Final answer:
To prepare a 0.05 M magnesium sulfate heptahydrate solution with a volume of 200 mL, you will need 2.46 grams of magnesium sulfate heptahydrate.
Step-by-step explanation:
To calculate the amount of magnesium sulfate heptahydrate required to prepare 200 mL of 0.05 M solution, we need to use the formula:
moles = molarity x volume
First, we convert the volume from milliliters to liters:
200 mL x (1 L/1000 mL) = 0.2 L
Next, we substitute the given values into the formula:
moles = 0.05 mol/L x 0.2 L = 0.01 mol
Finally, we calculate the mass of magnesium sulfate heptahydrate using its molar mass:
moles = mass (g) / molar mass (g/mol)
0.01 mol = mass (g) / 246.48 g/mol
mass (g) = 0.01 mol x 246.48 g/mol = 2.46 g