If a client weighs 50 kg, how many micrograms will they receive in one hour at a rate of 4 mcg/kg/min?

To determine the correct amount of medication the client will receive, you first need to calculate the total dosage based on the client's weight and the rate of administration.

The rate of administration given is 4 micrograms (mcg) per kilogram (kg) per minute. For a client weighing 50 kg, the dosage per minute can be calculated by multiplying the weight by the rate:

4 mcg/kg/min × 50 kg = 200 mcg/min

Next, to find out how much medication is administered in one hour (which is 60 minutes), you multiply the dosage per minute by the number of minutes in an hour:

200 mcg/min × 60 min = 12000 mcg

Thus, the client will receive a total of 12000 micrograms in one hour at the specified rate, which confirms that option B is indeed the correct amount to be administered.