Passage 2: Acid-Base Regulation
Understanding acid-base regulation is often reduced to pigeonholing clinical
states into categories of disorders based on arterial blood sampling. An earlier
ambition to quantitatively explain disorders by measuring the production and
elimination of acid has not become standard clinical practice. Seeking back to
classical physical chemistry, we propose that in any compartment, the requirement
of electroneutrality leads to a strong relationship between charged moieties.
Figure 1 shows the relationship between [H+] of a mixture and the mean [H+] of two
mixtures. Figure 2 shows the equations related to the water dissociation constant.
Strong Relationships in Acid-Base Chemistry – Modeling Protons Based on
Predictable Concentrations of Strong Ions, Total Weak Acid Concentrations, and
pCO2. Adapted from Ring & Kellum (2016).
If the pH is 2.3, what is the concentration of hydroxide in the solution?
A) 10 11.7 M
B) 10 -2.3 M
C) 10 -11.7 M
D) 10 2.3 M
Correct answer: C. First, it is important to understand the question
stem, which asks for the [OH] in the solution, which is the concentration of OH-.
Since pH + pOH = 14 and pH is 2.3, this means that pOH = 14 - pH = 14 - 2.3. Thus,
pOH is 11.7. Since pOH = -log[OH], we must reverse this equation, first algebraically
manipulating this equation to [OH] = 10 - pOH; [OH] = 10 -11.7. Therefore, answer
choice C is correct. Answer choice A only makes sense if the negative sign has been
ignored or forgotten. Since the given value was 2.3, it might have been tempting to
find the concentration of H with that number and derive either answers B or D, but
these don’t give the concentrations of OH.