1 IV Math Practice 1. The physician’s order reads, “Infuse 600 U of heparin every hour.” The pharmacy prepares a solution of 250ml of D5W containing 12,000 U of heparin. This solution will infuse how many milliliters per hour? (pg 34) A. B. C. D. 12.5 ml/hour 30 ml/hour 50 ml hour 100 ml/hour 2. The physician’s order reads, “Add 50 mg of ranitidine to 100 ml of D5W and infuse at 2.5 mg/minute.” If the drop factor is 10gtt=1ml, the nurse should set the flow rate at? (pg 51) A. B. C. D. 25 50 73 99 gtt/min gtt/min gtt/min gtt/min 3. The nurse prepares to administer 1,500 mg of tetracycline that has been added to 1,000 ml of 0.9 saline solution to infuse at 60mg/hr. If the drop factor is 20 gtt = 1 ml, the flow rate should be set at? (pg 54) A. B. C. D. 7 gtt/min 9 gtt/min 10 gtt/min 13 gtt/min 4. The nurse prepares to administer 1,000 mg of the cephalosporin cefotaxime (claforan), which has been added to 250 ml of lactated ringers solution, at an infusion rate of 250mg/hr. If the tubing is calibrated at 15 gtt-1ml, what is the correct flow rate? (pg 60) A. B. C. D. 4 gtt/min 8 gtt/min 16 gtt/min 100 gtt/min 2 5. The nurse adds 120 mg of morphine sulfate, as ordered, to 500 ml of D5W to be infused at a rate of 0.3mg/min. What will be the flow rate for this narcotic if the tubing is labeled as 10 gtt = 1 ml. (pg 69) A. B. C. D. 8 gtt/min 10 gtt/min 13 gtt/min 22 gtt/min 6. If 500 ml of normal saline solution must be infused in 2 hours and the IV tubing has a drop factor of 10 gtt=ml. What is the flow rate for this intravascular expander? (pg 11) A. B. C. D. 1 gtt/min 15 gtt/min 27 gtt/min 42 gtt/min 7. The nurse begins an infusion of 500 ml of D%W with Penicillin G, with instructions to infuse at a rate of 20 gtt/min. The drop factor is 10 gtt/ml. How many milliliters of Penicillin G solution is this patient receiving every minute? (pg 26) A. B. C. D. 2 ml/min 4 ml/min 7 ml/min 10 ml/min 3 Answers: 1. 12.5 ml/hour 600U X 250 ml = 250 = 12.5/hour 1hr 12,000U 20hr second set up 12,000U : 250ml :: 600 U : Xml 12,000=250X600 x= 150,000 12,000 x=12.5 ml/hour 2. 50 gtt/minute 2.5mg X 100ml X 10ml 1 min 50 mg 1 ml X=50 gtt/min second set up Milliliters to drops: 1ml : 10 gtt :: 100 ml : X gtt x= 10 X 100 x = 1,000 gtt Calculate required minutes. 25 g : 1 min :: 50 mg : x min 2.5 x = 50 x = 50 X 2.5 x = 20 minutes Calculate the flow rate. 20 min : 1,000 gtt :: 1 min : x gtt 20 X = 1,000 X = 1,000 20 X = 50 gtt.min 4 3. 13.3 gtt/min 60 mg x 1,000ml x 20 gtt = 40 gtt 60 min 1,500mg 1ml 3 min = 13.3 or 13gtt/min second set up Milliliters to drops 1ml: 20 gtt :: 1,000 ml : x gtt x = 20 x 1,000 x = 20,000 gtt Minutes 60 mg: 60 min:: 1,500mg : x min X = 1,500 min Flow Rate 1,500 min : 20,000 gtt :: 1 min X gtt 1,500X = 20,000 X = 20,000 1,500 X = 13.3 or 13 gtt/minute 4. 15.6 or 16 gtt/minute 250mg x 250ml x 15gtt = 250gtt 60 min 1,000mg 1 ml 16 min second set up Milliliters to drops 1ml : 15 gtt:: 250 ml : x gtt x = 15 x 250 x = 3,750 gtt = 15.6 or 16 gtt/min 5 Required minutes 250 mg : 60 min :: 1,000 mg : x min 250 X = 60 x 1,000 x= 60,000 250 x = 240 minutes Flow rate 240 min : 3,750 :: 1 min : x gtt 240 x = 3,750 x = 3,750 240 x = 15.6 or 16 gtt/minute 5. 12.5 / 13 gtt/min 0.3mg x 500ml x 10 gtt = 150gtt = 12.5 or 13 gtt min 1 min 120 mg 1 ml 12 min second set up Milliliters to drops 1 ml: 10 gtt :: 500 ml : x gtt x = 10 X500 x = 5,000 gtt Required minutes 0.3 mg : 1 min :: 120 mg : x min 0.3 x = 120 x = 120 0.3 x = 400 min Flow rate 400 min : 5,000 gtt :: 1 min : x gtt 400 X = 5,000 x= 5,000 400 6 12.5 or 13 gtt/min 6. 41.6 or 42 gtt/minute 500ml x 10 gtt x 1 hr = 500 gtt = 41.6 or 42 gtt/min 2 hr 1 ml 60 min 12 min Milliliters to drops 1ml : 10 gtts :: 500 ml : x gtt x – 10 x 500 x = 5,000 gtt Hours to minutes 1 hr : 60 min :: 2 hr : x min x = 60 x 2 x = 120 minutes Flow rate 120 min : 5,000 gtt :: 1 min : xgtt 120x = 5,000 x = 5,000 250 x = 41.6 or 42 gtt/min 7. 2ml/min 20gtt x 1ml 1 min 10gtt = 2ml/minute 10 gtt : 1 ml :: 20 gtt : x ml x = 20 10 x = 2ml/min 7