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 282 ml of solvent is added into 32 mL of a 29.25 % solution, then calculate the new concentration.
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lb equals 2.98 % 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 = `32\quadmL`.
`C_1` = initial concentration = `29.25\quad%`
`Q_2` = final quantity = `32\quad mL+282\quadmL=314\quad mL`.
`C_2` = final concentration = `?\quad %`
Therefore, rearranging the formula, we get:
`C_2 = (Q_1 × C_1)/(Q_2)` `therefore C_2 = (32 × 29.25) /314=2.98\quad %` (Ans.).