Question

Benji, a 12 kg Border terrier, requires daily injections of ampicillin 15% for 3 days. The dose rate is 7.5

mg/kg. How many mL per injection does Benji require? i just need to know how to set the problem up, using dimensional analysis.

Answer 1

Hello!

The answer is:

Benji requires 90mL per injection.

Why?

From the statement we know that dog's weight is 12 kg, and daily injections are required for 3 days, the dose rate is 7.5 mg/kg, so we need to calculate how many mL per injection does Benji require.

We have that:

`Weight=12Kg\\\\Dose=7.5(mL)/(Kg)`

If the dose rate is 7.5 mL per each Kg, how many mL are required for 12 Kg? We can set it up using the following relation:

`7.5mL=1Kg\\x=12Kg\\\\x=(7.5mL*12Kg)/(1Kg)=(90mL.Kg)/(1Kg)=90mL`

Hence, we have that there are needed 90 mL per injection.

Have a nice day!