A client weighing 70 kg is receiving dopamine at 5 ml/hour from a solution of 800 mg in 500 ml. What is the rate in mcg/kg/minute?

To calculate the rate of dopamine administration in mcg/kg/minute, several steps are necessary.

First, it’s important to determine how much dopamine the client is receiving per hour. The client is receiving dopamine at a rate of 5 ml/hour from a solution that contains 800 mg of dopamine in 500 ml.

Next, we need to calculate the concentration of the solution:

• Concentration of dopamine in solution is calculated as follows:

[

\text{Concentration} = \frac{\text{Total amount of drug}}{\text{Total volume of solution}} = \frac{800 \text{ mg}}{500 \text{ ml}} = 1.6 \text{ mg/ml}

]

Now, we find out how much dopamine is being delivered per hour:

[

\text{Dopamine delivered per hour} = \text{Rate} \times \text{Concentration} = 5 \text{ ml/hour} \times 1.6 \text{ mg/ml} = 8 \text{ mg/hour}

]

Since we need to convert this amount into micrograms (mcg) for calculations:

[

8 \text{ mg} = 800