Question 66

The concentration of the antibiotic is 333.33 mg/mL.

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

A) 300

This option is incorrect because it underestimates the concentration. Dividing 1000 mg by 3 mL yields a concentration of approximately 333.33 mg/mL, not 300 mg/mL.

B) 333.33

This option is correct. The calculation shows that 1 g of antibiotic in 3 mL corresponds to a concentration of 333.33 mg/mL, which is derived from dividing 1000 mg by 3 mL.

C) 600

This choice is incorrect as it suggests a much higher concentration than what is calculated. The correct division of 1000 mg by 3 mL does not result in 600 mg/mL, indicating a misunderstanding of the concentration calculation.

D) 666.66

This option is also incorrect. A concentration of 666.66 mg/mL would imply that the amount of antibiotic is significantly higher than what is present in the 3 mL solution, which is not the case here.

Conclusion

The correct concentration of the antibiotic is 333.33 mg/mL, as determined by proper calculation. All other options either misrepresent the calculations or fail to align with the actual amount of antibiotic in the given volume, confirming that B is the only accurate answer.