Answer:
115.2ml of water should be added.
Step-by-step explanation:
We start with 46.2ml of 1.396M sugar solution;
We want to end up with a 0.56M sugar solution;
Finding the number of moles in the sugar solution to begin with:
moles of sugar in solution initially = 46.2 × 1.396 = 64.4952
Vd = volume of desired solution (i.e. 0.56M solution)
w = volume of water added
Vd = (46.2 + w)
Using the mol = vol' × conc'n equation:
64.4952 = Vd × 0.56
Vd = 64.4952/0.56
Vd = 115.17
46.2 + w = 115.17
w = 115.17 - 46.2
w = 68.97ml