Dilution Problem - Find Final Quantity

9. Altering Product Strength 9.1) Dilution 9.1.1) Dilution

9.1.1.1) Find initial concentration in dilution Easy 1


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If 36.5 mL of a 23.25 % solution is diluted to a concentration of 3.43 %, then what will be its final volume?


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lb equals 247.5 mL kg

    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 = `36.5\quadmL`.
    `C_1` = initial concentration = `23.25\quad%`
    `Q_2` = final quantity = `?\quad mL`.
    `C_2` = final concentration = `3.43\quad %`

    Therefore, rearranging the formula, we get:
    `Q_2 = (Q_1 × C_1)/(C_2)`

    `therefore Q_2 = (36.5 × 23.25) /3.43=247.5\quad mL` (Ans.).