/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 30 Consider a \(0.10 \mathrm{M} \ma... [FREE SOLUTION] | 91影视

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Consider a \(0.10 \mathrm{M} \mathrm{H}_{2} \mathrm{CO}_{3}\) solution and a \(0.10 \mathrm{M} \mathrm{H}_{2} \mathrm{SO}_{4}\) solu- tion. Without doing any detailed calculations, choose one of the following statements that best describes the \(\left[\mathrm{H}^{+}\right]\) of each solution and explain your answer. a. The \(\left[\mathrm{H}^{+}\right]\) is less than \(0.10 \mathrm{M}\). b. The \(\left[\mathrm{H}^{+}\right]\) is \(0.10 \mathrm{M}\). c. The \(\left[\mathrm{H}^{+}\right]\) is between \(0.10 \mathrm{M}\) and \(0.20 \mathrm{M}\). d. The \(\left[\mathrm{H}^{+}\right]\) is \(0.20 \mathrm{M}\).

Short Answer

Expert verified
For the given solutions, the H鈦 ion concentration of the 0.10 M H鈧侰O鈧 solution is less than 0.10 M (option a), and the H鈦 ion concentration of the 0.10 M H鈧係O鈧 solution is between 0.10 M and 0.20 M (option c). This is because H鈧侰O鈧 is a weak acid and does not ionize completely, while H鈧係O鈧 is a strong acid and ionizes in two steps, contributing more H鈦 ions but not as much as 0.10 M in the second step.

Step by step solution

01

Identify the acid properties of the given molecules

We have to determine whether the given acids are strong or weak. - H鈧侰O鈧 (carbonic acid) is a weak acid. In the case of weak acids, only partial ionization occurs, and the equilibrium lies more on the reactant side. - H鈧係O鈧 (sulfuric acid) is a strong acid, and it ionizes completely when dissolved in water.
02

Determine H鈦 ion production

Now that we know the behavior of the given acids, we can determine their H鈦 ion production: - In a 0.10 M H鈧侰O鈧 (weak acid) solution, not all the acid molecules ionize, and only a fraction of them will donate their hydrogen ions, which means the concentration of H鈦 ions will be less than 0.10 M. - In a 0.10 M H鈧係O鈧 (strong acid) solution, sulfuric acid has two acidic hydrogen atoms and ionizes in two steps. Since H鈧係O鈧 is a strong acid, it will ionize completely in the first step. The second step, however, is the ionization of the resulting bisulfate ion (HSO鈧勨伝), which will not ionize as much as the first step, contributing more H鈦 ions but not as much as 0.10 M. Hence, the overall H鈦 concentration will lie between 0.10 M and 0.20 M.
03

Compare the options with your findings

Based on our analysis, - The H+ concentration in the 0.10 M H鈧侰O鈧 solution is less than 0.10 M, which corresponds to option (a). - The H+ concentration in the 0.10 M H鈧係O鈧 solution is between 0.10 M and 0.20 M, which corresponds to option (c). So, the final answer is that the H鈦 ion concentration of the H鈧侰O鈧 solution corresponds to option (a), and the H鈦 ion concentration of the H鈧係O鈧 solution corresponds to option (c).

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Key Concepts

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

Acid Strength
Understanding acid strength is crucial when studying chemistry, particularly in the context of how acids react in solution. Acid strength refers to the tendency of an acid to donate protons (hydrogen ions, \( \text{H}^+ \)) when in an aqueous solution. Strong acids, like sulfuric acid (\( \text{H}_2\text{SO}_4 \)), dissociate completely in water, releasing all of their hydrogen ions. This characteristic leads to high hydrogen ion concentrations in the solution.

Conversely, weak acids like carbonic acid (\( \text{H}_2\text{CO}_3 \)) only partially dissociate, meaning only a fraction of the available hydrogen ions is released into the solution. As a result, weak acids lead to lower hydrogen ion concentrations. It is worth noting that the extent of ionization greatly impacts the pH of the solution and its reactivity with other substances.
Ionization of Acids
Ionization of acids is the process by which an acid releases hydrogen ions into a solution. The ionization process is commonly represented by a chemical equilibrium between the non-ionized acid and the ions produced. For a generic acid, \( HA \), the ionization reaction can be written as:\[ HA \leftrightarrow \text{H}^+ + A^- \]

In water, strong acids fully ionize, shifting the equilibrium far towards the products, resulting in a large concentration of \( \text{H}^+ \). On the other hand, weak acids only partially ionize, which means that at equilibrium, there is a significant amount of the non-ionized acid remaining alongside the ions. This difference in ionization levels is a fundamental concept when predicting the behavior of acids in various chemical reactions.
Hydrogen Ion Concentration
Hydrogen ion concentration, often represented as \( [\text{H}^+] \), is a measure of the amount of hydrogen ions present in a solution. It serves as an essential indicator of a solution's acidity. The higher the concentration of hydrogen ions, the more acidic the solution is, which corresponds to a lower pH value.

To illustrate, a 0.10 M solution of a strong acid would tend to have a higher \( \text{H}^+ \) concentration, potentially approaching 0.10 M (or higher if the acid can provide more than one \( \text{H}^+ \) per molecule). In contrast, a 0.10 M solution of a weak acid will have a lower \( \text{H}^+ \) concentration because not all of the acid molecules will ionize. Understanding this concept is vital when determining the pH of a solution and its corresponding chemical behavior.
Weak vs Strong Acids
The distinction between weak and strong acids is an important concept in chemistry. It primarily involves the degree of ionization that acids undergo in aqueous solution.

Strong acids, such as \( \text{H}_2\text{SO}_4 \), ionize completely, which means they release all their available hydrogen ions into the solution, enhancing their reactivity. In the exercise, sulfuric acid's full ionization in the first dissociation step, along with the partial ionization of the bisulfate ion (\( \text{HSO}_4^- \)), leads to an \( \text{H}^+ \) concentration that is between 0.10 M and 0.20 M.

In contrast, weak acids like \( \text{H}_2\text{CO}_3 \) only partially ionize in solution. This partial ionization leads to lower hydrogen ion concentrations, as not all of the acid molecules contribute to \( \text{H}^+ \) ions. Consequently, the \( \text{H}^+ \) concentration for a weak acid solution like \( \text{H}_2\text{CO}_3 \) is less than 0.10 M, which also highlights the importance of understanding the nature of the acid when anticipating its ion concentration and its effect on pH.

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Most popular questions from this chapter

Identify the Lewis acid and the Lewis base in each of the following reactions. a. \(\mathrm{B}(\mathrm{OH})_{3}(a q)+\mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{B}(\mathrm{OH})_{4}^{-}(a q)+\mathrm{H}^{+}(a q)\) b. \(\mathrm{Ag}^{+}(a q)+2 \mathrm{NH}_{3}(a q) \rightleftharpoons \mathrm{Ag}\left(\mathrm{NH}_{3}\right)_{2}^{+}(a q)\) c. \(\mathrm{BF}_{3}(g)+\mathrm{F}^{-}(a q) \rightleftharpoons \mathrm{BF}_{4}^{-}(a q)\)

What are the major species present in \(0.250 \mathrm{M}\) solutions of each of the following acids? Calculate the \(\mathrm{pH}\) of each of these solutions. a. \(\mathrm{HNO}_{2}\) b. \(\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H}\left(\mathrm{HC}_{2} \mathrm{H}_{3} \mathrm{O}_{2}\right)\)

Determine \(\left[\mathrm{OH}^{-}\right],\left[\mathrm{H}^{+}\right]\), and the \(\mathrm{pH}\) of each of the following solutions. a. \(1.0 \mathrm{M} \mathrm{KCl}\) b. \(1.0 \mathrm{M} \mathrm{KF}\)

Identify the Lewis acid and the Lewis base in each of the following reactions. a. \(\mathrm{Fe}^{3+}(a q)+6 \mathrm{H}_{2} \mathrm{O}(l) \rightleftharpoons \mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}^{3+}(a q)\) b. \(\mathrm{H}_{2} \mathrm{O}(l)+\mathrm{CN}^{-}(a q) \rightleftharpoons \mathrm{HCN}(a q)+\mathrm{OH}^{-}(a q)\) c. \(\mathrm{HgI}_{2}(s)+2 \mathrm{I}^{-}(a q) \rightleftharpoons \mathrm{HgI}_{4}{ }^{2-}(a q)\)

What are the major species present in \(0.250 M\) solutions of each of the following acids? Calculate the \(\mathrm{pH}\) of each of these solutions. a. \(\mathrm{HClO}_{4}\) b. \(\mathrm{HNO}_{3}\)

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