To calculate the volume of the 2.0 M aluminum sulfate solution needed to dilute to produce 275 mL of 0.60 M solution, we can use the equation for dilution:
M1V1 = M2V2
where:
M1 = initial molarity of the concentrated solution
V1 = volume of the concentrated solution to be used
M2 = final molarity of the diluted solution
V2 = final volume of the diluted solution
Plugging in the given values:
M1 = 2.0 M
V1 = volume to be calculated (in mL)
M2 = 0.60 M
V2 = 275 mL
Solving for V1:
2.0 M * V1 = 0.60 M * 275 mL
V1 = (0.60 M * 275 mL) / 2.0 M
V1 = 82.125 mL
So, approximately 82.125 mL of the 2.0 M aluminum sulfate solution should be diluted to produce 275 mL of 0.60 M solution.