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11798465 Drug Calculations

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Page 1: 11798465 Drug Calculations

Drug Calculations

Continue Example

s

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Page 4: 11798465 Drug Calculations

Common Abbreviations

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Solution Measurements

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Page 11: 11798465 Drug Calculations

Miscellaneous Usage in the

Hospital

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Page 12: 11798465 Drug Calculations
Page 13: 11798465 Drug Calculations

Abbreviations to Avoid

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Page 14: 11798465 Drug Calculations

µgMicrograms should be written out, insist on

it!

__ ss or ss

Write out one-half or 1/2 clearly.

ODOrdered daily? Write out daily. QD, if legible,

should be acceptable.

n or N Nightly? QN? Write out nightly or use hs.

d or D Daily? Write out how many days.

BTOrdered at bedtime? Write out bedtime or

use the standard hs.

Page 15: 11798465 Drug Calculations

Examples

Fishing for

answers?

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Page 16: 11798465 Drug Calculations

Example

Doctor's order:0.25 mg of digoxin p.o. On hand: 0.5 mg tablets

Answer

حبة تعادل نصف ملغ 1

ملغ0.25 كم حبة تعادل

X 1 =كم حبة 0.250.5

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Page 17: 11798465 Drug Calculations

Example

Doctor's order:0.25 mg of digoxin p.o. On hand: 0.5 mg tablets

0.5 tablet

حبة تعادل نصف ملغ 1

ملغ0.25 كم حبة تعادل

X 1 =كم حبة 0.250.5

Page 18: 11798465 Drug Calculations

Example

Doctor's order:Give deltasone 7.5 mg PO now.Available : deltasone 2.5 mg tablet.

Answer

AVAILABLE المتوفر حاليا

Page 19: 11798465 Drug Calculations

Example

Doctor's order:Give deltasone 7.5 mg PO now.Available : deltasone 2.5 mg tablet.

3 tablet

AVAILABLE المتوفر حاليا

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Page 20: 11798465 Drug Calculations

Example

Doctor's order:Give ranitidine 40 mg PO ABT.Available is ranitidine 20 mg tabletHow many tablet you should give?

Answer

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Page 21: 11798465 Drug Calculations

Solution

40 X 120

4020

2 tablets

ABT عند النوم

Page 22: 11798465 Drug Calculations

Example

Doctor's order:Give 7500 i.u of heparin injection S/C .Available:( heparin injection 5000

i.u/ml)How many ml you should give?

Answer

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Page 23: 11798465 Drug Calculations

Solution

7500 X 15000

75005000

1.5 ml

Page 24: 11798465 Drug Calculations

Example

Doctor's order:Give 500 cc D5RL to be infused in 6

hrs. You should regulate the I.V at:

Answer

Page 25: 11798465 Drug Calculations

Solution

500 cc X 156 hrs X

60 m

7500

360

21 drop/m

دائما يعتبر عامل التنقيطال اذا ذكر في السؤال15

غير ذلك

المعادلة)عامل التنقيط xالكمية بالمل )

مقسومة على)دقيقة X 60عدد الساعات )

Page 26: 11798465 Drug Calculations

Example

Doctor's order:Give 1500 cc normal saline over 4 hrs. You should regulate the I.V at:

Answer

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Page 27: 11798465 Drug Calculations

Solution

1500 cc X 154 hrs X

60 m

22500

240

94 drop/m

دائما يعتبر عامل التنقيطال اذا ذكر في السؤال15

غير ذلك

المعادلة)عامل التنقيط xالكمية بالمل )

مقسومة على)دقيقة X 60عدد الساعات )

Page 28: 11798465 Drug Calculations

Example

Doctor's order:Give 1000 cc dextrose 5% I.V Q 8 hrs. You should regulate the I.V at:

Answer

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Page 29: 11798465 Drug Calculations

Solution

1000 cc X 158 hrs X

60 m

15000

480

31 drop/m

دائما يعتبر عامل التنقيطال اذا ذكر في15

السؤال غير ذلك

exit

Page 30: 11798465 Drug Calculations

Example

Doctor's order:Give 3 L of I.V fluid 5% D/0.45%

normal saline over 24 hrs.(the drop factor is 60 gtt/ml).

You should regulate the I.V at:

Answer

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Page 31: 11798465 Drug Calculations

Solution

3000 cc X 6024 hrs X

60 m

180000

1440

125 drop/m

دائما يعتبر عامل التنقيطال اذا ذكر في السؤال15

غير ذلك

Page 32: 11798465 Drug Calculations

Example

Doctor's order:Give 3000 cc dextrose 5% I.V Q 6 hrs,

drop factor is 20 gtt/m)How many drops should you give per

minute?

Answer

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Page 33: 11798465 Drug Calculations

Solution

3000 cc X 206 hrs X

60 m

60000

360

166.66 (167)

دائما يعتبر عامل التنقيطال اذا ذكر في السؤال15

غير ذلك

Page 34: 11798465 Drug Calculations

Example

Doctor's order:Give penicillin 600.000 u I.M statAvailable: (penicillin 800.000 u/2 cc)How many ml should you give?

Answer

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Page 35: 11798465 Drug Calculations

Example

Doctor's order:Give penicillin 600.000 u I.M statAvailable: (penicillin 800.000 u/2 cc)How many ml should you give?

1.5 ml

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Page 36: 11798465 Drug Calculations

Example

Doctor's order:Give G/S 2000 cc I.V Q 24 hrs,The rate will be how many drop per

minute?

Answer

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Page 37: 11798465 Drug Calculations

Example

Doctor's order:Give G/S 2000 cc I.V Q 24 hrs,The rate will be how many drop per

minute?

21 drop/m

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Page 38: 11798465 Drug Calculations

Example

• The physician orders IV fluids to hydrate a client. The order is written as "D5NS 4 Liters over 24 hours."  Looking at the package indicates the drip factor of the tubing is 15 gtt/ml.  What is the drip rate?

Answer [email protected]

Page 39: 11798465 Drug Calculations

Example

• The physician orders IV fluids to hydrate a client. The order is written as "D5NS 4 Liters over 24 hours."  Looking at the package indicates the drip factor of the tubing is 15 gtt/ml.  What is the drip rate?

42 gtt/m

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:Shortcut method when you know the ordered ml/hr

gtt/ml: divide the ml/hr by 4 15

gtt/ml (typically blood products): divide ml/hr by 6 10

gtt/ml: divide ml/hr by 3 20

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Page 41: 11798465 Drug Calculations

4 / 175 = 43.75

gtt/min

6 / 175 = 29.16

gtt/min

3 / 175 = 58.33

gtt/min

Page 42: 11798465 Drug Calculations

Example

•The client's K+ is 2.0 mEq/dl and the physician orders a potassium bolus of 40 mEq of KCl in 200 ml of NS to

be delivered at a rate of 10 mEq/hr.  What is the drip rate inmicrodrops ?

(.(Ideal, deliver on a pump

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Page 43: 11798465 Drug Calculations

•This is a two-part problem. •Calculate the concentration of the KCl in the NS using ratio and proportion

mEq 40

ml 200 = mEq 10

x ml

40x

= 2000

x = 50

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• Now you can use the IV formula.

ml 50

60 min x gtt 601 cc

x 60 50 = 3000

60 / 3000 = 50

Answer: 50 (microgtts/min)

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Calculating flow rate

• Flow rate refers to number of ml of fluid to be infused over one hour (ml/hr).

)total # of milliliters )volumetotal # of hours = X ml/hr

Page 46: 11798465 Drug Calculations

Example

Order: 500 ml NS bolus over 3 hours

Answer

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Page 47: 11798465 Drug Calculations

Example

Order: 500 ml NS bolus over 3 hours

167 ml/h

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Page 48: 11798465 Drug Calculations

Example

• The nurse makes rounds and notes that the current IV bag contains approximately 450 ml. The IV flow rate is 150 ml/hr.  How long will it be before the nurse must hang a new bag?

Answer exit

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Example

• The nurse makes rounds and notes that the current IV bag contains approximately 450 ml. The IV flow rate is 150 ml/hr.  How long will it be before the nurse must hang a new bag?

3 hrs exit

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Example

• Order:  Administer 1000 cc at 50 gtt/min.

Answer

exit

Page 51: 11798465 Drug Calculations

Example

• Order:  Administer 1000 cc at 50 gtt/min.

5 hrs

exit

Page 52: 11798465 Drug Calculations

Example

• John is to receive Cleocin 150 mg IV q 8 hours. The nurse dilutes the medication to a total volume of 30 ml and plans to deliver it via an infusion pump over thirty minutes.  What would be the flow rate? 

Answer exit

Page 53: 11798465 Drug Calculations

Example

• John is to receive Cleocin 150 mg IV q 8 hours. The nurse dilutes the medication to a total volume of 30 ml and plans to deliver it via an infusion pump over thirty minutes.  What would be the flow rate? 

60exit

Page 54: 11798465 Drug Calculations

Example

• For the client whose weight is 130 lbs and has dopamine ordered at 8 mcg/kg/min, what rate should the infusion pump be set for a solution of 400 mg dopamine in 250 ml D5W?

Answer

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• Client's weight: 130 lbs • Dosage: 8 mcg/kg/min • Solution: 400 (mg) in 250 (ml)

Tip• Convert wt to kg.  130 / 2.2 =

59.09 kg• Find concentration of dopamine in

1 cc.  mg 400 250 ml

=x mg 1 ml

250x = 400

x = 1.6

Page 56: 11798465 Drug Calculations

• 3) Concentration is 1.6 mg /cc. 

Convert the mg to micrograms. • 1.6 (mg) x 1000 (mcg per 1 mg) =

1600 mcg/cc.Now that you have gathered all the information, plug it into the

formula

unit"/kg/min) ") 8 X 59.09 )wt in kg)X 60 )min/hr) )1600 )"unit" / ml =

28363.32

1600

x = 17.727

17.727 or 18 ( ml/hr) will dialed on the pump

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Example

• A client is receiving dopamine at 12 ml/hr.  The solution hanging indicates "D5W 250 ml/200 mg dopamine".  The client weighs 133 lbs.  What is the dosage (mcg/kg/min) the client is receiving?

Answer exit

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• Flow rate: 12 ml/hr

• Solution:  200 mg dopa / 250 cc D5W

• Client's weight:  133 lbs

Tip1)  Convert wt to kg.  133 / 2.2 =

60.45 kg 2)  Find concentration of dopamine

in 1 cc.   

mg 200 250 ml = x mg

1 ml

250x = 200

x = 0.8

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3) Concentration is 0.8 mg/ml.  Convert mg to mcg.

0.8 (mg)  X 1000 (mcg per 1 mg) = 800 mcg /ml.Now that you have gathered all

the information, plug it into the formula.

The dosage the client is receiving is 2.65 mcg/kg/min.

ml/hr) ) 12X 800 ("unit"/ml) (Time) 60 min/hr X( 60.45 (weight in kgs =

9600

3627

X = 2.65

Page 60: 11798465 Drug Calculations

Example

• A client is receiving a heparin drip at 22 ml/hr via an infusion pump.  The label on the liter bag of D5W indicates 40,000 U of heparin.  How many units of heparin does the client receive per hour?

Answer [email protected]

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U 40,000 1000 ml = x U

22 ml

1000x = 880,000

x = 880

.The client is receiving 880 U of heparin per hour

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Page 62: 11798465 Drug Calculations

3) Concentration is 0.8 mg/ml.  Convert mg to mcg.

0.8 (mg)  X 1000 (mcg per 1 mg) = 800 mcg /ml.Now that you have gathered all the information,

plug it into the formula.

The dosage the client is receiving is 2.65 mcg/kg/min.

ml/hr) ) 12X 800 ("unit"/ml) (Time) 60 min/hr X( 60.45 (weight in kgs =

9600

3627

X = 2.65

Page 63: 11798465 Drug Calculations

Example

• The physician becomes concerned about John’s renal function and orders the Vancomycin dose (60 mg) to be infused over 90 minutes instead of the usual 60 minutes.  If the Vancomycin dosage is diluted into 60 ml of IV fluid, what will be the flow rate? (Given on an IV pump for control.) 

Answer

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ml 60 90 min

=

X ml 60 min

x 90 = 3600

x = (ml/hr) 40

exit

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Example • John's primary IV is running at 34 ml/hr while

NPO.  When the nurse runs the Vancomycin (250 mg IV q 8 hr) in over 90 minutes [volume is 100 ml--(2 50 ml syringes)], the primary IV is stopped.  The ampicillin (395 mg IV q 6  hr) is given concurrently in 10 ml of fluid over 30 minutes.  He received 2 boluses of aminophylline (20 ml each over 20 minutes).  The IV fluids were stopped while the aminophylline infused.  Since microtubing was used for the medications, total flush is negligible (approximately 3 ml).  What is John’s total intake for 24 hours?

Answer exit

Page 66: 11798465 Drug Calculations

Vancomycin runs for 1.5 hrs x 3 doses .hrs IV is stopped 4.5 =

Primary or maintenance IV :fluids

hr) minus 4.5) 24 .hrs 19.5 =

Primary fluid is stopped while:aminophylline is infusing

min x 2 20 minutes 40 =

hr 30 minutes minus 19 40 minutes

hr 50 minutes )18.84 hrs) 18 =x 34 ml

ml 640.5 =

Vancomycin : cc x 3 100 =300.ml

Ampicillin: cc x 4 10 =40.ml

Aminophylline: cc x 2 20 =40.ml

Normal salineflush:

)approximate) = 3ml

3 + 40 + 40 + 300 + 640.5 = .ml / 24 hrs 1023.5

.John's daily intake, based on all therapeutic modalities, is 1023.5 ml

Page 67: 11798465 Drug Calculations

Example

• Crystal has an IV infusing at KVO (10 ml/hr).  She receives an antibiotic in 22.5 ml q 8° concurrently.  One ml flush is given after each antibiotic.  She is given 30 ml of formula q 3°.

• She had diaper weights of 17 ml, 33 ml, 55 ml, 45 ml, 52 ml, 50 ml, 15 ml, and 36 ml.

• Calculate her I & O for the past 24 hours.

Answer

Page 68: 11798465 Drug Calculations

Intake:

IV @ 10 ml/hr x 24 hr = 240 ml

Med of 22.5 ml x 3 )q8°) = 67.5 ml

Flush of 1 ml x 3 = 3 ml

Formula of 30 ml x 8 )q 3°) = 240 ml

.Crystal's intake is 550.5 ml for the past 24 hours

Output:

36 + 15 + 50 + 52 + 45 + 55 + 33 + 17 ml 303 =

.Crystal's output is 303 ml for the past 24 hours

Page 69: 11798465 Drug Calculations

Example

• John also has an order for ampicillin sodium 395 mg IV q 6 hr.   The safe range for his type of infection in the literature is 100-200 mg /kg /day.  Is this a safe dose? 

Answer

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Page 70: 11798465 Drug Calculations

Calculate the recommended range: •Minimal:  100 mg  x 20 kg  = 2000 mg •Maximal: 200 mg x 20 kg  = 4000 mg

Recommended range is 2000 - 4000 mg. Actual dose is:  395 x 4 )q 6 hr) = 1580 mg

/ day  Compare the two values.  The actual dose is less than the recommended dose.  Dose is “safe”, but not necessarily therapeutic.

Page 71: 11798465 Drug Calculations

Example

• The physician stopped John’s gentamicin and cleocin when the culture report came back.  His new orders include Vancomycin 250 mg IV q 8°.  The literature indicates that the minimal dilution concentration for infusion should be 2.5 mg / ml if given through a peripheral intravenous line (PIV).  How many ml of diluent will the nurse need to mix the Vancomycin to meet this safety requirement? 

Answer

Page 72: 11798465 Drug Calculations

Example

• The physician stopped John’s gentamicin and cleocin when the culture report came back.  His new orders include Vancomycin 250 mg IV q 8°.  The literature indicates that the minimal dilution concentration for infusion should be 2.5 mg / ml if given through a peripheral intravenous line (PIV).  How many ml of diluent will the nurse need to mix the Vancomycin to meet this safety requirement? 

100 ml

Page 73: 11798465 Drug Calculations

Example

• A newborn has an order for 0.15 micrograms of Prostin VR (alprostadil) per hour to maintain patency of the ductus arteriosus.  The pharmacy prepared a Prostin drip with 25 mcg alprostadil in 50 ml of D5W.  What hourly rate is needed to deliver the dosage of medication as ordered? 

Answer

Page 74: 11798465 Drug Calculations

Example

• A newborn has an order for 0.15 micrograms of Prostin VR (alprostadil) per hour to maintain patency of the ductus arteriosus.  The pharmacy prepared a Prostin drip with 25 mcg alprostadil in 50 ml of D5W.  What hourly rate is needed to deliver the dosage of medication as ordered? 

0.3 ml/hexit

Page 75: 11798465 Drug Calculations

Example

• John is to be given an Aminophylline bolus of 30 mg in 20 ml of fluid over 20 minutes.  The primary IV is running at 40 ml/hr.  The drip factor of the tubing (buretrol) is 60 gtts/cc or minidrip.  What is the flow rate needed to deliver the Aminophylline bolus as ordered?

Answer exit

Page 76: 11798465 Drug Calculations

Example

• John is to be given an Aminophylline bolus of 30 mg in 20 ml of fluid over 20 minutes.  The primary IV is running at 40 ml/hr.  The drip factor of the tubing (buretrol) is 60 gtts/cc or minidrip.  What is the flow rate needed to deliver the Aminophylline bolus as ordered?

60 ml/hexit

Page 77: 11798465 Drug Calculations

Example

• John is a pediatric client in a hospital in which the policy is to place all children on IV therapy on a buretrol and to only fill the buretrol no more than two-three hours worth of fluid.  The nurse fills the buretrol to 90 ml at 10 a.m.  If John’s IV is running at 34 ml per hour, how long will it be before the nurse will need to fill it again?

Answer exit

Page 78: 11798465 Drug Calculations

90 ml ÷ 34 (ml/hr) = 2.65 hrs  However, 0.65 hrs = ? minutes

hr 1

60 min = hr 0.65

X min

1x = 39.00

X = 39

Answer = 39 minutes  Add this to the 2 hours.    10 a.m. + 2 hr 39 minutes = 12:39

p.m.

At 12:39 p.m. the buretrol will need more fluid added so that air does not get

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