Answer:
The concentration of the hydrochloric acid is 0.00047 mol/dm³.
Step-by-step explanation:
The balanced equation for the reaction is:
2 HCl(aq) + Ba(OH)2(aq) → BaCl₂(aq) + 2H₂O
We know that 25.00 cm³ of the hydrochloric acid reacted with 23.50 cm³ of the 0.100 mol/dm³ barium hydroxide solution.
Given the balanced equation, it is clear that 2 moles of hydrochloric acid react with 1 mole of barium hydroxide. As we know the volume and concentration of the barium hydroxide, we can calculate the number of moles of barium hydroxide present in the 23.50 cm³ of solution.
23.50 cm³ of 0.100 mol/dm³ barium hydroxide = (23.50 x 0.100) / 1000 = 0.00235 moles
As 2 moles of hydrochloric acid react with 1 mole of barium hydroxide, and we know the number of moles of barium hydroxide, we can calculate the number of moles of hydrochloric acid.
0.00235 moles of barium hydroxide / 2 = 0.001175 moles hydrochloric acid
We have the number of moles of hydrochloric acid, we can calculate the concentration in mol/dm³.
0.001175 moles hydrochloric acid / 25.00 cm³ = 0.00047 mol/dm³
The concentration of the hydrochloric acid is 0.00047 mol/dm³.