A dilute solution of HCI contains `[H3O^(+)] - 5.4 xx 10^(-5) " mol " L^(-1) `at 298 K. What is the concentration of hydroxyl ions in this solution?

Explanation

To find the concentration of hydroxyl ions \([OH^-]\) in a dilute solution of HCl, we can use the relationship between the concentrations of hydronium ions \([H_3O^+]\) and hydroxyl ions \([OH^-]\) in water at 298 K. The product of these concentrations is given by the ion product of water (\(K_w\)):

\[ K_w = [H_3O^+][OH^-] = 1.0 \times 10^{-14} \, \text{mol}^2 \, \text{L}^{-2} \]

Given:
\[
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