Final answer:
To find the drip rate in mL/hr, convert the ordered dose from mg to mcg and set up a proportion using the available concentration. The drip rate is 10 mL/hr.
Step-by-step explanation:
To determine the drip rate in mL/hr, we need to convert both the ordered dose and the available concentration to the same units. Let's start with the ordered dose of 0.03 mg over 8 hours.
Since 1 mcg = 0.001 mg, we can convert the ordered dose to mcg by multiplying it by 1000: 0.03 mg * 1000 = 30 mcg.
Now, to find the drip rate in mL/hr, we need to know the total volume of the available concentration that will deliver 30 mcg. Using the available concentration of 6 mcg/2 mL, we can set up a proportion:
(6 mcg)/(2 mL) = (30 mcg)/(x)
Cross-multiplying gives us:
6 mcg * x = 2 mL * 30 mcg
Simplifying:
6x = 60 mL
Dividing both sides by 6:
x = 10 mL/hr
So, the drip rate is 10 mL/hr.