Dilution Problem - Find Final Concentration

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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35.5 mL of a 29.75 % solution is diluted to make the final volume of 320.5 mL. Calculate the new concentration.


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lb equals 3.3 % 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 = `35.5\quadmL`.
    `C_1` = initial concentration = `29.75\quad%`
    `Q_2` = final quantity = `320.5\quad mL`.
    `C_2` = final concentration = `?\quad %`

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

    `therefore C_2 = (35.5 × 29.75) /320.5=3.3\quad %` (Ans.).