[tex] [\text{A}^{-}] / [\text{HA}] \approx 0.525 [/tex]
Explanation:
The Henderson-Hasselbalch equation estimates the value of [tex] [\text{A}^{-}] / [\text{HA}] [/tex] of a buffer given its [tex] pH [/tex] and the acid dissociation constant of weak acid [tex] \text{HA} [/tex]:
[tex] pH \approx pK_{a} + \text{log}_{10} ([\text{A}^{-}] / [\text{HA}]) [/tex]
Rearranging:
[tex] [\text{A}^{-}] / [\text{HA}] \approx 10^{-pH} / 10^{-pK_a} [/tex]
The question states that
Thus
[tex] [\text{A}^{-}] / [\text{HA}] \approx 10^{-5.00} / 10^{-4.72} = 0.525 [/tex]
Reference:
Gurinder Khaira and Alexander Kot (UCD), "Henderson-Hasselbalch Approximation," Chemistry Libretext