# Step-by-Step Solutions --- ## 1. Nitroglycerine IV Drip: Drops Per Minute **Given:** - Volume to infuse: 500 mL - Time: 4 hours - Drip factor: 10 gtts/mL **Step 1: Convert hours to minutes** \[ 4 \text{ hours} \times 60 = 240 \text{ minutes} \] **Step 2: Calculate mL per minute** \[ \frac{500 \text{ mL}}{240 \text{ min}} = 2.083 \text{ mL/min} \] **Step 3: Calculate drops per minute (gtts/min)** \[ 2.083 \text{ mL/min} \times 10 \text{ gtts/mL} = 20.83 \text{ gtts/min} \] **Step 4: Round to nearest whole number** \[ 21 \text{ gtts/min} \] **Final Answer:** **21 gtts/min** --- ## 2. Nitroglycerin Tablet Dose Calculation **Given:** - Ordered dose: 2 grains - Available dose: 60 mg/tablet **Step 1: Convert grains to mg** - \(1 \text{ grain} = 60 \text{ mg}\) - \(2 \text{ grains} = 2 \times 60 \text{ mg} = 120 \text{ mg}\) **Step 2: Calculate number of tablets** \[ \frac{120 \text{ mg}}{60 \text{ mg/tablet}} = 2 \text{ tablets} \] **Final Answer:** **c. 2 tablets** --- ## 3. IV Fluid Drop Rate (Disaster Drill) **Given:** - Volume: 500 mL - Time: 3 hours - Drip factor: 10 gtt/mL **Step 1: Convert hours to minutes** \[ 3 \text{ hours} \times 60 = 180 \text{ minutes} \] **Step 2: Calculate mL per minute** \[ \frac{500 \text{ mL}}{180 \text{ min}} = 2.778 \text{ mL/min} \] **Step 3: Calculate drops per minute (gtts/min)** \[ 2.778 \text{ mL/min} \times 10 \text{ gtts/mL} = 27.78 \text{ gtts/min} \] **Step 4: Round to nearest whole number** \[ 28 \text{ gtts/min} \] **Final Answer:** **28 gtts/min** --- ## Summary Table | Question | Calculation | Final Answer | |----------|-------------|-----------------------| | 1 | Drip rate | **21 gtts/min** | | 2 | Tablets | **c. 2 tablets** | | 3 | Drip rate | **28 gtts/min** |

# Detailed Explanation of Solutions --- ## 1. Nitroglycerine IV Drip: Drops Per Minute ### Step-by-Step Calculation 1. **Convert Hours to Minutes** To determine how many minutes the IV drip will run, we convert hours into minutes. \[ 4 \text{ hours} \times 60 \text{ minutes/hour} = 240 \text{ minutes} \] 2. **Calculate mL Per Minute** Next, we find out how many milliliters will be infused each minute by dividing the total volume by the total time in minutes. \[ \frac{500 \text{ mL}}{240 \text{ minutes}} = 2.083 \text{ mL/min} \] 3. **Calculate Drops Per Minute** Using the drip factor provided (10 gtts/mL), we calculate the number of drops per minute. \[ 2.083 \text{ mL/min} \times 10 \text{ gtts/mL} = 20.83 \text{ gtts/min} \] 4. **Round to Whole Number** Since IV drip rates must be whole numbers, we round 20.83 to 21. **Final Answer:** **21 gtts/min** --- ## 2. Nitroglycerin Tablet Dose Calculation ### Step-by-Step Calculation 1. **Convert Grains to Milligrams** The physician ordered 2 grains of nitroglycerin. Knowing that 1 grain equals 60 mg: \[ 2 \text{ grains} = 2 \times 60 \text{ mg} = 120 \text{ mg} \] 2. **Calculate Number of Tablets** The available nitroglycerin tablets contain 60 mg each. To find out how many tablets to administer, we divide the required dose by the dose per tablet: \[ \frac{120 \text{ mg}}{60 \text{ mg/tablet}} = 2 \text{ tablets} \] **Final Answer:** **c. 2 tablets** --- ## 3. IV Fluid Drop Rate (Disaster Drill) ### Step-by-Step Calculation 1. **Convert Hours to Minutes** For the IV fluids to be infused over 3 hours, we convert this to minutes: \[ 3 \text{ hours} \times 60 \text{ minutes/hour} = 180 \text{ minutes} \] 2. **Calculate mL Per Minute** To find the infusion rate, we divide the total volume by the total time in minutes: \[ \frac{500 \text{ mL}}{180 \text{ minutes}} = 2.778 \text{ mL/min} \] 3. **Calculate Drops Per Minute** Using the drip factor (10 gtts/mL), we calculate the drops per minute: \[ 2.778 \text{ mL/min} \times 10 \text{ gtts/mL} = 27.78 \text{ gtts/min} \] 4. **Round to Whole Number** Finally, we round 27.78 to 28 drops per minute. **Final Answer:** **28 gtts/min** --- ## Summary Table | Question | Calculation | Final Answer | |----------|-------------|-----------------------| | 1 | Drip rate | **21 gtts/min** | | 2 | Tablets | **c. 2 tablets** | | 3 | Drip rate | **28 gtts/min** | This detailed breakdown outlines each calculation step and provides clarity on the processes involved in determining IV flow rates and medication dosages.

To determine the drops per minute for a nitroglycerine IV drip of 200 mg in 500 mL over 4 hours, the calculated rate is 21 gtts/min after converting the time to minutes and using the drip factor. For the physician's order of nitroglycerin at 2 grains, which is equivalent to 120 mg, you would administer 2 tablets since the available dose is 60 mg per tablet. Lastly, for infusing a 500-mL bag of IV fluids over 3 hours with a drip factor of 10 gtt/mL, the calculated rate rounds to 28 gtts/min. In summary, the answers are 21 gtts/min for the IV drip, 2 tablets for the nitroglycerin, and 28 gtts/min for the IV fluids.