1. What is the pH of a solution whose [H3O+] is 1 X 10 -5 M?
2. What is the [H3O+] concentration of a solution with a pH of 9?
3. What is the pH of a solution whose [H3O+] concentration is 3 X 10-3 M?
4. What is the pH of a solution with a [H3O+] concentration of 1 X 10 -12 M?
5. What is the [H3O+] concentration of a solution whose pH is 8.9?
pH = -log(H3O^+)
(H3O^+)(OH^-)= Kw = 1E-14
These two (or their reverses) will work all of these.
To find the pH of a solution or the concentration of H3O+ in a solution, you can use the equation pH = -log[H3O+]. Conversely, to find the concentration of H3O+ in a solution when given the pH, you can rearrange the equation to [H3O+] = 10^(-pH).
Let's apply this equation to the given questions:
1. What is the pH of a solution whose [H3O+] is 1 x 10^-5 M?
To find the pH, we use the equation pH = -log[H3O+]. Plugging in the concentration [H3O+] = 1 x 10^-5 M, we get pH = -log(1 x 10^-5) = -(-5) = 5. Therefore, the pH of the solution is 5.
2. What is the [H3O+] concentration of a solution with a pH of 9?
To find the [H3O+] concentration, we use the equation [H3O+] = 10^(-pH). Plugging in the pH = 9, we get [H3O+] = 10^(-9) = 1 x 10^-9 M. Therefore, the [H3O+] concentration of the solution is 1 x 10^-9 M.
3. What is the pH of a solution whose [H3O+] concentration is 3 x 10^-3 M?
Using the equation pH = -log[H3O+], we plug in the concentration [H3O+] = 3 x 10^-3 M to get pH = -log(3 x 10^-3) ≈ 2.52. Therefore, the pH of the solution is approximately 2.52.
4. What is the pH of a solution with a [H3O+] concentration of 1 x 10^-12 M?
Applying the equation pH = -log[H3O+], we substitute [H3O+] = 1 x 10^-12 M to get pH = -log(1 x 10^-12) = 12. Therefore, the pH of the solution is 12.
5. What is the [H3O+] concentration of a solution whose pH is 8.9?
We can use the equation [H3O+] = 10^(-pH). Substituting pH = 8.9, we find [H3O+] = 10^(-8.9) ≈ 1.26 x 10^-9. Therefore, the [H3O+] concentration of the solution is approximately 1.26 x 10^-9 M.
Remember to use these equations to convert between pH values and [H3O+] concentrations!