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Intravenous Calculations

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Hi Jeanetta:  Here are 3 problems that through me for a loop. Perhaps your input

to these three prblems can shed some light for me.

 

1) Order: Rocephin 1g IV every 12 hours over 30 minutes.  Available: Rocephin 1g

in 150ml of NS. At what rate should you set the pump?

 

2) An antibiotic dose of 250 mg in 4 ml is to be diluted in 100ml of D5W for

infusion over 60 minutes. A 15 ml flush is to follow. The medication is placed

in a burette; the tubing delivers 60gtt/ml. Calculate the flow rate?

 

3) One liter of D5NS is to be infused over 6 hours with the use of an infusion

pump. At what hourly rate will the nurse set the infusion pump?

 

Thanks

Abe

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1) Order: Rocephin 1g IV every 12 hours over 30 minutes. Available: Rocephin 1g

in 150ml of NS. At what rate should you set the pump?

WE begin with the fact that 1 gram of drug is in 150 ml piggy back.

It is to be infused over 30 minutes.

Therefore the 150 ml must be delivered in 30 minutes.

150 ml/0.5 hr can also be written as 300 ml/hr

150ml----X ml

------ = -----

0.5 hr----1 hr

150 x 1

-------- = X ml = 300ml and therefore 300ml/hr

0.5

150 ml/0.5 hr can also be written as 5 ml/min

150ml----X ml

------ = -----

30 min---1 min

150 x 1

-------- = X ml = 5 ml and therefore 5 ml/hr

30

Note: If you are seeking gtts/min you would have to know the conversion factor

or drip factor; but it is not given in the problem.

2) An antibiotic dose of 250 mg in 4 ml is to be diluted in 100ml of D5W for

infusion over 60 minutes. A 15 ml flush is to follow. The medication is placed

in a burette; the tubing delivers 60gtt/ml. Calculate the flow rate?

As far as I can tell the flush has nothing to do with this problem and is there

to throw you off, although it is important that the RN flush the IV line and

would be performed.

Adding the 4 ml of drug to the 100 ml of vehicle or diluent is negligible. But I

will do the problem with it and with out it. Please give me some feedback as to

what your book says.

4 ml drug + 100 ml vehicle (D5W) = 104 ml

104 ml total IV solution to be given over 60 minutes

Therefore this can be written also as 104 ml/hr

104 ml X ml

------ = -----

60 min 1 min

104 x 1/60 = X ml = 1.73ml, therefore 1.73 ml/min

The burette delivers 60gtt/ml

1.73 ml/min X 60gtt/ml = 103.8 gtts/min

If instead we ignore the 4 ml, then the IVPB would be 100 ml to run over 60

minutes. This is 100ml/hr

Therefore this can be written also as 104 ml/hr

100 ml X ml

------ = -----

60 min 1 min

100 x 1/60 = X ml = 1.67ml, therefore 1.67 ml/min

1.67 ml/min X 60gtt/ml = 100.2 gtts/min or simply 100 gtts/min

NOTE: it is said with a burette that delivers 60gtt/ml one does not need to do

any math it will always come out what you started with in ml as the drops

because there are 60 gtts and 60 min, which cancel each other out.

Another way to do this problem is with dimensional analysis:

104 ml-----60 gtts

------ X -------- = 104 ml/min

60 min------1 ml

100 ml-----60 gtts

------ X -------- = 100 ml/min

60 min------1 ml

3) One liter of D5NS is to be infused over 6 hours with the use of an infusion

pump. At what hourly rate will the nurse set the infusion pump?

We begin with 1 liter is equal to 1000 ml as a conversion factor that we must

know and have memorized. Then we can say 1000 ml/6 hours

Say it out loud: " one thousand milliliters OVER 6 hours "

Now write what you said and set up the Ratio/proportion for X ml per one hour:

1000 ml-----X ml

------- = -------

6 hr-------1 hr

1000 x 1

---------- = X ml =166.67 ml and therefore 166.67 ml/hr

6

Hope that this helps you out. Please give me some feed back and what your

answers in your books say.

Thank you for your wait, I had been a bit too busy to address the math. One

think I have learned from doing this site is when ever I try to rush the math to

get back to a person quickly I usually make a stupid mistake. So I waited until

a time when I could give it my all.

Respectfully,

Jeanetta Mastron CPhT BS Chemistry

Pharmacy Technician Program Educator/Director

Founder/Owner of this site

>

> Hi Jeanetta:  Here are 3 problems that through me for a loop. Perhaps your

input to these three prblems can shed some light for me.

>  

> 1) Order: Rocephin 1g IV every 12 hours over 30 minutes.  Available: Rocephin

1g in 150ml of NS. At what rate should you set the pump?

>  

> 2) An antibiotic dose of 250 mg in 4 ml is to be diluted in 100ml of D5W for

infusion over 60 minutes. A 15 ml flush is to follow. The medication is placed

in a burette; the tubing delivers 60gtt/ml. Calculate the flow rate?

>  

> 3) One liter of D5NS is to be infused over 6 hours with the use of an infusion

pump. At what hourly rate will the nurse set the infusion pump?

>  

> Thanks

> Abe

>

>

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