Chapter 16: Problem 80
Write a reaction for each of the following in which the species acts as a Bro酶nsted base. The equilibrium should favor the product side. a. \(\mathrm{H}_{2} \mathrm{O}\) b. \(\mathrm{HCO}_{3}^{-}\) c. \(\mathrm{NH}_{3}\) d. \(\mathrm{H}_{2} \mathrm{PO}_{4}^{-}\)
Short Answer
Expert verified
HCl + H鈧侽 鈬 H鈧僌鈦 + Cl鈦; HF + HCO鈧冣伝 鈬 H鈧侰O鈧 + F鈦; HCl + NH鈧 鈫 NH鈧勨伜 + Cl鈦; HF + H鈧侾O鈧勨伝 鈬 H鈧働O鈧 + F鈦. Equilibrium favors products.
Step by step solution
01
Understand the Br酶nsted Base
A Br酶nsted base is a species that can accept a proton (H鈦) from another species. Therefore, our task is to identify reactions where each given species acts as a Br酶nsted base by accepting a proton from an acid.
02
React H鈧侽 as a Br酶nsted Base
When \(\mathrm{H}_{2} \mathrm{O}\) acts as a Br酶nsted base, it can accept a proton to form \(\mathrm{H}_{3} \mathrm{O}^{+}\). Consider its reaction with \(\mathrm{HCl}\):\[\mathrm{H}_{2}\mathrm{O} + \mathrm{HCl} \rightleftharpoons \mathrm{H}_{3}\mathrm{O}^{+} + \mathrm{Cl}^{-}\]The equilibrium favors products because \(\mathrm{HCl}\) is a strong acid.
03
React HCO鈧冣伝 as a Br酶nsted Base
The bicarbonate ion \( \mathrm{HCO}_{3}^{-} \) can accept a proton to form \( \mathrm{H}_{2} \mathrm{CO}_{3} \). Consider its reaction with \( \mathrm{HF} \):\[\mathrm{HCO}_{3}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{2}\mathrm{CO}_{3} + \mathrm{F}^{-}\]The equilibrium is product-favored as \( \mathrm{HF} \) is a weak acid and gives up its proton.
04
React NH鈧 as a Br酶nsted Base
Ammonia (\( \mathrm{NH}_{3} \)) can accept a proton to form \( \mathrm{NH}_{4}^{+} \). An appropriate reaction with an acid like \( \mathrm{HCl} \):\[\mathrm{NH}_{3} + \mathrm{HCl} \rightarrow \mathrm{NH}_{4}^{+} + \mathrm{Cl}^{-}\]This reaction is complete (favors the products) because \( \mathrm{HCl} \) is a strong acid.
05
React H鈧侾O鈧勨伝 as a Br酶nsted Base
Dihydrogen phosphate (\( \mathrm{H}_{2} \mathrm{PO}_{4}^{-} \)) can accept a proton to form \( \mathrm{H}_{3} \mathrm{PO}_{4} \). Consider its reaction with \( \mathrm{HF} \):\[\mathrm{H}_{2} \mathrm{PO}_{4}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{3} \mathrm{PO}_{4} + \mathrm{F}^{-}\]The equilibrium position favors the products as \( \mathrm{HF} \) is less strong than the corresponding acid.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Proton Transfer in Br酶nsted Bases
Proton transfer is a central concept in understanding how Br酶nsted bases function. Essentially, a proton transfer involves the movement of a hydrogen ion (H鈦) from one molecule to another. In the realm of acids and bases, a Br酶nsted base is any species that can accept a proton.
The proton donor is a Br酶nsted acid. For instance, when water ( \(\mathrm{H}_{2}\mathrm{O}\) ) acts as a Br酶nsted base, it accepts a proton from an acid like hydrochloric acid ( \(\mathrm{HCl}\) ). This transfer converts \(\mathrm{H}_{2}\mathrm{O}\) into the hydronium ion ( \(\mathrm{H}_{3}\mathrm{O}^{+}\) ), while \(\mathrm{HCl}\) becomes \(\mathrm{Cl}^{-}\) . - Example: \[\mathrm{H}_{2}\mathrm{O} + \mathrm{HCl} \rightarrow \mathrm{H}_{3}\mathrm{O}^{+} + \mathrm{Cl}^{-}\] This reaction clearly shows the proton transfer from \(\mathrm{HCl}\) to \(\mathrm{H}_{2}\mathrm{O}\) .
For a species like \(\mathrm{NH}_{3}\) , which becomes \(\mathrm{NH}_{4}^{+}\) upon accepting a proton, the process is similar. Ammonia accepts the proton from \(\mathrm{HCl}\) , making it a classic example of a Br酶nsted base in action. - Example: \[\mathrm{NH}_{3} + \mathrm{HCl} \rightarrow \mathrm{NH}_{4}^{+} + \mathrm{Cl}^{-}\] In each proton transfer, new substances are created, which are often more stable or react further in a series of reactions.
The proton donor is a Br酶nsted acid. For instance, when water ( \(\mathrm{H}_{2}\mathrm{O}\) ) acts as a Br酶nsted base, it accepts a proton from an acid like hydrochloric acid ( \(\mathrm{HCl}\) ). This transfer converts \(\mathrm{H}_{2}\mathrm{O}\) into the hydronium ion ( \(\mathrm{H}_{3}\mathrm{O}^{+}\) ), while \(\mathrm{HCl}\) becomes \(\mathrm{Cl}^{-}\) . - Example: \[\mathrm{H}_{2}\mathrm{O} + \mathrm{HCl} \rightarrow \mathrm{H}_{3}\mathrm{O}^{+} + \mathrm{Cl}^{-}\] This reaction clearly shows the proton transfer from \(\mathrm{HCl}\) to \(\mathrm{H}_{2}\mathrm{O}\) .
For a species like \(\mathrm{NH}_{3}\) , which becomes \(\mathrm{NH}_{4}^{+}\) upon accepting a proton, the process is similar. Ammonia accepts the proton from \(\mathrm{HCl}\) , making it a classic example of a Br酶nsted base in action. - Example: \[\mathrm{NH}_{3} + \mathrm{HCl} \rightarrow \mathrm{NH}_{4}^{+} + \mathrm{Cl}^{-}\] In each proton transfer, new substances are created, which are often more stable or react further in a series of reactions.
Understanding Reaction Equilibrium
Equilibrium in a chemical reaction signifies that the rate of the forward reaction is equal to the rate of the reverse reaction. This balance is crucial in reactions involving acids and bases, as it determines the position at which the reaction "settles."
Take the example of \(\mathrm{HCO}_{3}^{-}\) reacting with \(\mathrm{HF}\) . The reaction is written as:
\[\mathrm{HCO}_{3}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{2}\mathrm{CO}_{3} + \mathrm{F}^{-}\]
In this case, equilibrium favors products because \(\mathrm{HF}\) , being a weaker acid, releases its protons more readily when reacting with \(\mathrm{HCO}_{3}^{-}\) . The position of equilibrium depends significantly on the relative strengths of the acids and bases involved.
In reactions with strong acids like \(\mathrm{HCl}\) , we often find that the reaction goes to completion rather than reaching equilibrium. This is because strong acids dissociate fully, making their protons readily available for transfer, effectively "driving" the reaction to the product side. - Strong acid reaction (complete): \[\mathrm{NH}_{3} + \mathrm{HCl} \rightarrow \mathrm{NH}_{4}^{+} + \mathrm{Cl}^{-}\] - Weaker acid reaction (equilibrium): \[\mathrm{H}_{2}\mathrm{PO}_{4}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{3}\mathrm{PO}_{4} + \mathrm{F}^{-}\] Understanding these differences helps us predict whether a reaction will strongly favor products or balance out at equilibrium.
Take the example of \(\mathrm{HCO}_{3}^{-}\) reacting with \(\mathrm{HF}\) . The reaction is written as:
\[\mathrm{HCO}_{3}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{2}\mathrm{CO}_{3} + \mathrm{F}^{-}\]
In this case, equilibrium favors products because \(\mathrm{HF}\) , being a weaker acid, releases its protons more readily when reacting with \(\mathrm{HCO}_{3}^{-}\) . The position of equilibrium depends significantly on the relative strengths of the acids and bases involved.
In reactions with strong acids like \(\mathrm{HCl}\) , we often find that the reaction goes to completion rather than reaching equilibrium. This is because strong acids dissociate fully, making their protons readily available for transfer, effectively "driving" the reaction to the product side. - Strong acid reaction (complete): \[\mathrm{NH}_{3} + \mathrm{HCl} \rightarrow \mathrm{NH}_{4}^{+} + \mathrm{Cl}^{-}\] - Weaker acid reaction (equilibrium): \[\mathrm{H}_{2}\mathrm{PO}_{4}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{3}\mathrm{PO}_{4} + \mathrm{F}^{-}\] Understanding these differences helps us predict whether a reaction will strongly favor products or balance out at equilibrium.
Strong and Weak Acids in Br酶nsted Reactions
In the context of Br酶nsted reactions, the terms "strong" and "weak" refer to an acid's ability to donate protons. A strong acid donates protons more completely, while a weak acid does so to a lesser extent.
Let's consider \(\mathrm{HCl}\) and \(\mathrm{HF}\) . \(\mathrm{HCl}\) is a strong acid. It completely disassociates in solution, making its protons available and driving reactions toward completion, such as when reacting with \(\mathrm{NH}_{3}\) . \(\mathrm{HF}\) , on the other hand, is a weak acid. It doesn't give up its protons as easily, which impacts the equilibrium of its reactions.
This distinction is evident in reactions like:
- When \(\mathrm{H}_{2}\mathrm{PO}_{4}^{-}\) acts as a base with \(\mathrm{HF}\) , it results in an equilibrium that slightly favors products:
\[\mathrm{H}_{2}\mathrm{PO}_{4}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{3}\mathrm{PO}_{4} + \mathrm{F}^{-}\]
The strength of an acid directly influences the direction and extent of proton transfer reactions. It's important to recognize that the equilibrium constant, symbolized as \(K_{eq}\) , provides insights into this behavior, indicating the extent to which products or reactants are favored in a reaction. Recognizing and predicting how acids behave in a Br酶nsted reaction is crucial for mastering acid-base chemistry.
Let's consider \(\mathrm{HCl}\) and \(\mathrm{HF}\) . \(\mathrm{HCl}\) is a strong acid. It completely disassociates in solution, making its protons available and driving reactions toward completion, such as when reacting with \(\mathrm{NH}_{3}\) . \(\mathrm{HF}\) , on the other hand, is a weak acid. It doesn't give up its protons as easily, which impacts the equilibrium of its reactions.
This distinction is evident in reactions like:
- When \(\mathrm{H}_{2}\mathrm{PO}_{4}^{-}\) acts as a base with \(\mathrm{HF}\) , it results in an equilibrium that slightly favors products:
\[\mathrm{H}_{2}\mathrm{PO}_{4}^{-} + \mathrm{HF} \rightleftharpoons \mathrm{H}_{3}\mathrm{PO}_{4} + \mathrm{F}^{-}\]
The strength of an acid directly influences the direction and extent of proton transfer reactions. It's important to recognize that the equilibrium constant, symbolized as \(K_{eq}\) , provides insights into this behavior, indicating the extent to which products or reactants are favored in a reaction. Recognizing and predicting how acids behave in a Br酶nsted reaction is crucial for mastering acid-base chemistry.