Question 9.10: How many milliliters of methyl alcohol are needed to prepare...
How many milliliters of methyl alcohol are needed to prepare 75 mL of a 5.0% (v/v) solution?
ANALYSIS We are given a solution volume (75 mL) and a concentration [5.0% (v/v), meaning 5.0 mL solute/100 mL solution]. The concentration acts as a conversion factor for finding the amount of methyl alcohol needed.
BALLPARK ESTIMATE A 5% (v/v) solution contains 5 mL of solute in 100 mL of solution, so the amount of solute in 75 mL of solution must be about threefourths of 5 mL, which means between 3 and 4 mL.
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(75 \cancel{mL solution})\left(\frac{5.0 mL methyl alcohol}{100 \cancel{mL solution}} \right)= 3.8 mL methyl alcohol
BALLPARK CHECK: The calculated answer is consistent with our estimate of between 3 and 4 mL.
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