Let's address this medical dosage problem step-by-step.
To determine the number of milliliters needed to administer 26 grams of medication, follow these steps:
1. Convert the Ordered Medication from Grams to Kilograms:
Since the medication dosage is given in grams but the available concentration is in kilograms per milliliters, we need to convert grams into kilograms.
[tex]\[
\text{Ordered medication} = 26 \, \text{grams}
\][/tex]
There are 1000 grams in one kilogram, so:
[tex]\[
\text{Ordered medication in kg} = \frac{26 \, \text{grams}}{1000} = 0.026 \, \text{kilograms}
\][/tex]
2. Determine the Concentration in Kilograms per Milliliter:
The concentration of the medication is provided as 0.006 kg per 10 mL. We need to find the concentration per 1 mL.
[tex]\[
\text{Concentration} = \frac{0.006 \, \text{kg}}{10 \, \text{mL}} = 0.0006 \, \text{kg/mL}
\][/tex]
3. Calculate the Required Volume in Milliliters:
The required volume to administer can be found by dividing the ordered medication in kilograms by the concentration in kg/mL.
[tex]\[
\text{Required volume} = \frac{\text{Ordered medication in kg}}{\text{Concentration in kg/mL}} = \frac{0.026 \, \text{kg}}{0.0006 \, \text{kg/mL}}
\][/tex]
Performing the division gives:
[tex]\[
\text{Required volume} \approx 43.333333 \, \text{mL}
\][/tex]
Thus, the nurse should administer approximately \(43.30\) milliliters of this medication. Therefore, the correct choice is:
[tex]\[
\boxed{43.30}
\][/tex]
