The ionic product of water is defined as:
"K_w = [H_3O^+][OH^-] = 10^{-14}" .
Therefore, the concentration of hydroxide ions is:
"[OH^-] =\\frac{K_w}{[H_3O^+]} =\\frac{10^{-14}}{1.5\\cdot10^{-6}}=6.7\\cdot10^{-9}" M.
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