Question

An IV of 600 mL infused in 820 minutes. The IV infused at ______ mL/hr. Round your final answer to 2 decimal places if necessary.

Answer 1

The given values in the question are

`\begin{gathered} Volume=600ml \\ time=820\text{ minutes} \end{gathered}`

Step 1:

Convert the time from minutes to hours

`\begin{gathered} 60\text{ minutes = 1hour} \\ 820\text{ minutes = x hours} \\ cross\text{ multiply, we will have} \\ 60* x=820*1 \\ (60x)/(60)=(820)/(60) \\ x=(41)/(3)hrs \end{gathered}`

Step 2:

Calculate the rate at which the IV is use in ml/hr using the formula below

`rate((ml)/(hr))=(volume(ml))/(time(hr))`

By substituting the values, we will have

`\begin{gathered} rate((ml)/(hr))=(volume(ml))/(t\imaginaryI me(hr)) \\ rate((ml)/(hr))=(600ml)/((41)/(3)hrs) \\ rate((ml)/(hr))=600ml/(41)/(3)hrs \\ rate((ml)/(hr))=600ml*(3)/(41) \\ rate((ml)/(hr))=(1800ml)/(41hrs) \\ rate((ml)/(hr))=43.90\text{ }(ml)/(hr) \end{gathered}`

Hence,

The final answer = 43.90 ml/hr