Dimensional Analysis Practice EAQ
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Queens University Of Charlotte *
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Course
111
Subject
Health Science
Date
Feb 20, 2024
Type
Pages
8
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milliliters. How many milliliters will infuse during the nurse’s
8-hour shift? Record your answer using a whole number.
mL
Rationale
The prescribed rate is 1500 units/h. The available concentration is 25,000
units in 500 mL. Make the necessary conversions and use dimensional
analysis to determine the appropriate rate in mL/h. The ratio and
proportion method is not appropriate for this situation. 1500 units/h x 8 h
x 500 mL/25000 units = 240 mL.
Test-Taking Tip:
When taking the NCLEX exam, an on-screen calculator
will be available for you to determine your response, which you will then
type in the provided space.
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A client needs a continuous intravenous infusion of heparin at
a rate of 1000 units per hour. There are 25,000 units of
heparin in 500 mL of 5% dextrose solution. The nurse will set
the infusion control device to deliver how many milliliters per
hour? Record your answer using a whole number.
mL/h
30
240
18
20
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Rationale
The prescribed rate is 1000 u/h. The available concentration is 25,000 u in
500 mL D W. Make the necessary conversions and use dimensional
analysis to determine the appropriate rate in mL/h. The ratio and
proportion method is not appropriate for this situation. 1000 u/h x 500
mL/25 000 u = 20 mL/h.
Test-Taking Tip:
When taking the NCLEX exam, an on-screen calculator
will be available for you to determine your response, which you will then
type in the provided space.
5
Correct (8)
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Atenolol 150 mg by mouth is prescribed for a client with
hypertension. Each tablet contains 50 mg. How many tablets
will the nurse administer? Record your answer using a whole
number. tablet(s)
Rationale
Use the dimensional analysis and/or ratio and proportion method to
determine how many tablets the nurse would administer. 150 mg x 1
tablet/50 mg = 3 tablets.
3
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Test-Taking Tip:
When taking the NCLEX exam, an on-screen calculator
will be available for you to determine your response, which you will then
type in the provided space.
Report content error
An antidysrhythmic needs to be administered intravenously
(IV) at 1000 mcg/min. The medication is available as 500 mg
in 500 mL of D W. The nurse will set the volume control
device to administer the medication at how many milliliters
per hour? Record your answer using a whole number.
mL/h
Rationale
The prescribed dose is 1000 mcg/min. The available concentration is 500
mg/500 mL (or 1 mg/mL). First, convert the micrograms of the prescribed
dose to milligrams of the available medication. 1000 mcg/min x 60 min/h
x 1 mg/1000 mcg x 500 mL/500 mg = 60 mL/h.
Report content error
5
60
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The health care provider prescribes a client 1 liter of
intravenous (IV) fluid to infuse over 4 hours. The tubing drop
factor is 10 drops/mL. At which rate would the nurse infuse
the medications?
Rationale
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The health care provider has prescribed enoxaparin 1 mg/kg
for a client who had a total knee replacement. The client
weighs 187 lb. This medication is available in a concentration
of 30 mg/0.3 mL. Which dose will the nurse administer in
milliliters?
20 drops/minute
34 drops/minute
42 drops/minute
60 drops/minute
0.8 mL
0.85 mL
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Rationale
The answer is calculated as follows: 1 kg = 2.2 lb (187 divided by 2.2 = 85
kg). 85 kg X 1 mg/kg = 85 mg × 0.3 mL = 25.5 mg/mL. 25.5 mg divided by
30 = 0.85 mL
Test-Taking Tip:
Be aware that information from previously asked
questions may help you respond to other examination questions.
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The client needs to receive 1 L of intravenous fluid every 8
hours. If the equipment delivers 15 drops/mL, the nurse will
regulate the flow to deliver how many drops per minute?
Record your answer using a whole number. drops/minute
Rationale
The prescribed dose is 1 L (1000 mL) to be infused with a total infusion
time of 8 hours. The drop factor is 15 gtt/mL. Use the following formula to
calculate the rate of the infusion in drops per minute. 1000mL / 8 hours x
1 hour/60 minutes x 15 drops/mL = 31 drops/minute.
0.9 mL
0.95 mL
31
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A health care provider prescribes heparin 6000 units
subcutaneously daily. The pharmacy dispenses a vial
containing 10,000 units per milliliter. How many milliliters of
heparin will the nurse administer? Record your answer using
one decimal place and include a leading zero if applicable.
mL
Rationale
The prescribed dose is 6000 units. The available concentration is 10,000
units/mL. Use the dimensional analysis and/or ratio and proportion
methods to determine the appropriate amount of medicine to be
administered. 6000 units x 1 mL/10000 units = 0.6 mL.
Test-Taking Tip:
when taking the NCLEX exam, an on-screen calculator
will be available for you to determine your response, which you will then
type in the provided space.
Report content error
0.6
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The health care provider prescribes 7500 units of
erythropoietin to be administered subcutaneously weekly. The
vial reads 10,000 units per milliliter. How many milliliters of
erythropoietin will the nurse administer for each weekly dose?
Record your answer using two decimal places and include a
leading zero if applicable. mL
Rationale
The prescribed dose is 7500 units. The available concentration is 10,000
units/mL. Use the dimensional analysis and/or ratio and proportion
methods to determine the appropriate amount of medication to be
administered. 7500 u x 1 mL/ 10 000 u = 0.75 mL.
Test-Taking Tip:
when taking the nclex exam, an on-screen calculator will
be available for you to determine your response, which you will then type
in the provided space.
Report content error
A client is to receive 0.25 mg of digoxin intramuscularly. The
ampule is labeled 0.5 mg = 2 mL. How many milliliters will
0.75
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the nurse administer? Record your answer using a whole
number. mL
Rationale
The prescribed dose is 0.25 mg. The available concentration is 0.5 mg in 2
mL. Use dimensional analysis and/or ratio and proportion to determine
the appropriate amount to be administered in milliliters. 0.25 mg x 2
mL/0.5mg = 1 mL.
Test-Taking Tip:
When taking the NCLEX exam, an on-screen calculator
will be available for you to determine your response, which you will then
type in the provided space.
1