### Dilution Problem - Mixed category

9. Altering Product Strength 9.1) Dilution 9.1.1) Dilution

9.1.1.1) Find initial concentration in dilution Challenging 1

Total tried:       Correct:       Wrong:

Calculate the quantity of solvent you need to add into 47.5 mL of a 26.25 % solution to prepare a 9.24 % solution? Click on the button below to see the answer and explanations

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lb equals 87.5 mL kg

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 = 47.5\quadmL.
C_1 = initial concentration = 26.25\quad%
Q_2 = final quantity = ?\quad mL.
C_2 = final concentration = 9.24\quad %

Therefore, rearranging the formula, we get:
Q_2 = (Q_1 × C_1)/(C_2) therefore Q_2 = (47.5 × 26.25) /9.24=135\quad mL in nearest whole number.

Now, subtract the initial quantity of the solution (47.5\quadmL) from this final quantity (135\quadmL) to determine the amount of solvent to be added: 135\quadmL-47.5\quadmL=87.5\quadmL. (Ans)

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