Question

A nurse receives a prescription to administer 200 mcg of hydromorphone to a client. The hydromorphone is supplied in a 1 mg/ml vial. How many milliliters will the nurse administer to the client?

0.5

2

0.2

2.5

Answer 1

The nurse will administer 0.2 milliliters of hydromorphone to the client, by converting 200 mcg to mg and using the concentration of the vial, which is 1 mg/ml.

Step-by-step explanation:

The student's question deals with the conversion from micrograms to milligrams, and then to milliliters, to administer the correct dosage of medication.

To convert 200 micrograms (mcg) to milligrams (mg), we need to know that 1 mg is equal to 1000 mcg:

200 mcg × (1 mg / 1000 mcg) = 0.2 mg

Since the medication is available in a concentration of 1 mg/ml, we can administer the dosage using this conversion:

0.2 mg × (1 ml / 1 mg) = 0.2 ml

Therefore, the nurse will administer 0.2 milliliters of hydromorphone to the client.