Question

quiz unit 2 - ratio, proportions, percents unit conversion
21 of 23
this question: 1 point(s) possible
a dosage of 0.8 g of an epilepsy treatment medication is ordered to be given through a nasogastric tube. the medication is available as 42 mg per 6 ml. complete parts a through c.
recall that 1000 mg = 1 g
a) what is the dosage in mg?
□ mg (type an integer or a decimal.)
b) what is the concentration in mg per ml?
□ mg/ml (type an integer or a decimal.)
c) how many ml should be administered?
□ ml (type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Convert grams to milligrams

Since $1000\ mg = 1\ g$, for a $0.8\ g$ dosage, we multiply by 1000. So $0.8\times1000 = 800\ mg$.

Step2: Calculate concentration

The medication is $42\ mg$ per $6\ mL$. To find the concentration in $mg/mL$, we divide the amount of medication in mg by the volume in mL. So $\frac{42}{6}=7\ mg/mL$.

Step3: Calculate volume to administer

We know the dosage needed is $800\ mg$ and the concentration is $7\ mg/mL$. Using the formula $V=\frac{D}{C}$ (where $V$ is volume, $D$ is dosage, and $C$ is concentration), we have $V = \frac{800}{7}\approx114.29\ mL$.

Answer:

a) 800
b) 7
c) 114.29