Final answer:
To calculate the correct IV pump flow rate, we use a ratio and proportion based on the total amount of magnesium sulfate in the available solution and the desired hourly dose.
Step-by-step explanation:
The question involves the application of ratio and proportion to determine the IV pump flow rate for administering a medication. The nurse needs to set the IV pump to deliver 1.5 g of magnesium sulfate per hour, using a solution of magnesium sulfate 20 g in 500 ml dextrose 5% in water. To find the flow rate in ml/hr, we use the equation:
Total magnesium sulfate (g) / Total volume (ml) = Desired magnesium sulfate (g/hr) / x (ml/hr)
Plugging in the values we get:
20 g / 500 ml = 1.5 g / x ml
20 g * x ml = 1.5 g * 500 ml
x = (1.5 g * 500 ml) / 20 g
x = 750 ml / 20
x = 37.5 ml/hr
Since this option is not available in the multiple choice answers provided, it seems there may be a discrepancy either in the question or the answer choices. However, the correct method to solve the problem has been demonstrated.
The result in this case is 37.5 ml/hr, although this does not match the provided multiple-choice options.