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 220 ml of solvent is added into 16.5 mL of a 36.75 % solution, then calculate the new concentration.
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lb equals 2.56 % 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 = `16.5\quadmL`.
`C_1` = initial concentration = `36.75\quad%`
`Q_2` = final quantity = `16.5\quad mL+220\quadmL=236.5\quad mL`.
`C_2` = final concentration = `?\quad %`
Therefore, rearranging the formula, we get:
`C_2 = (Q_1 × C_1)/(Q_2)` `therefore C_2 = (16.5 × 36.75) /236.5=2.56\quad %` (Ans.).