Concept explainers
Lactic acid, CH3CH(OH)COOH, is a weak monoprotic acid with a melting point of 53 °C. It exists as two enantiomers (Sec. 7-2f) that have slightly different Ka values. The D form has a Ka of 1.5 × 10−4 and the L form has a Ka of 1.6 × 10−4. The D form is synthesized by some bacteria. The L form is produced in muscle cells during anaerobic
- (a) Which form of lactic acid (D or L) is the stronger acid? Explain your answer.
- (b) Determine the pKa that would be measured for a 50:50 mixture of the two forms of lactic acid in aqueous solution, pKa = −log Ka
- (c) A solution of D-lactic acid is prepared. Use HL as a general formula for lactic acid, and write the equation for the ionization of lactic acid in water.
- (d) If 0.100-M solutions of these two acids (D and L) were prepared, calculate what the pH of each solution would be.
- (e) Before any lactic acid dissolves in the water, what reaction determines the pH?
- (f) Calculate the pH of a solution made by dissolving 4.46 g D-lactic acid in 500. mL of water.
- (g) Calculate the volume (mL) of 1.15-M NaOH(aq) required to completely neutralize 4.46 g of pure lactic acid.
- (h) Calculate the pH of the solution when exactly enough NaOH was added to neutralize all of the lactic acid for (i) the D form; (ii) the L form; and (iii) a 50:50 mixture of the two forms.
(a)
Interpretation:
The stronger acid has to be chosen between D- form of lactic acid and L- form of lactic acid.
Explanation of Solution
The acid having larger
The
(b)
Interpretation:
The value of
Answer to Problem ISP
The value of
Explanation of Solution
As the solution contains a mixture of two acids, the observed value of the
When the reactions are added,
It can be further written as given below.
On simplification,
Now,
Therefore, the value of
(c)
Interpretation:
The equation for the ionization of lactic acid in water has to be written.
Explanation of Solution
The equation for the ionization of lactic acid in water is given below. The ionization causes the transfer of the carboxyl hydrogen ion from lactic acid to water.
(d)
Interpretation:
The
Answer to Problem ISP
The
Explanation of Solution
The equilibrium reaction is given below.
The acid ionization constant can be written as given below.
A table can be set up as shown below.
The concentration of
At equilibrium,
Assuming x is very small, it can be written as
Then,
For L- form of the acid:
The
For D- form of the acid:
The
Therefore, the
(e)
Interpretation:
The reaction which determines the
Explanation of Solution
The
(f)
Interpretation:
The
Answer to Problem ISP
The
Explanation of Solution
Calculation of initial concentration of D- lactic acid:
The number of moles of D-HL can be calculated as given below.
Then, the concentration of D-HL is given below.
Therefore, the initial concentration of D- lactic acid is
The equilibrium reaction is given below.
The acid ionization constant can be written as given below.
A table can be set up as shown below.
The concentration of
At equilibrium,
Assuming x is very small, it can be written as
Then,
The
Therefore, the
(g)
Interpretation:
The volume of
Answer to Problem ISP
The volume of
Explanation of Solution
The neutralization reaction is given below.
The stoichiometry of acid and the base is
The number of moles of D-HL can be calculated as given below.
Hence, the number of moles of
Then, the volume of
Therefore, the volume of
(h)
Interpretation:
The
Explanation of Solution
The equilibrium reaction is given below.
The equilibrium constant for the above reaction can be written as given below.
There is relationship exist as given below.
Now,
For D form:
For L form:
For
Calculation of concentration of lactate ion:
The number of moles of HL can be calculated as given below.
Then,
Therefore, the concentration of lactate ion is
A table can be set up as shown below.
The concentration of
At equilibrium,
Assuming x is very small, it can be written as
Then,
(i) For D form:
The
Therefore, the
(ii) For L form:
The
Therefore, the
(iii) For
The
Therefore, the
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Chapter 14 Solutions
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