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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 45c

At what pH is the concentration of a compound, with a pKa = 4.6, 10 times greater in its basic form than in its acidic form?

Guida verificata passo dopo passo
1
Step 1: Recall the Henderson-Hasselbalch equation, which relates pH, pKa, and the ratio of the concentrations of the basic form ([A⁻]) and acidic form ([HA]) of a compound: pH=pKa+log([A⁻[HA]).
Step 2: Identify the given values in the problem. The pKa of the compound is 4.6, and the ratio of the basic form ([A⁻]) to the acidic form ([HA]) is 10:1. This means [A⁻=10×[HA].
Step 3: Substitute the ratio into the Henderson-Hasselbalch equation. Replace log([A⁻[HA]) with log(10), since the ratio is 10:1.
Step 4: Recall that log(10) equals 1. Substitute this value into the equation: pH=pKa+1.
Step 5: Add the pKa value (4.6) to 1 to determine the pH at which the concentration of the basic form is 10 times greater than the acidic form. The final pH can be calculated using this equation.

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pKa and pH Relationship

The pKa value of a compound indicates the pH at which half of the compound is in its acidic form and half is in its basic form. A lower pKa means a stronger acid. The relationship between pKa and pH is crucial for understanding the ionization of weak acids and bases in solution.
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Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation relates pH, pKa, and the ratio of the concentrations of the basic and acidic forms of a compound. It is expressed as pH = pKa + log([A-]/[HA]), where [A-] is the concentration of the base and [HA] is the concentration of the acid. This equation is essential for calculating the pH at which specific ratios of acid and base exist.
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Concentration Ratios

Understanding concentration ratios is vital for solving the problem. If the concentration of the basic form is 10 times greater than that of the acidic form, this translates to a ratio of [A-]/[HA] = 10. This ratio can be plugged into the Henderson-Hasselbalch equation to find the corresponding pH.
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Pratica correlata
Domanda del libro di testo

At what pH is the concentration of a compound, with a pKa = 8.4, 100 times greater in its acidic form than in its basic form? At what pH is 50% of a compound, with a pKa = 7.3, in its basic form?

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Domanda del libro di testo

For each of the following compounds, indicate the pH at which

a. 50% of the compound is in a form that possesses a charge.

1. CH3CH2COOH (pKa = 4.9)

2. CH3N+H3 (pKa = 10.7)

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Domanda del libro di testo

A naturally occurring amino acid such as alanine has a group that is a carboxylic acid and a group that is a protonated amine. The pKa values of the two groups are shown.

d. Draw the structure of alanine in a solution at pH = 12.

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Domanda del libro di testo

A naturally occurring amino acid such as alanine has a group that is a carboxylic acid and a group that is a protonated amine. The pKa values of the two groups are shown.

e. Is there a pH at which alanine is uncharged (that is, neither group has a charge)?

f. At what pH does alanine have no net charge (that is, the amount of negative charge is the same as the amount of positive charge)?

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Domanda del libro di testo

Given the data in Problem 47:

a. What pH would you make the water layer to cause the carboxylic acid to dissolve in the water layer and the amine to dissolve in the ether layer?

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Domanda del libro di testo

For each of the following compounds, indicate the pH at which

b. more than 99% of the compound is in a form that possesses a charge.

    1. CH3CH2COOH (pKa = 4.9)

    2. CH3N+H3 (pKa = 10.7)

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