Would benzoic acid be more or less soluble in a \(0.1-M \mathrm{NaOH}\) solution than it is in water?

Short Answer

Expert verified
Benzoic acid will be more soluble in a 0.1M NaOH solution than in water, as it reacts with NaOH to form the highly soluble sodium benzoate salt (C6H5COONa).

Step by step solution

01

Write the chemical reaction between benzoic acid and NaOH.

First, we need to write the chemical reaction between benzoic acid (C6H5COOH) and sodium hydroxide (NaOH): \[ C6H5COOH + NaOH \rightarrow C6H5COONa + H2O \] In this reaction, benzoic acid donates a proton to NaOH, forming the sodium benzoate salt (C6H5COONa) and water (H2O).
02

Determine the solubility of benzoic acid in water.

Benzoic acid has a solubility of approximately 1.7g per 100ml of water at 20°C. This value can vary slightly depending on the temperature and purity of the benzoic acid.
03

Determine the solubility of sodium benzoate in water.

Sodium benzoate, the salt formed by the reaction of benzoic acid with NaOH, is much more soluble in water than benzoic acid. Its solubility in water is approximately 62g per 100ml of water at 20°C.
04

Compare the solubility of benzoic acid in water with its solubility in NaOH solution.

Since benzoic acid reacts with NaOH to form the highly soluble sodium benzoate salt, the solubility of benzoic acid in the 0.1M NaOH solution will increase as it is converted into sodium benzoate. Therefore, benzoic acid will be more soluble in the 0.1M NaOH solution than it is in water.

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