Skip to main content
Ch. 2 - Acids and Bases: Central to Understanding Organic Chemistry
Bruice - Organic Chemistry 8th Edition
Bruice8th EditionOrganic ChemistryISBN: 9780135213711Non è quello che usi tu?Cambia libro di testo
Capitolo 2, Problema 40

As long as the pH is not less than ___________, at least 50% of a protonated amine with a pKa value of 10.4 will be in its neutral, nonprotonated form.

Guida verificata passo dopo passo
1
Understand the relationship between pH, pKa, and the protonation state of an amine. The Henderson-Hasselbalch equation is key here: pH = pKa + log([A^-][HA]), where [A^-] is the concentration of the deprotonated (neutral) form and [HA] is the concentration of the protonated form.
Recognize that the problem asks for the pH at which at least 50% of the amine is in its neutral, nonprotonated form. This means the ratio of [A^-] to [HA] is 1:1.
Substitute the ratio [A^-]/[HA] = 1 into the Henderson-Hasselbalch equation. The logarithm of 1 is 0, so the equation simplifies to pH = pKa.
Identify the pKa value given in the problem, which is 10.4. This means that when the pH equals 10.4, 50% of the amine will be in its neutral form.
Conclude that the pH must not be less than 10.4 for at least 50% of the protonated amine to be in its neutral, nonprotonated form.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
3m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

pKa and pH Relationship

The pKa of a compound is the pH at which half of the species are protonated and half are deprotonated. For a weak acid or base, if the pH is below the pKa, the protonated form predominates; if above, the deprotonated form is favored. Understanding this relationship is crucial for predicting the ionization state of amines in solution.
Video consigliato:
07:45
Identifying pKa values

Protonated vs. Nonprotonated Forms

A protonated amine carries a positive charge due to the addition of a proton (H+), while its nonprotonated form is neutral. The balance between these forms is influenced by the pH of the solution relative to the pKa of the amine. Recognizing this distinction helps in determining the predominant form of the amine at a given pH.
Video consigliato:
06:23
Monosaccharides - Forming Cyclic Hemiacetals

Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation relates pH, pKa, and the ratio of protonated to nonprotonated species in a solution. It is expressed as pH = pKa + log([A-]/[HA]). This equation is essential for calculating the pH at which a specific percentage of an amine is in its neutral form, aiding in the answer to the question posed.
Video consigliato:
05:02
Breaking down the different terms of the Gibbs Free Energy equation.