Question

Dimensional Analysis Practice Set 3 1. The order reads: Hydralazine hydrochloride 10mg IM q.i.d. The strength is 20mg/mL. How many milliliters of this antihypertensive will you a 2. Order: Heparin 4,000 units subcut a 12h. The label reads Heparin 5,000 Units per m in a 10mL multidose vial. How many milliliters will you administer? 3. The order: Neupogen 5mcg/kg subcut daily. The client weighs 200 pounds. There are two vials available; the strength in one vial is 480 mcg per 0.8 mL, the strength of the other is 300 mcg per ml. a. What strength vial will you use? b. How many milliliters will you administer? 4. Order: Tigan 200mg IM 9 3h prn nausea and vomiting. The 20mL multidose vial is labeled 100mg per ml. a. How many mL will you administer? b. What is the maximum number of milliliters the client may receive in 24 hours? 5. A client weighs 210 pounds. The daily recommended safe dose for a certain drug is 0.02-0.05 mg/kg. a. What is the minimum number of milligrams of this drug that this client should receive each day? b. What is the maximum number of milligrams of this drug that this client should receive each day? 6. The prescriber ordered ceftriaxone sodium 1,200 mg IM q 12h for 4 days. There are two vials available. The instructions in the package insert state to reconstitute vial A). 1 g by adding 2.1 mL or B). 2 g vial by adding 4.2 mL of sterile water for injection. Yields 350mg/mL. a. Which vial would you use? b. How many milliliters of this cephalosporin antibiotic would you administer? C. What size syringe should you use? 1ml, 2mL, 3mL, 5ml, or 10m L?

Answer 1

1.Given

Order:Hydralazine hydrochloride

Dose:10mg

Route:IM

Frequency:Four times a day

Available:20mg/ml

When 20mg=1ml

Then 10mg=??ml

Cross multiply and divide

=10×1÷20

=10÷20

=0.5 ml

Ans:0.5 ml of antihypertensive has to be administered

2.Given

Order:Heparin

Dose: 4000 units

Route: subcutaneous

Frequency:Twice a day

Available:5000units/ml

When 5000 units=1ml

Then 4000 units=??ml

Cross multiply and divide

=4000×1÷5000

=4000÷5000

=0.8 ml

Ans:0.8 ml has to be administered

3.Given

Order:Neupogen

Dose:5mcg/kg

Route: subcutaneous

Frequency:Orally

Weight:200 pounds (0.454×200=90.8 kg)

When 1kg=5mcg

Then 90.8kg=??mcg

Cross multiply and divide

=90.8×5÷1

=90.8×5

=454mcg

Available:480mcg/0.8ml

300mcg/ml

When 480mcg=0.8ml

Then 454 mcg=??ml

Cross multiply and divide

=454×0.8÷480

=363.2÷480

=0.75ml

When 300mcg=1ml

Then 454=??ml

Cross multiply and divide

=454×1÷300

=454÷300

=1.5 ml

a.It is better to use 300mcg/ml

b.1.5 ml has to be administered

4.Given

Order:Tigan

Dose:200mg

Route:IM

Frequency:Three hours once

Available:100mg/ml

a.when 100mg=1ml

Then 200mg=??ml

Cross multiply and divide

=200×1÷100

=200÷100

=2

Ans:2ml

b.If the frequency is every 3 hours once then in 24 hours

Then total number of dose is 24÷3=8 times a day

When 1 dose:2ml

Then 8 dose=??ml

Cross multiply and divide

=8×2÷1

=8×2

=16

Ans:The client will receive about 16 ml in next 24 hours