Question 66

The concentration of the antibiotic in the vial is 333.33 mg/mL.

To find the concentration in mg/mL, divide the total amount of the antibiotic (1 g or 1000 mg) by the volume of the solution (3 mL). This results in a concentration of approximately 333.33 mg/mL.

A) 300

This option is incorrect because it suggests that the concentration of the antibiotic is 300 mg/mL. To arrive at this figure, one would have to miscalculate the total amount of antibiotic or the volume, which does not align with the given values.

B) 333.33

This is the correct option. Dividing 1000 mg by 3 mL gives a concentration of 333.33 mg/mL, accurately reflecting the amount of antibiotic per milliliter of solution.

C) 600

This option is incorrect as it implies a concentration of 600 mg/mL. This could result from misunderstanding the relationship between total mass and volume, as it does not correctly represent the calculated concentration based on the provided values.

D) 666.66

This option is incorrect because it suggests a concentration of 666.66 mg/mL. This figure does not correspond to any straightforward calculation using the provided total antibiotic content and volume, indicating a significant error in the computation.

Conclusion

The correct answer, 333.33 mg/mL, accurately reflects the concentration derived from the data provided. Other options either miscalculate or misunderstand the relationship between the mass and volume, leading to incorrect interpretations of the antibiotic concentration.