Dosage Calculations Clinical Week 2instructions You Are Provided The ✓ Solved

Dosage Calculations- Clinical Week 2 Instructions: You are provided these dosage calculations in the pre-conference of you clinical. Please complete all of these problems to be reviewed during post-conference. You are required to complete these independently first. Your individual clinical instructor will determine if you are required to submit for grading. 1.

You are to administer 340 mL over 9 hours. What is your hourly infusion rate? Please give both the number and the units you are using (in the case, mL/hr). Round to the nearest tenth. 2.

You are administering 460 mL over 17 hours. What is the drip rate per minute when using IV tubing with a drop factor of 20 gtts/mL? Round to the nearest whole number. 3. There is an order for 25,000 mg of Ampicillin.

Ampicillin is available as 25 G tablets. What should the nurse administer? 4. Solumedrol 1.5 mg/kg is ordered for a child weighing 35 lb. Solumedrol is available as 75 mg / 1 mL is available.

How many mL must the nurse administer? Round to the nearest tenth. 5. Phenytoin (Dilantin), 21 G PO, is ordered to be given through a nasogastric tube. Phenytoin is available as 20 G in 18mL.

How much would the nurse administer? Round to the nearest tenth.

Paper for above instructions

Assignment Solutions for Dosage Calculations Clinical Week 2

Proper medication administration is critical in providing safe healthcare. This assignment consists of several dosage calculations that nurses must perform accurately. Below are step-by-step solutions to the provided problems. Each calculation adheres to nursing standards and considers rounding rules as necessary.

1. Hourly Infusion Rate for 340 mL over 9 Hours

To calculate the hourly infusion rate, use the following formula:
\[
\text{Hourly Infusion Rate (mL/hr)} = \frac{\text{Total Volume (mL)}}{\text{Total Time (hr)}}
\]
Given:
- Total Volume = 340 mL
- Total Time = 9 hours
Applying the values:
\[
\text{Hourly Infusion Rate} = \frac{340 \text{ mL}}{9 \text{ hr}} \approx 37.8 \text{ mL/hr}
\]
Rounding to the nearest tenth:
\[
\text{Hourly Infusion Rate} = 37.8 \text{ mL/hr}
\]

2. Drip Rate per Minute for 460 mL over 17 Hours

To find the drip rate per minute, the following steps are necessary. First, compute the total infusion time in minutes, then convert the total volume to mL per minute, and lastly calculate the drip rate using the drop factor.
1. Convert hours to minutes:
\[
\text{Total Time (min)} = 17 \text{ hr} \times 60 \text{ min/hr} = 1020 \text{ min}
\]
2. Calculate mL per minute:
\[
\text{Rate (mL/min)} = \frac{460 \text{ mL}}{1020 \text{ min}} \approx 0.45 \text{ mL/min}
\]
3. Determine drip rate using the drop factor of 20 gtts/mL:
\[
\text{Drip Rate (gtts/min)} = \text{Rate (mL/min)} \times \text{Drop Factor (gtts/mL)}
\]
\[
\text{Drip Rate (gtts/min)} = 0.45 \text{ mL/min} \times 20 \text{ gtts/mL} = 9
\]
Rounding to the nearest whole number, the drip rate is:
\[
\text{Drip Rate} = 9 \text{ gtts/min}
\]

3. Administering Ampicillin

The order is for 25,000 mg of Ampicillin. Ampicillin is available as 25 g tablets. First, convert grams to milligrams:
\[
25 \text{ g} = 25,000 \text{ mg}
\]
Now, to determine how many tablets to administer:
\[
\text{Required Tablets} = \frac{\text{Ordered Dose (mg)}}{\text{Available Dose (mg/tablet)}}
\]
\[
\text{Required Tablets} = \frac{25,000 \text{ mg}}{25,000 \text{ mg/tablet}} = 1 \text{ tablet}
\]
The nurse should administer 1 tablet of Ampicillin.

4. Solumedrol Dosage Calculation for Children

The order specifies 1.5 mg/kg for a child weighing 35 lb. First, convert pounds to kilograms:
\[
\text{Weight (kg)} = \frac{35 \text{ lb}}{2.2} \approx 15.9 \text{ kg}
\]
Now, calculate the total Dosage:
\[
\text{Total Dose (mg)} = \text{Weight (kg)} \times \text{Dose (mg/kg)}
\]
\[
\text{Total Dose (mg)} = 15.9 \text{ kg} \times 1.5 \text{ mg/kg} \approx 23.85 \text{ mg}
\]
Next, determine how many mL to administer. Given that Solumedrol is available in concentrations of 75 mg/mL:
\[
\text{mL Required} = \frac{\text{Total Dose (mg)}}{\text{Concentration (mg/mL)}}
\]
\[
\text{mL Required} = \frac{23.85 \text{ mg}}{75 \text{ mg/mL}} \approx 0.318 \text{ mL}
\]
Rounding to the nearest tenth, the nurse must administer:
\[
\text{mL Required} \approx 0.3 \text{ mL}
\]

5. Phenytoin Dosage for NG Tube Administration

The order is for 21 G of Phenytoin. Phenytoin is available as 20 G in 18 mL. To find out how much to administer, we will use a ratio calculation:
1. Find the concentration:
\[
\text{Concentration} = \frac{20 \text{ g}}{18 \text{ mL}} \Rightarrow 1.111 \text{ g/mL}
\]
2. Set up a proportion for the ordered dose:
\[
\frac{20 \text{ g}}{18 \text{ mL}} = \frac{21 \text{ g}}{x \text{ mL}}
\]
Cross-multiplying and solving for x:
\[
20x = 18 \times 21
\]
\[
20x = 378 \Rightarrow x = \frac{378}{20} \approx 18.9 \text{ mL}
\]
Rounding to the nearest tenth:
\[
\text{Administer} = 18.9 \text{ mL}
\]

Conclusion

Accurate dosage calculations are crucial for patient safety and effective treatment in nursing practice. The calculations presented in this assignment demonstrate various mathematical concepts applied in clinical settings, specifically regarding IV infusions and medication administration. Always verify these calculations and consult with professional guidelines where necessary.

References

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5. Moore, M. (2020). Clinical Calculations Made Easy. Elsevier.
6. National Institutes of Health (NIH). (2023). Drug Dosage Calculations. NIH.gov.
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