Final answer:
To calculate the volume of the aluminum chloride solution, follow these steps: Calculate the number of moles of aluminum chloride. Use the given molarity and moles to calculate the volume in liters. Convert the volume from liters to millimeters.
Step-by-step explanation:
To calculate the volume of the aluminum chloride solution, we can use the formula:
- Calculate the number of moles of aluminum chloride using the given mass of the compound and its molar mass.
- Use the given molarity and the number of moles of aluminum chloride to calculate the volume of the solution in liters.
- Convert the volume from liters to millimeters by multiplying by 1000.
In this case, we have 75.0 g of aluminum chloride, which has a molar mass of 133.34 g/mol. So, the number of moles of aluminum chloride is:
0.881 mol/L * 75.0 g / 133.34 g/mol = 0.494 mol
Next, we can use the molarity and number of moles to calculate the volume:
Volume = moles / molarity = 0.494 mol / 0.881 mol/L = 0.56 L
Finally, we can convert the volume from liters to millimeters:
Volume = 0.56 L * 1000 mL/L = 560 mL