Dilution Problem - Find final concentration after adding known amount of solvent

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 163 ml of solvent is added into 31 mL of a 27 % solution, then calculate the new concentration.


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lb equals 4.31 % 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 = `31\quadmL`.
    `C_1` = initial concentration = `27\quad%`
    `Q_2` = final quantity = `31\quad mL+163\quadmL=194\quad mL`.
    `C_2` = final concentration = `?\quad %`

    Therefore, rearranging the formula, we get:
    `C_2 = (Q_1 × C_1)/(Q_2)` `therefore C_2 = (31 × 27) /194=4.31\quad %` (Ans.).