Determine whether each of the following is true or false: (a) All strong bases are salts of the hydroxide ion. (b) The addition of a strong base to water produces a solution of \(\mathrm{pH}>7.0\) (c) Because \(\mathrm{Mg}(\mathrm{OH})_{2}\) is not very soluble, it cannot be a strong base.

Short Answer

Expert verified
(a) True: All strong bases are salts of the hydroxide ion, as they fully ionize to produce OH- ions in solution. (b) True: The addition of a strong base to water produces a solution of pH > 7.0 due to the increased concentration of OH- ions. (c) False: Despite its low solubility, Mg(OH)2 can still be a strong base since it fully ionizes into Mg2+ and OH- ions when dissolved in water.

Step by step solution

01

Statement (a): All strong bases are salts of the hydroxide ion.

A strong base is a chemical compound that will fully ionize when dissolved in water, increasing the concentration of hydroxide ions (OH-) in the solution. Salts of the hydroxide ion are formed when a metal ion combines with OH-. Sodium hydroxide (NaOH) and potassium hydroxide (KOH) are common strong bases. Since strong bases fully ionize to produce hydroxide ions, it can be considered true that all strong bases are salts of the hydroxide ion.
02

Statement (b): The addition of a strong base to water produces a solution of pH > 7.0.

The pH scale ranges from 0 to 14 and measures how acidic or basic a solution is. A pH of 7 is neutral, while values below 7 indicate an acidic solution and values above 7 indicate a basic (alkaline) solution. When a strong base is added to water, it ionizes fully to produce a high concentration of OH- ions. This increased concentration of OH- ions causes a rise in pH, resulting in a pH greater than 7, which confirms that this statement is true.
03

Statement (c): Because Mg(OH)2 is not very soluble, it cannot be a strong base.

A strong base refers to the ability of a compound to fully ionize when dissolved in water, increasing the concentration of hydroxide ions (OH-) in the solution. Magnesium hydroxide (Mg(OH)2) has low solubility in water, which means that only a small amount of the compound will dissolve in water. However, when Mg(OH)2 dissolves, it ionizes fully and forms Mg2+ and OH- ions. Although the solubility is low, the fact that it fully ionizes upon dissolving indicates that it can still be considered as a strong base. Therefore, this statement is false.

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