Understanding the Relationship
* pH and [H+]: pH is a measure of the hydrogen ion concentration ([H+]) in a solution. The relationship is:
pH = -log[H+]
* HCl is a strong acid: This means it completely dissociates in water, meaning that every HCl molecule produces one H+ ion.
Calculations
1. Find the [H+]:
* Rearrange the pH equation: [H+] = 10^(-pH)
* Substitute the given pH: [H+] = 10^(-5.7) = 2.0 x 10^(-6) M
2. Molarity of HCl: Since HCl dissociates completely, the molarity of HCl is equal to the [H+]:
* Molarity of HCl = 2.0 x 10^(-6) M
Therefore, the molarity of the HCl solution with a pH of 5.7 is 2.0 x 10^(-6) M.