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
Total tried: Correct: Wrong:
42.5 mL of a 29.5 % solution is diluted to make the final volume of 308.5 mL. Calculate the new concentration.
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lb equals 4.06 % 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 = `42.5\quadmL`.
`C_1` = initial concentration = `29.5\quad%`
`Q_2` = final quantity = `308.5\quad mL`.
`C_2` = final concentration = `?\quad %`
Therefore, rearranging the formula, we get:
`C_2 = (Q_1 × C_1)/(Q_2)`
`therefore C_2 = (42.5 × 29.5) /308.5=4.06\quad %` (Ans.).