A client receiving dopamine at 5 ml/hour has a concentration of 800 mg/500 ml. How many mcg/kg/minute is the client receiving?

To determine how many mcg/kg/minute the client is receiving, we first need to calculate the total amount of dopamine being infused per hour based on the given concentration and flow rate.

1. Calculate the concentration in mg/ml:

The concentration of dopamine is 800 mg in 500 ml. We can convert this to mg/ml:

[

\text{Concentration} = \frac{800 , \text{mg}}{500 , \text{ml}} = 1.6 , \text{mg/ml}

]

2. Calculate the total dose in mg per hour:

The client is receiving dopamine at a rate of 5 ml/hour, so we multiply the flow rate by the concentration:

[

5 , \text{ml/hour} \times 1.6 , \text{mg/ml} = 8 , \text{mg/hour}

]

3. Convert mg/hour to mcg/minute:

Since we need the dose in mcg/kg/min, we convert mg to mcg (1 mg = 1000 mcg) and then convert hours to minutes (1 hour =