Dilution Problem - Find Initial Quantity

9. Altering Product Strength 9.1) Dilution 9.1.1) Dilution Find initial concentration in dilution Easy 1

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What quantity of a 33.25% solution do you need to make 172.5 mL of a 2.7% solution?. Round to the nearest tenth.

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lb equals 14 mL kg

    This is a volume expansion or concentration dilution type problem. The essential formula is `Q_1C_1 = Q_2C_2`.

    `Q_1` = initial quantity = `?\quadmL`.
    `C_1` = initial concentration = `33.25%`
    `Q_2` = final quantity = `172.5\quad mL`.
    `C_2` = final concentration = `2.7\quad %`

    Therefore, by rearranging the formula, we get:
    `Q_1 = (Q_2×C_2)/(C_1)` `therefore Q_1 = (172.5 × 2.7) /33.25=14\quadmL` in nearest tenth (Ans.).

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