Ordered amount is 3 mg of ondansetron and on hand amount is 4 mg/2mL. What amount should be given?

A) 1 mL
B) 2 mL
C) 1.5 mL
D) 3 mL

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Answer:

Option C, 1.5 mL

Explanation:

In order to determine the dosage volume of antiemetic medication ondansetron (brand name Zofran) to be administered, we will use the following formula:

dose = dosage strength x ordered amount

The dosage strength is the concentration that is provided or on-hand, usually represented by a fraction known as a conversion factor. In this case, this is 4 mg/2 mL, meaning for every 2 milliliters (mL) of volume, there are 4 milligrams (mg) of medication. This can be simplified to 2 mg/1 mL using basic division.

The ordered amount is the written prescription of the medication as determined by a provider or a pharmacist. In this, this amount is 3 mg.

3 mg x (1 mL / 2 mg) = (3 mg x 1 mL) / 2 mg = 3 mg mL / 2 mg

Milligrams in both numerator and denominator will cancel each other out like if we had the same variable at both the top and bottom of a fraction. This leaves us with:

3 mL / 2 = 1.5 mL

The patient should be give 1.5 milliliters (1.5 mL) of ondansetron, option C.

Final answer:

Option C, to administer the correct 3 mg dose of ondansetron when the available concentration is 4 mg/2mL, the nurse should give 1.5 mL of the medication.

Explanation:

The question relates to medication dosing calculations which is a common task in the field of nursing and pharmacy, particularly in a clinical setting. In this scenario, an ordered amount of 3 mg of ondansetron is prescribed, and the on hand amount available is 4 mg in 2 mL. To determine the correct dose to administer, one must use the following calculation:

Amount on hand: 4 mg
Volume on hand: 2 mL
Ordered amount: 3 mg

Use the formula:

(Ordered amount / Amount on hand) x Volume on hand = Volume to administer

So we have:

(3 mg / 4 mg) x 2 mL = 1.5 mL

The nurse should administer 1.5 mL to deliver the ordered dose of ondansetron.