Question

GenAlex Medical, a leading manufacturer of medical laboratory equipment, is designing a new automated system that can detect therapeutic levels of dissolved acetaminophen (10. to 30./μgmL), using a blood sample that is as small as 2.0mL. Calculate the minimum mass in milligrams of acetaminophen that the new system must be able to detect. Round your answer to 2 significant digits.

Answer 1

The minimum mass of acetaminophen that the new system must be able to detect is 0.02 milligrams.

Step-by-step explanation:

Range of the equipment to detect acetaminophen in blood = 10.0 to 30.0 μg/mL

Minimum amount of acetaminophen that can be detected= 10.0 μg/mL

Volume of blood sample = 2 mL

Amount of acetaminophen in 2 ml sample of blood =

`2 mL* 10.0 \mu g/mL=20.0 \mu g`

20.0 μg = 0.02 mg (1 μg = 0.001 mg)

The minimum mass of acetaminophen that the new system must be able to detect is 0.02 milligrams.