81. A vial of antibiotic for IM injection contains 1 g in 3 mL. What is the concentration in mg/mL?

Answer: B

Explanation:

The concentration is 333.33 mg/mL.

To find the concentration in mg/mL, you divide the total amount of the antibiotic (1000 mg) by the volume of the solution (3 mL), resulting in approximately 333.33 mg/mL.

A) 300

This option is incorrect because if you divide 1000 mg by 3 mL, the resulting concentration is not 300 mg/mL. Instead, it suggests a misunderstanding of the calculation required to determine concentration.

B) 333.33

This option is correct. When calculating concentration, dividing 1000 mg by 3 mL yields 333.33 mg/mL, which accurately reflects the concentration of the antibiotic in the solution.

C) 600

This option is incorrect as it represents a miscalculation. Dividing 1000 mg by 3 mL does not result in 600 mg/mL, indicating a fundamental error in the concentration calculation process.

D) 666.66

This option is incorrect. The concentration of 666.66 mg/mL does not derive from the 1000 mg in 3 mL, showing a clear misinterpretation of the concentration formula.

Conclusion

The correct concentration of the antibiotic is 333.33 mg/mL, as derived from dividing the total dosage by the volume of the solution. All other options fail to provide the correct calculation, demonstrating errors in the understanding of how to compute concentration in this context.