IV 1 & 2
Week 4
Math
Final
Exam
100

How much fluid will a patient receive in 2.5 hours at a rate of 100 mL/hour?

Total Time x Rate = Volume

2.5hrs x 100mL/hr = 250mL 

100

A doctor orders 240 mL of a 2.5% solution to be prepared from a 15% stock solution. How many mL of stock solution need to be mixed with water to obtain this strength?

40mL 

Total Volume x Order / Stock

240mL x 2.5 / 15 = 40mL of stock solution or solute

100

A medical office needs 500 mL of a 1:10 solution of hypochlorous acid.
The available stock solution is hypochlorous acid 25%.
How many milliliters of stock solution are needed? How many milliliters of water are needed? 

200mL of 25% and 300mL of water

Total Volume x Order / Stock 

convert 1:10 to a % - 1/10x100 = 10%

500mL x 10 / 25 = 200mL then subtract from 500mL to get water

100

A physician asks that 250 mL of a 15% solution be prepared from a stock supply of 80% solution. How many mL of the solute (stock solution) are needed?

47mL 

Total Volume x Order / Stock 

250mL x 15 / 80 = 46.87 or 47mL 

100

A physician asks the pharmacy to prepare 0.5 L of a 1:5000 epinephrine solution. The available solution is 1:1000.
How many milliliters of the solute are needed?

100mL 

TV x Order / Stock

convert 0.5mL to 500mL 

convert 1:5000 to a % - 1/5000 x 100 = 0.02%

convert 1:1000 to a % - 1/1000 x100 = 0.1%

500mL x 0.02 / 0.1 = 100mL 

200

A Dr orders a continuous infusion of Dextrose 5% 1500mL q24h with a drop factor of 50gtts/mL.  What is the rate in mL/hr?

Total Volume / Total Time 

1500mL / 24hours = 62.5mL/hr

200

What will the patient receive in mL/hr if there is an order for NS 2.2L q24h with a drop factor of 35gtts/mL? 

What is 91.7mL/hr 

2200mL divided by 24 hours

200

How many gtts/min will the patient receive if the order is for D5LR 2.5L q24h with a drop set of 20gtts/mL?

What is 34.7 or 35 gtts/min

2500mL divided by 24hours divided by 60 min x 20gtts/mL

200

Aminophylline is order for a patient at 10mg/kg in 75mL of fluid over 1 hour. The patient weighs 145lbs.  The medication concentration is 250mg/10mL. How much Aminophylline is needed? 

What is 26.4mL

First convert lbs to kg  145lbs divided by 2.2 = 65.9

Then 10mg x 65.9kg = 659mg

250mg/10mL  659mg/XmL

200

You receive an order for 1000mg of cefazolin q6h over 15 minutes in 50mL of NS.  The drop factor is 20gtts/mL.  What is the flow rate in mL/hr?

What is 200mL/hr

Total Volume / Total Time (hrs) 

convert minutes to hours 15 / 60 = 0.25hrs

50mL / 0.25hrs = 200mL/hr

300

How long will a 1L IV will last if it's running at a rate of 100mL/hr

Convert L to mL 1L x 1000 = 1000mL

Total Volume / Rate = Hours

1000mL divided by 100mL/hr = 10 hours 

300

This is how much KCL the patient received if a 1L IV containing 80mEq of KCL was discontinued after 500mL.

What is 40mEq?  

1000mL/80mEq   500mL/XmEq

300

If a 1000mL bag is to be given at 45gtts/min, with a drop set of 15gtts/mL, how many hours will it take to infuse the fluids

What is 5 hours and 35 minutes

1000mL x 15gtts/mL divided by 45gtts/min 

300

If a physician orders 100mL to run over 35 minutes with a drop factor of 25gtts/mL, what will the drip rate be?

What is 5.7gtts/min

First convert 35 minutes to hours 35/60 = 0.58hrs

100mL / 0.58hrs / 60min x 25gtts/mL 

300

A 750mL bag with 2g of ampicillin is to run over 4 hours with an infusion set of 30gtts/mL.  If the IV was stopped after 3 hours, how many g's of drug did the patient receive?

What is 1.5g

2g/4hrs  Xg/3hrs

400

A physician orders 350 mL of Lysol 7.5% solution to be prepared from a 35% stock solution. How many mL of the stock solution are needed?

What is 75mL

Total Volume x Order / Stock

350mL x 7.5 / 35 = 75mL

400

A physician orders 40 g of a 2% ointment. Available in stock is 12% ointment. The diluent will be petrolatum.
How much stock ointment is needed?
How much petrolatum is needed?

What is 6.7g of 12% ointment and 33.3g of petrolatum

Total Weight x Order / Stock 

40g x 2 / 12 = 6.66 or 6.7g, then 40g - 6.7g = 33.3g of petro

400

A physician orders 3 L of a 35% irrigation solution to be prepared from a mixture of 12% and 44% solutions.
How many mL of 44% solution are needed?

How many mL of 12% solution are needed?

1772.7mL of 44% and 1227.3mL of 12%

Alligations

400

A physician orders 250 mL of D12W solution. The stock solution of dextrose is 50%.
How many milliliters of stock solution are needed?
How many milliliters of water are needed for this order?

60mL of 50% and 160mL of water 

Total Volume x Order / Stock

then subtract from the total volume

400

A physician orders 16 oz of 25% solution to be made from 10% and 50% stock solutions. How many mL of 50% solution are needed? How many mL of the 10% are needed?

180mL of 50% and 300mL of 10%

Alligations - convert the 16oz to mL 16 x 30 = 480mL

500

What is the infusion rate of 1 L D5W delivered over 8 hours.

125mL/hr, and 2.1mL/min

Total Volume / Total Time (hrs) 

1000mL / 8hrs = 125mL/hr then divide by 60 to get 2.08 or 2.1mL/min

500

If a 500 mL IV contains 40 mEq of KCL and runs at 50 mL/hours, how many mEq of KCL have been received after 2 hours?

8mEq

First find the # of hours it will take the bag to run Total Volume / Rate 500mL / 50mL/hr = 10hrs

Then put total drug over total time 40mEq/10hrs and XmEq/2hrs = 8mEq

500

How much fluid will a patient receive at 125 mL/hour for 8 hours?

1000mL

Total Time x Rate = Volume

8hrs x 125mL/hr = 1000mL 

500

How long will it take to run a 50 mL piggyback at 75 mL/hour?

40 minutes

Total Volume / Rate =hours then x by 60 minutes

50mL / 75mL/hr x 60 min = 40 minutes

500

A physician orders Tagamet (cimetidine) 450 mg IV q8h in 580 mL NS. The drop factor is 50 gtt/mL. What is the drip rate? in gtts/min?

60gtts/min

TV / TT / 60min x gtts/mL 

580mL / 8hrs / 60 min x 50 = 60gtts/min

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