formic acid buffer containing 0.50 M HCOOH and 0.50 M HCOONa has a pH of 3.77.

What will the pH be after 0.010 mol of NaOH has been added to 100.0 mL of the buffer? (Assume the addition cause negligible volume change.)

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Answer #1
Concepts and reason

The concept used here is based on the dissociation constant (к)
of an acid is used for the determination of the strength of an acid. Higher the value of dissociation constant, higher will be acid strength and vice versa.

The Henderson-Hasselbalch equation is used for the determination of the pH
corresponding to the buffer solution. A buffer solution is basically composed of an acid and its corresponding conjugate base or vice versa.

Fundamentals

The molarity of a solution is given as shown below.

п
м
…… (1)

Here,п
is a number of moles of solute, is the volume of solution in liters.

The Henderson-Hasselbalch equation is given as shown below.

salt]
pH= pK,+10 acid]
…… (2)

Here, pк,
is the negative logarithm of the dissociation constant, [salt]
is the concentration of salt and acid]
is the concentration of acid.

To calculate the moles of НСООН
, substitute the value of М
as 0.50 M
, as I L
in the equation (1)

п
0.50 M
1L
n31 Kx0.50 molи (м-mol L}
п3 0.50 mol

To calculate the moles of HCOONa
, substitute the value of М
as 0.50 M
, as I L
in the equation (1)

п
0.50 M
1L
n31 Kx0.50 molи (м-mol L}
п3 0.50 mol

The Henderson-Hasselbalch equation for the solution can be written as shown below using equation (2).

pH - pк, + log HСOONa]
PH - рк, + 1og (HСООН]
[НСООН]

Now, substitute the value of pH
as 3.77
, [НCООН]
as and as in the above equation

3.77 = pk, +lop0.05-M
log
L0.0s-M
pK 3.77-log()
{log 1 0
pK 3.77

The chemical equation after the addition of sodium hydroxide can be written as shown below.

To calculate the concentration of HCOONa
substitute п
as 0.06 mol
and as 0.1 L
in the equation (1).

0.06 mol
м
0.1 L
M 0.6 mol L
M -0.6 М
{1 M
1 mol L1}

To calculate the concentration of НСООН
substitute п
as 0.04 mol
and as 0.1 L
in the equation (1).

The Henderson-Hasselbalch equation for the solution can be written as shown below using equation (2).

Now, substitute the value of pк,
as , as 0.4 M
and as in the above equation.

0.6 M
pH 3.7708 0.4 M
pH 3.77+log (1.5
pH 3.77 0.176
pH 3.95

The of the solution after the addition of 100 mL
sodium hydroxide is .

Ans:

The pH
of the solution after the addition of 100 mL
sodium hydroxide is .

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