What is the concentration when 25.0 mL of a 2.04 M methanol solution is diluted to 500.0 mL?
A0.102 M
B40.8 M
C1.02 M
D0.0510 M
Answer & Solution
Correct answer: A. 0.102 M
1. Rearrange the dilution equation to C2 = C1V1 / V2.
2. Both volumes are in millilitres, and since they appear as a ratio the units cancel without conversion.
3. Substituting gives C2 = 2.04 M x 25.0 mL / 500.0 mL.
4. The result is 0.102 M.
5. The volume grows twenty-fold, so the concentration must fall twenty-fold, which 2.04 divided by 20 confirms.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.3 Molarity_
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