What is the final percentage strength of a drug if 500 mL of a 20% (v/v) solution is diluted to 1500 mL?

Rationale

Final percentage strength is 6.67%.

To find the final percentage strength after dilution, we can use the formula: ( C_1V_1 = C_2V_2), where ( C_1 ) and ( V_1 ) represent the initial concentration and volume, and ( C_2 ) and ( V_2 ) represent the final concentration and volume.

A (1.77%) YOUR ANSWER

This percentage does not match the correct calculation after the dilution process. The final concentration is higher due to the dilution of the initial solution.

B (3.23%) YOUR ANSWER

This percentage does not align with the correct calculation after the dilution process. The final concentration is higher than what is indicated by this choice.

C (6.67%) CORRECT

Correct! After diluting 500 mL of a 20% solution to 1500 mL, the final concentration becomes 6.67%. This is calculated by multiplying the initial concentration by the initial volume and then dividing by the final volume.

D (8.95%) YOUR ANSWER

This percentage does not represent the final strength after the dilution process. The correct answer is lower than this value due to the dilution with a larger volume of solvent.

Conclusion

In this scenario of diluting a 20% solution from 500 mL to 1500 mL, the final percentage strength of the drug is 6.67%. This calculation involves understanding the principles of dilution and applying the formula to determine the new concentration based on the initial solution and the volume added.

What is the final percentage strength of a drug if 500 mL of a 20% (v/v) solution is diluted to 1500 mL?

Final percentage strength is 6.67%.

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