How many mL of water should be added to 100 mL of a 1:125 (w/v) solution to make a solution such that 25 mL diluted to 100 mL will yield a 1:4000 solution?
How many mL of water should be added to 100 mL of a 1:125 (w/v) solution to make a solution such that 25 mL diluted to 100 mL will yield a 1:4000 solution?
Working backwards from the final solution to the intermediate solution (and using our old friend C1V1 = C2V2):
(25 mL)(1/x) = (100 mL)(1/4000)
x = 1000
so the concentration of the intermediate solution is 1/1000 (or 1:1000.....whatever)
And then going from the starting solution to this intermediate solution:
(100 mL)(1/125) = (x mL)(1/1000)
x = 800 mL of this intermediate solution
and since we started with 100 mL of the 1/125 solution......we need to add 700 mL to get to the 800
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