Final answer:
To calculate the molar concentration of Ba(OH)2 in the original sample, we need to use the ion product. By calculating the moles of each ion and dividing by the final volume, we can determine the molar concentration of Ba(OH)2 in the original sample.
Step-by-step explanation:
To calculate the molar concentration of Ba(OH)2 in the original sample, we need to use the ion product, Q = [Ba²+][SO4²-]. The concentration of Ba²+ when the solutions are mixed is the total number of moles of Ba²+ in the original 100 mL of BaCl₂ solution divided by the final volume (110 mL). Similarly, the concentration of SO4²- after mixing is the total number of moles of SO4²- in the original 10.0 mL of Na₂SO4 solution divided by the final volume (110 mL). By calculating the moles of each ion and dividing by the final volume, we can determine the molar concentration of Ba(OH)2 in the original sample.