### 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

Total tried:       Correct:       Wrong:

What concentration of a 22.5 mL solution do you need to make 56.5 mL of a 14.24% solution? Click on the button below to see the answer and explanations

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lb equals 35.75 % 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 = 22.5\quadmL.
C_1 = initial concentration = ?\quad%
Q_2 = final quantity = 56.5\quad mL.
C_2 = final concentration = 14.24\quad %

Therefore, rearranging the formula, we get:
C_1 = (Q_2 × C_2)/(Q_1)

therefore C_1 = (56.5 × 14.24) /22.5=35.75\quad% (Ans.).

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