Final answer:
To determine the [H+] of a solution that is 1000 times more basic than a solution with a pH of 9, one must calculate the [H+] for a pH of 9, which is 1.0 × 10^-9 M, and then divide by 1000, resulting in a [H+] of 1.0 × 10^-12 M.
Step-by-step explanation:
The question is asking us to determine the concentration of hydrogen ions ([H+]) in a solution that is 1000 times more basic than a solution with a pH of 9. To solve this, we need to understand the logarithmic relationship between pH and [H+].
First, let's recall that pH is defined as the negative logarithm of the hydrogen ion concentration:
pH = -log[H+]
If a solution has a pH of 9, we can find the [H+] by reversing this definition:
[H+] = 10^-pH = 10^-9
This gives us a [H+] of 1.0 × 10^-9 M. Now, because the solution is 1000 times more basic, and knowing that a basic solution has a lower [H+] than an acidic solution, we need to divide this concentration by 1000.
[H+] = 1.0 × 10^-9 M / 1000 = 1.0 × 10^-12 M
Thus, the [H+] of a solution that is 1000 times more basic than a solution with a pH of 9 is 1.0 × 10^-12 M.