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

Rationale

The concentration in mg/mL is 333.33.

To find the concentration, we convert grams to milligrams and divide by the volume in milliliters. Since 1 g equals 1000 mg, we calculate 1000 mg divided by 3 mL, resulting in approximately 333.33 mg/mL.

A (300) YOUR ANSWER

This option suggests a concentration of 300 mg/mL, which is incorrect. The calculation involves converting grams to milligrams and dividing by the volume; thus, 1000 mg divided by 3 mL does not yield 300 mg/mL.

B (333.33) CORRECT

This is the correct choice, as it accurately represents the concentration calculated by dividing 1000 mg by 3 mL, resulting in 333.33 mg/mL.

C (600) YOUR ANSWER

A concentration of 600 mg/mL is incorrect. If we were to reach this number, it would imply a higher total mass or a smaller volume than provided, which does not align with the given quantities of 1 g in 3 mL.

D (666.66) YOUR ANSWER

This choice indicates a concentration of 666.66 mg/mL, which is also incorrect. This value would suggest an erroneous calculation or misinterpretation of the mass to volume ratio, exceeding the actual concentration derived from the provided figures.

Conclusion

The correct concentration of the antibiotic is determined to be 333.33 mg/mL, based on the conversion from grams to milligrams and the specified volume. The incorrect options stem from miscalculations or misunderstandings of the concentration formula, emphasizing the importance of precise unit conversion in such calculations.

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

The concentration in mg/mL is 333.33.

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