Dilution Problem - Find Initial Quantity
9. Altering Product Strength 9.1) Dilution 9.1.1) Dilution
9.1.1.1) Find initial concentration in dilution Easy 1
Total tried: Correct: Wrong:
What quantity of a 24.5% solution do you need to make 213.5 mL of a 2.35% solution?. Round to the nearest tenth.
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lb equals 20.5 mL kg
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This is a volume expansion or concentration dilution type problem. The essential formula is `Q_1C_1 = Q_2C_2`.
Here,
`Q_1` = initial quantity = `?\quadmL`.
`C_1` = initial concentration = `24.5%`
`Q_2` = final quantity = `213.5\quad mL`.
`C_2` = final concentration = `2.35\quad %`
Therefore, by rearranging the formula, we get:
`Q_1 = (Q_2×C_2)/(C_1)` `therefore Q_1 = (213.5 × 2.35) /24.5=20.5\quadmL` in nearest tenth (Ans.).