Final answer:
The hydroxide ion concentration in a 0.0752 M solution of quinoline can be calculated by knowing the base dissociation constant (Kb) of quinoline and using the ion-product constant of water at 25 °C, but the necessary value of Kb is not provided.
Step-by-step explanation:
To determine the hydroxide ion concentration of a 0.0752 M solution of quinoline, we need to know the Kb value of quinoline because it is a weak base. This information is not provided in the question; however, assuming we had the Kb, we would set up an equilibrium expression to solve for the concentration of hydroxide ions produced when quinoline is in solution.
If this solution is at 25 °C and we know the Kw (the ion-product constant for water) is 1.0 × 10-14 M², we could also calculate the hydronium ion concentration and use it with the expression [H3O+][OH-] = Kw to find the hydroxide ion concentration.