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What is the \(\mathrm{pH}\) of a solution whose \(\mathrm{H}_{3} \mathrm{O}^{+}\) concentration is \(10.0 \mathrm{M}\) ? Is this solution acidic or basic?

Short Answer

Expert verified
The pH of the solution with a hydronium ion concentration of 10.0 M is -1, and since the pH is lower than 7, the solution is acidic.

Step by step solution

01

Recall the pH formula

The pH of a solution is defined as the negative logarithm (base 10) of the hydronium ion concentration. The formula for this is: \[pH = -\log[H_{3}O^+]\]
02

Substitute the given concentration

Given the hydronium ion concentration, [H3O+] = 10.0 M, we will substitute this value into the pH formula: \[pH = -\log[10.0]\]
03

Calculate the pH

Now, we will calculate the pH using a calculator or logarithm (base 10) tables: \[pH = -\log[10.0] = -1\]
04

Determine if the solution is acidic or basic

Using the pH scale, we can determine whether the given solution is acidic or basic. The pH scale ranges from 0 to 14: - A pH lower than 7 indicates an acidic solution. - A pH of 7 indicates a neutral solution. - A pH greater than 7 indicates a basic solution. Since the pH obtained in this problem is -1, which is lower than 7, the solution is acidic. So, the pH of the solution is -1, and the solution is acidic.

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Key Concepts

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

pH Scale
The pH scale is an incredibly important tool in chemistry, particularly when dealing with aqueous solutions. It measures how acidic or basic a substance is on a scale from 0 to 14. What's fascinating about the pH scale is that it's logarithmic, which means each whole pH value below 7 is ten times more acidic than the next higher number. For example, a pH of 3 is ten times more acidic than a pH of 4.

At the mid-point, we have a pH of 7, which represents a neutral solution, like pure water. Anything below 7 is considered acidic, and anything above 7 is basic or alkaline. Understanding the concept of the pH scale is essential, as it gives us a quick and precise measure of the acidity or basicity of a solution, allowing us to make informed decisions in various scientific and industrial processes.
Hydronium Ion Concentration
Hydronium ion concentration ([H3O+]) is the measure of the number of hydronium ions present in a solution. These are simply water molecules with an extra proton, giving them a positive charge. The concentration of these ions is directly linked to the acidity of a solution. The higher the concentration of hydronium ions, the more acidic the solution is.

To understand this concept completely, it's crucial to grasp that acids are substances that donate protons in an aqueous solution, leading to an increased concentration of hydronium ions. It's also worth noting that we often use the concentration of hydronium ions as a convenient way for chemists to calculate pH, through the formula \(pH = -\log[H_{3}O^+]\). This relationship is pivotal because it provides a clear and quantifiable way of defining the acidity of a substance.
Acidity and Basicity
Acidity and basicity are the foundations of understanding the chemical nature of substances. They play a critical role in chemical reactions and are often defined by the pH value of a substance. Acids are proton donors and have a higher concentration of hydronium ions, resulting in a lower pH. When we say that something is acidic, we're acknowledging the presence of more free hydrogen ions in the solution.

On the flip side, basicity refers to the ability of a substance to accept protons or donate hydroxide ions (OH-). Basic or alkaline substances have a lower concentration of hydronium ions and a higher pH. Substances with a pH value above 7, like baking soda or ammonia, are deemed basic. Understanding the principles of acidity and basicity not only is essential in the realm of chemistry but also has practical applications in fields ranging from medicine to agriculture and environmental science.

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Most popular questions from this chapter

Hydride ion, \(\mathrm{H}\), is an exceptionally strong base, reacting with water to produce lots of hydroxide ion and \(\mathrm{H}_{2}\) gas. The \(K_{\mathrm{eq}}\) for this reaction is huge. (a) Write the balanced equation for the reaction between hydride and water. (b) Explain why \(\mathrm{H}_{2}\) gas forms. (Hint: Use the Bronsted-Lowry definition of base.)

When \(\mathrm{Fe}^{3+}\) ions dissolve in water, they immediately form \(\left[\mathrm{Fe}\left(\mathrm{OH}_{2}\right)_{6}\right]^{3+}\) aqueous ions in which six molecules of water bind to the iron via six Fe-O bonds. However, this is not all that happens. The solution also becomes acidic. Interestingly, \(\mathrm{Fe}^{2+}\) ions also form similar \(\left[\mathrm{Fe}\left(\mathrm{OH}_{2}\right)_{6}\right]^{2+}\) ions, but the solution does not become acidic. Explain why one solution becomes acidic and the other does not. (Hint: The more positive the metal center, the more it attracts electrons to itself. Think about the effect this has on bonds within the ions.)

In water, the hydrogen phosphate ion, \(\mathrm{HPO}_{4}^{2-}\), can act both as a weak base and as a weak acid. (a) Write an equilibrium equation that shows hydrogen phosphate acting as a weak acid in water. (b) Write an equilibrium equation that shows bisulfate acting as a weak base in water. (c) What information would you need to help you determine whether a solution of hydrogen phosphate is going to be slightly acidic or slightly basic? How would you use that information to find out?

Amines are organic compounds that contain an \(\mathrm{NH}_{2}\) group, and water-soluble amines are weak bases in water. For example, the compound methylamine, \(\mathrm{H}_{3} \mathrm{C}-\mathrm{NH}_{2}\), is a weak base. (a) Draw a dot diagram for methylamine. (b) Using dot diagrams, show the equilibrium reaction between methylamine and water. (c) To which side does the equilibrium in part (b) lie? What did we tell you that allowed you to figure out the answer? (d) The similar compound ethane, \(\mathrm{H}_{3} \mathrm{C}-\mathrm{CH}_{3}\), does not act as a weak base. Why can methylamine act as a weak base but \(\mathrm{H}_{3} \mathrm{C}-\mathrm{CH}_{3}\) can't? (Hint: Draw a dot diagram for \(\mathrm{H}_{3} \mathrm{C}-\mathrm{CH}_{3}\).) (e) Is it appropriate to call methylamine an electrolyte? If so, is it weak or strong? Explain.

(a) List all the weak bases phosphoric acid, \(\mathrm{H}_{3} \mathrm{PO}_{4}\), can produce via successive losses of its protons. (b) Of the bases you listed, which has no ability to serve as a weak acid? (c) Phosphorous acid, \(\mathrm{H}_{3} \mathrm{PO}_{3}\), is a diprotic acid, even though there are three \(\mathrm{H}\) atoms in the formula. Draw a Lewis dot diagram for phosphorous acid. (Hint: Only H bound directly to \(\mathrm{O}\) is acidic).

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