Calculate the pH of each of the following solutions of a strong acid in water. a. 0.10\(M \mathrm{HCl}\) b. 5.0\(M \mathrm{HClO}_{4}\) c. \(1.0 \times 10^{-11} \mathrm{MHI}\)

Short Answer

Expert verified
The pH values for the strong acid solutions are: a. pH = 1, b. pH ≈ -0.70, and c. pH = 11.

Step by step solution

01

Determine the concentration of H+ ions

As the given solutions are strong acids, they will completely dissociate in water, and the concentration of H+ ions will be equal to the concentration of the strong acid. So, we have: a. [H+] = 0.10 M b. [H+] = 5.0 M c. [H+] = 1.0 x 10^-11 M
02

Calculate the pH of each solution

We can now calculate the pH of each solution using the formula pH = -log[H+]: a. pH = -log(0.10) b. pH = -log(5.0) c. pH = -log(1.0 x 10^-11)
03

Evaluate the logarithm of each solution and find the pH

Now, we just need to find the pH value for each case by evaluating the logarithm: a. pH = -log(0.10) = 1 b. pH = -log(5.0) ≈ -0.70 c. pH = -log(1.0 x 10^-11) = 11
04

Final Answer

The pH values for each strong acid solution are: a. 1 b. -0.70 c. 11

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