What is the final volume V2 in milliliters when 0.646 L of a 30.5 % (m/v) solution is diluted to 23.5 % (m/v)? Express your answer with the appropriate units.
Let us assume the molar mass of solute be Y.
Converting the % (m/v) to Molarity:
30.5%(m/v) solution means 30.5 g of solute in 100 ml of solution.
Molarity = (mass of solute / molar mass of solute) / Volume of solution in litres
M1 = (30.5/Y)/0.1 = (3.05/Y) M
23.5%(m/v) solution means 23.5 g of solute in 100 ml of solution.
M2 = (23.5/Y)/0.1 = (2.35/Y) M
Applying law of dilution,
M1 V1 = M2 V2
(3.05/Y) 0.646 = (2.35/Y) V2
V2 = 3.05 0.646 /2.35 = 0.8384 L = 838.4 mL
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