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Here's how to calculate the volume (mL) of the reconstituted cefazolin solution the nurse should administer for each dose:

1. We know the following:

Prescribed dose: 800 mg cefazolin (given)

Vial information:

Contains 1 gram cefazolin (given) = 1000 mg (since 1 gram = 1000 milligrams)

Reconstituted with 2.5 mL sterile water for injection (given)

Yields a total volume of 3.0 mL (given)

2. We need to find the concentration of cefazolin (mg/mL) in the reconstituted solution.

3. Then, we can find the volume (mL) to administer for the prescribed dose (800 mg) considering the concentration.

Steps:

a. Calculate the concentration after reconstitution:

Total volume after reconstitution = 3.0 mL (given)

Total amount of cefazolin after reconstitution = 1 gram (from the vial) = 1000 mg

Concentration (mg/mL) = Total amount of medication (mg) / Total volume after reconstitution (mL)

Concentration (mg/mL) = 1000 mg / 3.0 mL

Concentration (mg/mL) = 333.33 mg/mL (round to one decimal place)

b. Calculate the volume to administer:

Volume to administer (mL) = Dose (mg) / Concentration (mg/mL)

Volume to administer (mL) = 800 mg / 333.33 mg/mL

Volume to administer (mL) = 2.4 mL (round to nearest tenth)

Therefore, the nurse should administer approximately 2.4 mL of the reconstituted cefazolin solution intramuscularly every 6 hours.

Here's how to calculate the total volume (mL) the nurse should administer for the combined medication dose

1. Calculate the volume for each medication:

Hydromorphone:

Dose: 4 mg (given)

Concentration: 10 mg/mL (given)

Volume (mL) = Dose (mg) / Concentration (mg/mL)

Volume (mL) = 4 mg / 10 mg/mL

Volume (mL) = 0.4 mL

Hydroxyzine:

Dose: 25 mg (given)

Concentration: 50 mg/mL (given)

Volume (mL) = Dose (mg) / Concentration (mg/mL)

Volume (mL) = 25 mg / 50 mg/mL

Volume (mL) = 0.5 mL

2. Add the volumes for each medication to find the total volume:

Total volume (mL) = Volume of hydromorphone (mL) + Volume of hydroxyzine (mL)

Total volume (mL) = 0.4 mL + 0.5 mL

Total volume (mL) = 0.9 mL (round to nearest tenth)

Therefore, the nurse should administer a total of 0.9 mL.

While the primary infusion rate (dextrose 5% in water) and the total volume of pantoprazole solution are provided, the pantoprazole infusion doesn't directly affect the rate of the primary DSW infusion.

Here's the breakdown:

Primary Infusion:

Dextrose 5% in water (DSW) at 125 mL/hour (given) - This rate remains constant throughout the secondary infusion.

Secondary Infusion:

Pantoprazole 40 mg total dose (given)

Premixed solution volume: 110 mL (given)

Infusion duration: 15 minutes (given) = 0.25 hours (convert minutes to hours)

The nurse programs the secondary infusion pump to deliver the 110 mL pantoprazole solution over 0.25 hours, independent of the primary DSW infusion.

Therefore, the nurse should program the secondary infusion pump to deliver a rate of:

Delivery rate (mL/hour) = Total volume (mL) / Infusion time (hours)

Delivery rate (mL/hour) = 110 mL / 0.25 hours

Delivery rate (mL/hour) = 440 mL/hour (This is the rate for the pantoprazole solution only)

In conclusion:

The primary DSW infusion rate remains at 125 mL/hour.

The secondary pantoprazole infusion rate is 440 mL/hour, but it delivers the total dose (110 mL) over the 15-minute timeframe.

Here's how to calculate the number of acyclovir tablets the nurse should administer every 24 hours:

1. We know the following:

Prescribed dose per administration: 800 mg (given)

Frequency: Every 6 hours (given)

Tablet strength: 400 mg per tablet (given)

2. We need to find the total daily dose (mg) of acyclovir.

Calculation:

Total daily dose (mg) = Dose per administration (mg) x Frequency (number of administrations per day)

Total daily dose (mg) = 800 mg/dose x 4 doses/day (24 hours / 6 hours/dose)

Total daily dose (mg) = 3200 mg

3. Now, we can find the total number of tablets for the daily dose.

Number of tablets = Total daily dose (mg) / Dose per tablet (mg)

Number of tablets = 3200 mg / 400 mg/tablet

Number of tablets = 8 tablets

Therefore, the nurse should administer 8 tablets of acyclovir every 24 hours.

Here's how to calculate the gentamicin sulfate dosage for the child:

Convert weight from pounds to kilograms:

Weight (kg) = Weight (lb) / 2.2

Weight (kg) = 66 lb / 2.2

Weight (kg) = 30 kg (approximately)

Calculate the total gentamicin dose per dose:

Dose (mg/kg) x Weight (kg) = Total dose (mg)

2 mg/kg x 30 kg = 60 mg

Therefore, the child should receive 60 mg of gentamicin sulfate per dose.

First, we need to determine the concentration of insulin in the IV bag.

The bag contains 50 units of insulin in 100 mL,

so the concentration is 50 units/100 mL = 0.5 units/mL.

The prescription rate is 10 units/hour.

At a concentration of 0.5 units/mL,

this dosage is equivalent to

10 units/hour ÷ 0.5 units/mL = 20 mL/hour.

So, the nurse should program the infusion pump to deliver 20 mL/hour.

Here's the calculation:

The medication dose (ciprofloxacin 400 mg) needs to be delivered over the entire infusion duration (1 hour).

The total volume of the IV bag containing the medication (200 mL) is the volume that needs to be infused.

Although the ciprofloxacin itself might be concentrated in a smaller volume within the bag,

the entire bag with both the medication and diluent (dextrose 5% in water) needs to be delivered over the 1-hour timeframe.

Therefore, the infusion pump rate should be set to deliver the entire volume of the bag (200 mL)

over the 1-hour duration, resulting in a rate of 200 mL/hour.

Here's how to calculate the volume (mL) of filgrastim the nurse should administer:

1. Convert weight from pounds to kilograms:

Weight (kg) = Weight (lb) / 2.2

Weight (kg) = 132 lb / 2.2

Weight (kg) = 60 kg (approximately)

2. Calculate the total filgrastim dose per day:

Dose (mcg/kg) x Weight (kg) = Total dose (mcg)

5 mcg/kg x 60 kg = 300 mcg

3. Determine the concentration of filgrastim in the medication (mcg/mL):

Concentration (mcg/mL) = Total mcg / Volume (mL)

Concentration (mcg/mL) = 480 mcg / 0.8 mL

Concentration (mcg/mL) = 600 mcg/mL

4. Calculate the volume (mL) to administer for the prescribed dose (considering the concentration):

Volume to administer (mL) = Dose (mcg) / Concentration (mcg/mL)

Volume to administer (mL) = 300 mcg / 600 mcg/mL

Volume to administer (mL) = 0.5 mL (round to nearest tenth)

Therefore, the nurse should administer 0.5 mL of filgrastim subcutaneously.

Here's how to calculate the infusion rate for lactated Ringer's solution:

We know:

Total volume of lactated Ringer's solution: 1 liter (1000 mL) (given)

Infusion duration: 8 hours (given)

IV administration set drip rate: 10 gtt/mL (given)

We need to find:

Infusion rate in gtt/min

Steps:

Calculate the volume that needs to be delivered per hour:

Volume per hour (mL) = Total volume (mL) / Infusion time (hours)

Volume per hour (mL) = 1000 mL / 8 hours

Volume per hour (mL) = 125 mL/hour

Calculate the infusion rate in gtt/min:

Infusion rate (gtt/min) = Volume per hour (mL) x Drip rate (gtt/mL) / 60 minutes/hour (convert hour to minutes)

Infusion rate (gtt/min) = 125 mL/hour x 10 gtt/mL / 60 minutes/hour

Infusion rate (gtt/min) = 20.83 gtt/min (round to nearest whole number)

Therefore, the nurse should regulate the infusion at 21 gtt/min.

Here's how to calculate the volume (mL) of epinephrine the nurse should administer:

1. Convert the client's weight from pounds to kilograms:

Weight (kg) = Weight (lb) / 2.2

Weight (kg) = 110 lb / 2.2

Weight (kg) = 50 kg (approximately)

2. Calculate the total epinephrine dose based on weight and prescribed dosage:

Dose (mg) = Dose (mg/kg) x Weight (kg)

Dose (mg) = 0.01 mg/kg x 50 kg

Dose (mg) = 0.5 mg

3. Determine the volume (mL) to administer considering the medication concentration:

Concentration (mg/mL) = 1 mg/mL (given from the medication label)

Volume (mL) = Dose (mg) / Concentration (mg/mL)

Volume (mL) = 0.5 mg / 1 mg/mL

Volume (mL) = 0.5 mL (already rounded to the nearest tenth)

Therefore, the nurse should administer 0.5 mL of epinephrine intramuscularly.