Final answer:
The pH of the hydrochloric acid solution is 1.10. Hydrochloric acid dissociates completely in water, so the pH is the negative logarithm of the H+ ion concentration.
Step-by-step explanation:
The pH of a solution can be calculated using the formula pH = -log[H+], where [H+] represents the concentration of hydrogen ions in the solution. To calculate the concentration of hydrogen ions, we need to convert the mass of hydrochloric acid to moles and then divide by the volume of the solution.
Given that 831 mg of hydrochloric acid is dissolved in 290 mL of solution, we first need to convert the mass to grams: 831 mg = 0.831 g. Next, we convert grams to moles using the molar mass of hydrochloric acid: 0.831 g / 36.461 g/mol = 0.0228 mol.
Finally, we divide the number of moles by the volume of the solution in liters: 0.0228 mol / 0.29 L = 0.079 M. Therefore, the concentration of hydrogen ions in the solution is 0.079 M, and the pH can be calculated as pH = -log(0.079) = 1.10.