Answer :
The pH of the solution resulting from the reaction between barium hydroxide and hydrochloric acid is approximately 1.50.
To calculate the pH of the solution resulting from the reaction between barium hydroxide (Ba(OH)₂) and hydrochloric acid (HCl), we need to determine the concentration of the resulting ions and their contribution to the solution's pH.
Given:
Volume of barium hydroxide (Ba(OH)₂) solution = 38.6 ml
Concentration of barium hydroxide (Ba(OH)₂) solution = 0.100 M
Volume of hydrochloric acid (HCl) solution = 207.1 ml
Concentration of hydrochloric acid (HCl) solution = 0.200 M
The reaction between barium hydroxide and hydrochloric acid can be represented as follows:
Ba(OH)₂ + 2HCl → BaCl₂ + 2H₂O
From the balanced equation, we can see that the reaction results in the formation of barium chloride (BaCl₂) and water (H₂O). Since the reaction goes to completion, all of the barium hydroxide will react with the hydrochloric acid.
First, we can calculate the moles of barium hydroxide and hydrochloric acid used in the reaction:
Moles of Ba(OH)₂ = volume (in liters) × concentration = 0.0386 L × 0.100 M = 0.00386 mol
Moles of HCl = volume (in liters) × concentration = 0.2071 L × 0.200 M = 0.04142 mol
Since barium hydroxide and hydrochloric acid react in a 1:2 ratio, we can determine that 0.00386 mol of barium hydroxide reacts with twice that amount of hydrochloric acid, resulting in 0.00772 mol of hydrochloric acid being consumed in the reaction.
Now, we need to calculate the concentration of hydrochloric acid ions (H⁺) in the resulting solution. The volume of the resulting solution will be the sum of the volumes of barium hydroxide and hydrochloric acid:
Volume of resulting solution = volume of Ba(OH)₂ + volume of HCl = 38.6 ml + 207.1 ml = 245.7 ml = 0.2457 L
To calculate the concentration of H⁺ ions in the resulting solution:
Concentration of H⁺ = moles of H⁺ / volume of resulting solution = 0.00772 mol / 0.2457 L ≈ 0.0314 M
Finally, we can calculate the pH of the solution using the equation:
pH = -log[H⁺] = -log(0.0314) ≈ 1.50
Therefore, The pH of the solution resulting from the reaction between barium hydroxide and hydrochloric acid is approximately 1.50.
Learn more about reaction here:
https://brainly.com/question/11231920
#SPJ11
