To determine which concentration of \([H_3O^+]\) is the most acidic, we need to remember that acidity is related to the concentration of hydronium ions in a solution. The higher the concentration of \([H_3O^+]\), the more acidic the solution.
Let's compare the given concentrations:
- \(1 \times 10^{-3}\)
- \(1 \times 10^{-3}\) (duplicate)
- \(1 \times 10^{-5}\)
- \(1 \times 10^{-5}\) (duplicate)
- \(1 \times 10^{-8}\)
- \(1 \times 10^{-8}\) (duplicate)
- \(1 \times 10^{-13}\)
From these concentrations, we can see that:
- \(1 \times 10^{-3}\) is greater than \(1 \times 10^{-5}\)
- \(1 \times 10^{-5}\) is greater than \(1 \times 10^{-8}\)
- \(1 \times 10^{-8}\) is greater than \(1 \times 10^{-13}\)
Thus, the concentration \(1 \times 10^{-3}\) is the highest, indicating that it has the most \([H_3O^+]\) and therefore is the most acidic.
Answer: \(1 \times 10^{-3}\) (most acidic)