Dilution Problem - Find Initial 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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What concentration of a 23.5 mL solution do you need to make 175.5 mL of a 3.28% solution?
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lb equals 24.5 % 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 = `23.5\quadmL`.
`C_1` = initial concentration = `?\quad%`
`Q_2` = final quantity = `175.5\quad mL`.
`C_2` = final concentration = `3.28\quad %`
Therefore, rearranging the formula, we get:
`C_1 = (Q_2 × C_2)/(Q_1)`
`therefore C_1 = (175.5 × 3.28) /23.5=24.5\quad%` (Ans.).