Final answer:
To find the grams of hydrochloric acid in a 500 ml, 5.000 M solution, you multiply the molarity (5.000 M) by the volume in liters (0.500 L) and the molar mass of HCl (36.46 g/mol), and the result is 91.15 grams of HCl.
Step-by-step explanation:
The question asks for the amount of hydrochloric acid (HCl) in grams contained in a 500.0 ml solution with a molarity of 5.000 M. First, we need to know the molar mass of HCl, which is approximately 36.46 g/mol. To calculate the mass of HCl, we use the formula: mass = molarity × volume in liters × molar mass. The volume in liters is 0.500 L (since 500 ml × 1 L/1000 ml = 0.500 L).
Using the formula provided, the mass of HCl in the solution can be calculated as follows:
- Mass of HCl = 5.000 mol/L × 0.500 L × 36.46 g/mol
- Mass of HCl = 91.15 grams
Therefore, the 500.0 ml solution of 5.000 M HCl contains 91.15 grams of hydrochloric acid.