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 35.25% solution do you need to make 144.5 mL of a 6.83% solution?. Round to the nearest tenth.
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lb equals 28 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 = `35.25%`
`Q_2` = final quantity = `144.5\quad mL`.
`C_2` = final concentration = `6.83\quad %`
Therefore, by rearranging the formula, we get:
`Q_1 = (Q_2×C_2)/(C_1)` `therefore Q_1 = (144.5 × 6.83) /35.25=28\quadmL` in nearest tenth (Ans.).