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What is the (H+] of a solution that is 1000 times more basic than pH=9?

User Bhakta
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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.

User Alex Avrutin
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