Final answer:
To find the number of liters of a 3.67 M K2SO4 solution needed to provide 57.3 g of K2SO4, use the formula for molarity. First, find the number of moles of K2SO4. Then, rearrange the molarity formula to solve for volume.
Step-by-step explanation:
To find the number of liters of a 3.67 M K2SO4 solution needed to provide 57.3 g of K2SO4, we can use the formula for molarity:
Molarity (M) = Number of moles / Volume (in liters)
First, we need to find the number of moles of K2SO4. Using the molar mass of K2SO4 (174.01 g/mol), we can calculate:
Number of moles = mass / molar mass = 57.3 g / 174.01 g/mol.
Now, we can rearrange the molarity formula to solve for volume:
Volume (in liters) = Number of moles / Molarity = (57.3 g / 174.01 g/mol) / 3.67 M.
Calculating this expression will give us the number of liters of the K2SO4 solution needed.