Dilution Problem - Find Final Quantity
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:
If 27.5 mL of a 26.75 % solution is diluted to a concentration of 10.43 %, then what will be its final volume?
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lb equals 70.5 mL 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 = `27.5\quadmL`.
`C_1` = initial concentration = `26.75\quad%`
`Q_2` = final quantity = `?\quad mL`.
`C_2` = final concentration = `10.43\quad %`
Therefore, rearranging the formula, we get:
`Q_2 = (Q_1 × C_1)/(C_2)`
`therefore Q_2 = (27.5 × 26.75) /10.43=70.5\quad mL` (Ans.).