Problem 176
Question
Tooth enamel is largely hydroxyapatite \(\left[\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{3} \mathrm{OH}\right]\). When it dissolves in water (a process called demineralization), it dissociates as follows: $$ \mathrm{Ca}_{5}\left(\mathrm{PO}_{4}\right)_{3} \mathrm{OH} \longrightarrow 5 \mathrm{Ca}^{2+}+3 \mathrm{PO}_{4}^{3-}+\mathrm{OH}^{-} $$ The reverse process, called remineralization, is the body's natural defense against tooth decay. Acids produced from food remove the \(\mathrm{OH}^{-}\) ions and thereby weaken the enamel layer. Most toothpastes contain a fluoride compound such as \(\mathrm{NaF}\) or \(\mathrm{SnF}_{2}\). What is the function of these compounds in preventing tooth decay?
Step-by-Step Solution
Verified Answer
Fluoride ions form fluorapatite, strengthening enamel against acids.
1Step 1: Understanding Hydroxyapatite Dissociation
When hydroxyapatite \[\mathrm{Ca}_{5}\left(\mathrm{PO}_{4}\right)_{3} \mathrm{OH}\] dissolves in water, it dissociates into ions:\[\mathrm{Ca}_{5}\left(\mathrm{PO}_{4}\right)_{3} \mathrm{OH} \rightarrow 5 \mathrm{Ca}^{2+} + 3 \mathrm{PO}_{4}^{3-} + \mathrm{OH}^{-}\]This dissociation removes hydroxide ions \(\mathrm{OH}^{-}\), weakening the enamel.
2Step 2: Effect of Acids on Enamel
Acids from food consumption further drive the dissociation process by binding with \(\mathrm{OH}^{-}\) ions, increasing the concentration of hydrogen ions (\(\mathrm{H}^+\)), leading to increased demineralization.
3Step 3: Role of Fluoride Ions
Fluoride compounds like \(\mathrm{NaF}\) or \(\mathrm{SnF}_{2}\) release fluoride ions (\(\mathrm{F}^-\)) into the mouth. Fluoride ions can substitute for \(\mathrm{OH}^-\) ions in hydroxyapatite, creating a more acid-resistant substance called fluorapatite.
4Step 4: Formation of Fluorapatite
Fluorapatite \(\left(\mathrm{Ca}_5\left(\mathrm{PO}_4\right)_3\mathrm{F}\right)\) is less soluble than hydroxyapatite in acidic conditions, thus enhancing the enamel's resistance to acid-induced demineralization.
Key Concepts
HydroxyapatiteFluoride CompoundsTooth Decay PreventionFluorapatite Formation
Hydroxyapatite
Hydroxyapatite is a naturally occurring mineral form of calcium apatite, with the chemical formula \(\mathrm{Ca}_{5}(\mathrm{PO}_{4})_{3}\mathrm{OH}\). It constitutes the primary mineral component of human tooth enamel. Hydroxyapatite is important in maintaining the structural integrity and hardness of teeth. However, it is vulnerable to dissolution, especially in the presence of acids. During demineralization, hydroxyapatite dissociates into free calcium ions \(\mathrm{Ca}^{2+}\), phosphate ions \(\mathrm{PO}_{4}^{3-}\), and hydroxide ions \(\mathrm{OH}^{-}\). This process weakens teeth by eroding the mineral content of enamel. Understanding hydroxyapatite's role is crucial in exploring how external factors like diet and oral care products can affect tooth health.
Fluoride Compounds
Fluoride compounds, such as sodium fluoride (\(\mathrm{NaF}\)) and stannous fluoride (\(\mathrm{SnF}_2\)), are commonly found in dental health products. These compounds release fluoride ions \(\mathrm{F}^-\) when they come into contact with saliva. The presence of fluoride in the mouth promotes the remineralization of enamel, especially after an episode of demineralization due to carbohydrate consumption and acid production.
- They provide fluoride ions that can replace hydroxide ions \(\mathrm{OH}^-\) in the tooth enamel structure.
- Fluoride ions help in the formation of fluorapatite, a stronger and more resilient mineral.
Tooth Decay Prevention
Tooth decay is primarily caused by the demineralization of enamel due to acids produced from food and beverages. Preventing tooth decay involves protecting the enamel from acid attacks and supporting its healing process through remineralization.
- Dentists recommend minimizing the intake of sugary and acidic foods to reduce acid exposure.
- Regular brushing with fluoride toothpaste removes acidic plaque and delivers fluoride to the enamel.
Fluorapatite Formation
Fluorapatite \((\mathrm{Ca}_5(\mathrm{PO}_4)_3\mathrm{F})\) forms when fluoride ions \(\mathrm{F}^-\) substitute the hydroxide ions \(\mathrm{OH}^-\) in the structure of hydroxyapatite. This substitution makes the crystalline structure of enamel less susceptible to acid dissolution.
- Fluorapatite is less soluble than hydroxyapatite, especially under acidic conditions, which helps protect teeth from further demineralization.
- It offers greater resistance to demineralization caused by bacteria-produced acids.
Other exercises in this chapter
Problem 174
Hemoglobin (Hb) is a blood protein that is responsible for transporting oxygen. It can exist in the protonated form as \(\mathrm{HbH}^{+}\). The binding of oxyg
View solution Problem 175
Tooth enamel is largely hydroxyapatite \(\left[\mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{3} \mathrm{OH}\right]\). When it dissolves in water (a process calle
View solution Problem 177
The atmospheric sulfur dioxide \(\left(\mathrm{SO}_{2}\right)\) concentration over a certain region is 0.12 ppm by volume. Calculate the \(\mathrm{pH}\) of the
View solution Problem 178
About half of the hydrochloric acid produced annually in the United States ( 3.0 billion pounds) is used in metal pickling. This process involves the removal of
View solution