Question

A client who weights 176 pounds is receiving an IV infusion with esmolol hydrochloride (Brevibloc) at 48 ml/hour. The IV solution is labeled with the concentration of Brevibloc 10 mg/ml. How many mcg/kg/minute is the client receiving? (Enter numeric value only. Round to nearest whole number.) Submit

Answer 1

`0.1(mg)/(kg*min)=100  (\mu g)/(kg*min)`

Explanation:

First write the weight of the client in kg, considering that 1 pound is 0.45 kg:

`w=176lb* (0.45kg)/(1lb)=79.83kg`

Then, transform the infusion flow to ml/min, considering that 1 hour is 60 minutes:

`48ml/h*(1h)/(60min)=0.8ml/min`

Now it is possible to calculate the to total mass flow injected to the client per minute:

`0.8(ml)/(min)*10(mg)/(ml)  =8mg/min`

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:

`8(mg)/(min)*(1)/(79.83kg)=0.1(mg)/(kg*min)`

In the question is not clear, but if you need the answer in micrograms/kg/minute just multiply by 1000:

`0.1(mg)/(kg*min)*(1000\mu g)/(1mg)=100  (\mu g)/(kg*min)`