Question

a client with mycobacterium avium complex (mac) is receiving an infusion of 5 % dextrose in water (d₅w) with amikacin 0.572 grams/100 ml every 12 hours. the nurse prepares the dose of amikacin using a vial labeled, \250 mg/ml.\ how many ml should the nurse add to the infusion? (enter numeric value only. if rounding is required, round to the nearest tenth.)

Explanation:

Step1: Identify the desired dose and concentration

The desired dose of amikacin is 0.572 grams every 12 hours. First, convert grams to milligrams since the concentration is in mg/mL. We know that 1 gram = 1000 milligrams, so \(0.572\space g\times1000 = 572\space mg\). The concentration of the amikacin vial is \(250\space mg/mL\).

Step2: Use the formula for volume calculation

The formula to calculate the volume \(V\) is \(V=\frac{\text{Dose}}{\text{Concentration}}\). Substituting the values, we have \(V = \frac{572\space mg}{250\space mg/mL}\).

Step3: Perform the division

Calculating \(\frac{572}{250}=2.288\space mL\). Rounding to the nearest tenth gives \(2.3\space mL\).

Answer:

2.3