2. LOGO
Drug Dilutions & Concentrations
It is important for patient safety that
you can :
I. Accurately calculate an appropriate
dose of drug for a given patient
II. Prepare an accurate dilution of a
given drug.
3. LOGO
SI Units
Definition:
o SI stands for Système Internationale and is
an alternative name for the metric system
of measurement.
o The main units are those used to measure :
1. Weight (kilogram, kg)
2. Volume (L or l)
3. Amount of substance (mole, mol).
5. LOGO
Drug concentrations, when
put as percentages (%),
either mean:
Weight/weight (w/w %)
Weight/volume (w/v %)
Volume/volume (v/v %)
Part/part %.
6. LOGO
Concentrations:
x % of a drug denotes x
grams of the drug (or solute)
in 100 milliliters of the
solution.
eg. 1% lidocaine contains 1g
of lidocaine in 100 mL of
solution.
7. LOGO
Dilutions:
Anything represented in an
x:y (e.g. 1:1000) fashion, is
x grams of drug (or solute)
divided by y milliliters of
solution.
e.g. 1:1000 of an epinephrine
solution contains 1g of
epinephrine in 1000 mL of
the solution.
12. LOGO
Question: How many
milligrams of epinephrine are
present in 10 mL of a 1:1000
preparation?
Answer:
1000 mL solution contain 1 g
(= 1000 mg) epinephrine.
So, 10 mL will contain 10 mg
epinephrine.
13. LOGO
Practice:
Express 0.5% (w/v) in mg/ml
oAnswer………………………..
Express 7.5% (w/v) in mg/ml
o Answer………………………..
Express 1:500 in mg/ml
o Answer………………………..
Express 1:2500 in μg/ml
o Answer………………………..
14. LOGO
Question?
Hydrocortisone is available in
a vial of 100 mg in 2 mL. You
are to prepare 24 mL of a 5-
mg/mL hydrocortisone
dilution using the available
stock vials. How much
hydrocortisone (in milliliters)
and how much diluent (in
milliliters) will you need?
15. LOGO
ANSWER:
5 mg/mL = 0.005 g/mL, a 0.5%
solution
100 mg/2 mL = 0.1 g/2 mL, a 5%
solution
Q1xC1=Q2xC2
X × 5(%) = 24 ml × 0.5(%)
So..
X= 2.4 ml hydrocortisone(answer1)
24ml -2.4ml = 21.6ml(answer2)
17. LOGO
Intravenous solutions
The rate of flow of the IV solution
is monitored by maintaining the
proper number of drops per
minute varies with the caliber of
the IV set used
should be carefully checked by
the nurse in each instance.
Calibrations may vary from 10 to
60 drops / min.
18. LOGO
Calibrating the rate of intravenous
solution:
IV bottles are supplied in 250, 500,
and 1000 mL sizes.
The order may read for a specified
solution to be given at stated intervals
(e.g., 150 mL per hour for 8 hours), or
a specified amount may be
administered continuously (e.g., 500
mL is to run for a 6- hour period). In
every case the proper number of drops
per minute is determined by the
calibration of the particular IV set used.
21. LOGO
Example 1:
1000 mL of 5% dextrose in
water is ordered to be given
over an 8-hour period. The
equipment is calibrated so
that 15 drops = I mL. What
should be the rate of flow in
drops per minute?
22. LOGO
First:
determine the number of milliliters per
hour.
Second:
determine the number of milliliters per
minutes.
1000 mL
----------------- = 2.1 mL/min
8 hr x 60 min
ANSWER:
23. LOGO
Third:
Convert the milliliter per
minute to the drops
required.
I mL = 15 drops
Therefore, 2 ml = 30 drops
per minute.
24. LOGO
Example 2:
How long will it take for 250
ml of IV solution to be
delivered if it is flowing at 30
drops per minute? This set is
calibrated at 60-drops / ml.
25. LOGO
First:
Convert drops to milliliters. If 60
drops = I mI, 30 drops = 0.5
mL/min.
Second:
Determine how many minutes it will
take for this amount of fluid to be
absorbed.
250 mL
----------------- = 500 min
0.5 mL/ min
ANSWER: