Molarity, a fundamental concept in chemistry, measures the concentration of a solution. It is defined as the number of moles of solute per liter of solution. In this problem, we begin by finding the molarity of hydronium ions ( \(\mathrm{H}_3\mathrm{O}^+\)), formed from the full dissociation of nitric acid (HNO鈧).
We know that when HCl reacts with AgNO鈧, it forms AgCl and HNO鈧, with all HCl being converted to HNO鈧. Since the initial concentration of HCl is 0.005 moles in 50 mL, we convert the total volume to liters (100 mL = 0.100 L) for calculation of the final molarity:
- Moles of \(\mathrm{H}_3\mathrm{O}^+\) = 0.005 moles (from complete dissociation of HNO鈧)
- Total volume = 0.100 L
- Molarity = \(\frac{0.005}{0.100} = 0.050 \mathrm{M}\)
This demonstrates the direct relationship between molarity, moles, and volume, reflecting how concentrated the hydronium ions are in the final solution.