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Label the most acidic hydrogen in each molecule, and justify your choice by using appropriate \(\mathrm{p} K_{\mathrm{a}}\) values. (a) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (b) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (c) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{C} \equiv \mathrm{CH}\) (d) \(\mathrm{HOCCH}_{2} \mathrm{CH}_{2} \mathrm{SH}\) (e) \(\mathrm{CH}_{3} \mathrm{CHCOH}_{\mathrm{CH}}^{\mathrm{HO}}\) (f) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{COH}}^{\mathrm{O}}\) (g) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{CO}^{-}}\) (h) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{OH}\)

Short Answer

Expert verified
Question: Identify the most acidic hydrogen in each of the following molecules and provide values to justify your choice: (a) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (b) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) (c) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{C} \equiv \mathrm{CH}\) (d) \(\mathrm{HOCCH}_{2} \mathrm{CH}_{2} \mathrm{SH}\) (e) \(\mathrm{CH}_{3} \mathrm{CHCOH}_{\mathrm{CH}}^{\mathrm{HO}}\) (f) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2}\|_{\mathrm{COH}}^{\mathrm{O}}\) (g) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{CO}^{-}}\) (h) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{OH}\)

Step by step solution

01

Analyze the molecule and identify the acidic hydrogen

For each molecule, analyze the available hydrogen atoms and determine which one is the most acidic based on its location within the molecule. The hydrogen is more likely to be acidic if it is attached to a more electronegative atom.
02

Use appropriate values to justify our choice

Using pKa values, justify our choice of the most acidic hydrogen. Recall that a lower \(\mathrm{p} K_{\mathrm{a}}\) value denotes a stronger acid, so we'll be looking for the smallest pKa value associated with each molecule. (a) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{O}\) (alcohol), \(\mathrm{p} K_{\mathrm{a}} \approx 16\) (b) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{NH}_{2}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{S}\) (thiol), \(\mathrm{p} K_{\mathrm{a}} \approx 10\) (c) \(\mathrm{HOCH}_{2} \mathrm{CH}_{2} \mathrm{C} \equiv \mathrm{CH}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{O}\) (alcohol), \(\mathrm{p} K_{\mathrm{a}} \approx 16\) (d) \(\mathrm{HOCCH}_{2} \mathrm{CH}_{2} \mathrm{SH}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{O}\) (carboxylic acid), \(\mathrm{p} K_{\mathrm{a}} \approx 4\) (e) \(\mathrm{CH}_{3} \mathrm{CHCOH}_{\mathrm{CH}}^{\mathrm{HO}}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{O}\) (alcohol), \(\mathrm{p} K_{\mathrm{a}} \approx 16\) (f) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2}\|_{\mathrm{COH}}^{\mathrm{O}}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{O}\) (carboxylic acid), \(\mathrm{p} K_{\mathrm{a}} \approx 4\) (g) \(\mathrm{H}_{3} \mathrm{NCH}_{2} \mathrm{CH}_{2} \|_{\mathrm{CO}^{-}}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{N}\) (amine, as carboxylate is already deprotonated), \(\mathrm{p} K_{\mathrm{a}} \approx 38\) (h) \(\mathrm{HSCH}_{2} \mathrm{CH}_{2} \mathrm{OH}\) - Most acidic H: \(\mathrm{H}\) on \(\mathrm{S}\) (thiol), \(\mathrm{p} K_{\mathrm{a}} \approx 10\) In each case, the most acidic hydrogen has been identified and justified using appropriate \(\mathrm{p} K_{\mathrm{a}}\) values.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding pKa Values
pKa values are essential when it comes to understanding the acidity of different hydrogen atoms within a molecule. The pKa value essentially tells us how easily a hydrogen atom can be removed, with a lower pKa value indicating a stronger acid. In a way, you can think of the pKa as a 'password' that quantifies how tightly a proton is held by a molecule. The easier it is for a molecule to give up a proton (H+), the lower its pKa value is, and the stronger the acid.

For example, substances like carboxylic acids have relatively low pKa values (around 4-5), which signifies that they're quite acidic and can donate a proton with ease. On the other hand, compounds like alcohols and thiols have higher pKa values (around 16 and 10, respectively), implying they are less acidic.

It is important for students to remember that pKa values are not abstract numbers; they play a direct role in predicting the behavior of substances in various chemical reactions, such as esterification or acid-base equilibria. Knowing the pKa allows chemists to manipulate the reaction conditions to favor the formation of desired products.
Molecular Structure Analysis
Analyzing the molecular structure is crucial when identifying the most acidic hydrogen in a molecule. The acidity of a hydrogen atom depends on several factors, such as the electronegativity of the atom it is attached to, the stability of the resulting conjugate base, and the presence of resonance structures.

In acids, hydrogen is often attached to electronegative atoms like oxygen or sulfur. These electronegative atoms draw electron density away from the hydrogen, making it more prone to loss as a proton. For instance, in carboxylic acids, the additional oxygen atom provides resonance stabilization to the conjugate base, which makes the hydrogen more acidic.

In contrast, carbon-hydrogen bonds are generally less acidic because carbon is less electronegative. However, there are exceptions such as hydrogens attached to sp carbon atoms in alkynes, which are more acidic due to the increased s-character of the bond.

Understanding each functional group and the influence of molecular structure on acidity is a cornerstone of organic chemistry. It allows students to predict reaction mechanisms and understand why certain reactants are used in specific syntheses.
Acid Strength Comparison
Comparing the acid strength of different molecules is an integral skill in chemistry, closely linked to both the pKa values and molecular structure. Acid strength can inform us about a substance's reactivity, solubility, and even its biological activity.

When we compare acid strengths, we look at the pKa values and the molecular context that gives rise to such values. For instance, a hydrogen bonded to an oxygen in a carboxylic acid group will usually be more acidic than a hydrogen bonded to an oxygen in a simple alcohol group. This is due to the additional resonance stabilization of the carboxylate anion compared to the alkoxide anion.

To skillfully judge acid strength, students should also consider inductive effects and the overall stability of the conjugate base, which plays a significant role in determining acidity. A stable conjugate base, meaning the anion left behind after the acid has given up its proton, implies a strong acid. Integrating these concepts helps in creating a thorough understanding of acidic and basic properties in various chemical systems.

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Most popular questions from this chapter

In acetic acid, \(\mathrm{CH}_{3} \mathrm{COOH}\), the \(\mathrm{OH}\) hydrogen is more acidic than the \(\mathrm{CH}_{3}\) hydrogens. Explain.

The acid-base chemistry reaction of barium hydroxide \(\left(\mathrm{Ba}(\mathrm{OH})_{2}\right)\) with ammonium thiocyanate \(\left(\mathrm{NH}_{4} \mathrm{SCN}\right)\) in water creates barium thiocyanate, ammonia, and water. The reaction is highly favorable, but also so endothermic that the solutions cools to such an extent that a layer of frost forms on the reaction vessel. Explain how an endothermic reaction can be favorable.

What is the strongest base that can exist in liquid ammonia as a solvent?

Methyl isocyanate, \(\mathrm{CH}_{3}-\mathrm{N}=\mathrm{C}=\mathrm{O}\), is used in the industrial synthesis of a type of pesticide and herbicide known as a carbamate. As a historical note, an industrial accident in Bhopal, India, in 1984 resulted in leakage of an unknown quantity of this chemical into the air. An estimated 200,000 persons were exposed to its vapors, and over 2000 of these people died. (a) Write a Lewis structure for methyl isocyanate, and predict its bond angles. What is the hybridization of its carbonyl carbon? Of its nitrogen atom? (b) Methyl isocyanate reacts with strong acids, such as sulfuric acid, to form a cation. Will this molecule undergo protonation more readily on its oxygen or nitrogen atom? In considering contributing structures to each hybrid, do not consider structures in which more than one atom has an incomplete octet.

Write an equation for the acid-base reaction between 2,4-pentanedione and sodium ethoxide, and calculate its equilibrium constant, \(K_{\text {eq. }}\). The \(\mathrm{p} K_{\mathrm{a}}\) of 2,4 -pentanedione is 9 ; that of ethanol is \(15.9\). 2,4-Pentanedione Sodium ethoxide

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