Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 4 you receive an order for ampicillin 320 mg intravenously eve…

Question

question 4
you receive an order for ampicillin 320 mg intravenously every six hours for a patient who weighs 12.7 kg. what is the ordered dose in mg/kg/day?
select one:
○ a. 50 mg/kg/day
○ b. 100 mg/kg/day
○ c. 150 mg/kg/day
○ d. 200 mg/kg/day
question 5
an order is sent to the pharmacy for 10 mg of gentamicin for a 4 kg infant. the stock solution of gentamicin is 40 mg/ml. what volume of this stock solution will provide the ordered dose?
select one:
○ a. 0.1 ml
○ b. 0.25 ml
○ c. 1.5 ml
○ d. 3 ml

Explanation:

Response
Question 4

Step1: Calculate daily dose

The patient gets 320 mg every 6 hours. In a day (24 hours), the number of doses is $\frac{24}{6} = 4$. So daily dose is $320 \times 4 = 1280$ mg.

Step2: Calculate mg/kg/day

Patient's weight is 12.7 kg. So dose per kg per day is $\frac{1280}{12.7} \approx 100$ mg/kg/day.

Step1: Use concentration formula

Concentration formula: $Volume = \frac{Dose}{Concentration}$. Dose is 10 mg, concentration is 40 mg/mL.

Step2: Calculate volume

$Volume = \frac{10}{40} = 0.25$ mL.

Answer:

b. 100 mg/kg/day

Question 5