Answer:
[tex]0.1\frac{mg}{kg*min}=100 \frac{\mu g}{kg*min}[/tex]
Step-by-step explanation:
First write the weight of the client in kg, considering that 1 pound is 0.45 kg:
[tex]w=176lb* \frac{0.45kg}{1lb}=79.83kg[/tex]
Then, transform the infusion flow to ml/min, considering that 1 hour is 60 minutes:
[tex]48ml/h*\frac{1h}{60min}=0.8ml/min[/tex]
Now it is possible to calculate the to total mass flow injected to the client per minute:
[tex]0.8\frac{ml}{min}*10\frac{mg}{ml} =8mg/min[/tex]
To find the mass flow of Brevibloc injected by unit of weight of the pacient, just divide the total mass flow by the weight of the client:
[tex]8\frac{mg}{min}*\frac{1}{79.83kg}=0.1\frac{mg}{kg*min}[/tex]
In the question is not clear, but if you need the answer in micrograms/kg/minute just multiply by 1000:
[tex]0.1\frac{mg}{kg*min}*\frac{1000\mu g}{1mg}=100 \frac{\mu g}{kg*min}[/tex]