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Why is HSO \(_{4}^{-}(a q)\) a weaker acid than \(\mathrm{H}_{2} \mathrm{SO}_{4}(a q) ?\)

Short Answer

Expert verified
Answer: HSO4- (aq) is a weaker acid than H2SO4 (aq) due to the difference in stability of their conjugate bases after dissociation. The double negative charge on the conjugate base of HSO4- (SO4^(2-)) makes it less stable, thus making HSO4- a weaker acid compared to H2SO4, which has a more stable conjugate base (HSO4-).

Step by step solution

01

Understand the concept of acidity and dissociation process

Acidity is a measure of an acid's tendency to donate a proton (H+) to a solution. For an acid to be considered strong, it should readily dissociate its proton into the solution, whereas a weak acid is less likely to do so. In this case, we will compare the dissociation of H2SO4 and HSO4- to determine their acidity levels.
02

Write the dissociation equations for H2SO4 and HSO4-

First, let's write down the dissociation equations for both H2SO4 and HSO4-. For H2SO4, the dissociation equation is: H2SO4 (aq) \(\rightarrow\) H+ (aq) + HSO4- (aq) For HSO4-, the dissociation equation is: HSO4- (aq) \(\rightarrow\) H+ (aq) + SO4^(2-) (aq) Comparing these two equations will help us understand the difference in their acidity levels.
03

Analyze the conjugate bases and their stabilization

After losing a proton, the conjugate base formed is HSO4- in the case of H2SO4, and SO4^(2-) in the case of HSO4-. The more stable the conjugate base after dissociation, the stronger the acid. Factors that contribute to the stability of the conjugate base include charge distribution, resonance, and inductive effects. In both HSO4- and SO4^(2-), there is resonance which helps in stabilizing the negative charge on the oxygen atoms. However, there is a slight difference in the charge distribution after dissociation. HSO4- has a single negative charge, while SO4^(2-) has a double negative charge. This double negative charge on SO4^(2-) makes it less stable compared to HSO4-.
04

Relate stability of conjugate bases to the acidity of the acids

Since HSO4- is more stable compared to SO4^(2-), H2SO4 will more readily lose its proton compared to HSO4-. This means that H2SO4 is a stronger acid than HSO4-, which is a weaker acid, as it is less likely to dissociate and donate a proton to the solution. So, to summarize, HSO4- (aq) is a weaker acid than H2SO4 (aq) due to the difference in stability of their conjugate bases after dissociation. The double negative charge on the conjugate base of HSO4- makes it less stable, thus making HSO4- a weaker acid compared to H2SO4.

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Key Concepts

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

Acidity
When we talk about acidity, we refer to how easily an acid can donate a proton (H鈦) to a solution. Strong acids have a high tendency to give away their protons, thus, they dissociate completely in water. On the other hand, weak acids hold onto their protons more tightly and only partially dissociate. This measure of acidity is crucial in distinguishing between strong and weak acids like - **Sulfuric acid (H鈧係O鈧):** Known as a strong acid because it readily releases its protons into the solution, leading to full dissociation.
- **Bisulfate ion (HSO鈧勨伝):** Acts as a weaker acid compared to sulfuric acid. It does not dissociate as completely as H鈧係O鈧, making it less acidic.
Understanding the dissociation tendencies helps predict how these compounds will behave in solution and their impact on chemical reactions.
Conjugate Base
After an acid loses a proton during dissociation, the remaining part is called its conjugate base. The strength of an acid is determined by how stable its conjugate base is.
- **H鈧係O鈧's Conjugate Base (HSO鈧勨伝):** When sulfuric acid loses a proton, it forms the bisulfate ion, HSO鈧勨伝. This ion is relatively stable, which contributes to H鈧係O鈧勨檚 strength as an acid.
- **HSO鈧勨伝's Conjugate Base (SO鈧劼测伝)** : When HSO鈧勨伝 loses a proton, it forms the sulfate ion, SO鈧劼测伝. It carries a double negative charge, making it less stable than HSO鈧勨伝.
The stability of these conjugate bases is vital in understanding why H鈧係O鈧 is a stronger acid than HSO鈧勨伝. A more stable conjugate base generally means the original acid was stronger.
Proton Donation
Proton donation is the process by which an acid gives up a proton. The easier it is for an acid to donate a proton, the stronger that acid is considered. - **H鈧係O鈧:** Known for its strong proton donation capability. It dissociates quickly and completely, offering protons readily to the surrounding solution.
- **HSO鈧勨伝:** Exhibits weaker proton donation as it partly dissociates. It still holds on to its proton with more force than H鈧係O鈧 does initially.
This variance in proton donation ability is a key factor in determining why some acids are stronger than others. Essentially, faster and more complete proton donation equals higher acidity.
Resonance Stabilization
Resonance stabilization is a phenomenon that spreads out charge within a molecule, contributing to the stability of ions like conjugate bases. This is crucial in determining the relative strengths of acids. - **Resonance in HSO鈧勨伝:** Stabilized by resonance as it has several structures that can distribute its negative charge across the molecule.
- **Resonance in SO鈧劼测伝:** Also stabilized by resonance; however, it carries an additional negative charge compared to HSO鈧勨伝, which reduces its overall stability.
The ability to stabilize the negative charge through resonance is significant. Since SO鈧劼测伝 is less stable than HSO鈧勨伝, it implies that HSO鈧勨伝 is a weaker acid than H鈧係O鈧 which can effectively utilize resonance stabilization.

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