Final answer:
The hydrogen ion concentration of ethanoic acid is less than 0.1 mol/dm³. The approximate hydrogen ion concentration of ethanoic acid is 0.001 mol/dm³.
Step-by-step explanation:
The pH of a solution is a measure of its acidity. It is determined by the concentration of hydrogen ions (H+) in the solution. A lower pH value indicates a higher concentration of hydrogen ions and a higher acidity.
In this case, the hydrochloric acid solution has a pH of 1.0, which means it has a higher hydrogen ion concentration compared to the ethanoic acid solution, which has a pH of 2.9. From this information, we can infer that the hydrogen ion concentration of the ethanoic acid solution is lower than 0.1 mol/dm³.
Based on the given options, the approximate hydrogen ion concentration of ethanoic acid is less than 0.1 mol/dm³. Therefore, the correct answer is (a) 0.001 mol/dm³.