Final answer:
To deliver a medication rate of 1.5G/hr with a concentration of 20g/500ml, the patient should receive 37.5 ml/hr of the medication.
Step-by-step explanation:
To calculate how many milliliters per hour (ml/hr) should be administered to a patient given a medication rate of 1.5 grams per hour (1.5G/hr) and a concentration of the medication as 20 grams per 500 milliliters (20g/500ml), we can use a proportion. The steps to solve this are:
- First, determine the amount of medication in milligrams per milliliter (mg/ml).
- Next, based on the prescribed medication rate, calculate the required volume to administer per hour.
Using the concentration, we know that 20g (equivalent to 20,000mg) is present in 500ml. Therefore, the concentration is 20,000 mg/500 ml = 40 mg/ml. The patient needs 1.5g/hr (equivalent to 1500mg/hr).
To find the volume (V) needed per hour, we set up a proportion using the concentration:
40 mg/1 ml = 1500 mg/V
Solving for V gives us:
V = 1500 mg / (40 mg/ml) = 37.5 ml/hr
Thus, the patient should receive 37.5 ml/hr of the medication.