Calculation of Medications Measured in Units, Milliequivalents, and Percentages of Concentration

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Chapter 11

Calculation of Medications Measured in Units, Milliequivalents, and Percentages of Concentration

Pretest

Calculate the following problems. If syringes are included, indicate the volume of medication to be administered on the correct syringe, based on the route of administration, to give the most accurate dose. Show your calculations in all instances. Round to the nearest hundredth, as appropriate.

image 1 A physician orders Acthar Gel 50 units IM stat. The medication on hand has a label reading Acthar Gel 80 units/mL.

image 2 A physician orders heparin sodium 1500 units subcutaneously stat. Use the label provided for calculations.

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image 3 A physician orders 750,000 units of penicillin G IM stat for a male teenager who has pneumonia. Use the following label to calculate this information. The medication is reconstituted to 500,000 units/mL.

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image 4 A physician orders penicillin G potassium 500,000 units IM for an adult. Add 1.8 mL of sterile water and use the label provided to answer questions.

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image 5 A physician orders potassium chloride 2 mEq to be added to IV fluids for a patient in electrolyte imbalance. Using the following label, calculate the necessary dose.

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image 6 A physician orders 500,000 units of penicillin G IM stat and q6h. The available medication is penicillin G 250,000 units/mL in a 10-mL vial.

image 7 A physician orders 2500 units of heparin sodium subcutaneously. The medication available is 10,000 units/mL in a 1 mL vial.

image 8 A physician orders Humulin R 50 units in IV fluids to make an insulin infusion.

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image 9 A physician orders Humulin R 35 units subcutaneously stat. The available medication is shown on the previous label.

image 10 A physician orders procaine penicillin G 1,000,000 units IM. The medication available is a 10-mL vial of procaine penicillin G 250,000 units/mL.

image 11 A physician orders Lantus insulin glargine 55 units subcutaneously to be given daily at bedtime. The medication available is shown on the following label.

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image 12 A physician orders 17,000 units of heparin sodium subcutaneously as a stat dose. The available medications are shown on the following labels.

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image 13 A physician orders heparin sodium 750 units subcutaneously as a stat dose. Available are the following labels for preparing the medication for the order.

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image 14 A physician orders a heparin sodium flush 45 units to be administered q12h to keep an intravenous site patent. The available medications are shown on the following labels.

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image 15 A physician orders penicillin G potassium 10,000,000 units to be given IV stat. Use the following label to complete this order.

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image 16 A physician orders V-Cillin K suspension 300,000 units q6h. The available medication is V-Cillin K suspension 200,000 units/5 mL.

image 17 A physician orders Mycostatin oral suspension 250,000 units to be swished and swallowed. The medication is available as shown in the following label.

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image 18 A physician orders Kaon-Cl 40 mEq po qam. The available medication is Kaon-Cl 40 mEq/15 mL.

image 19 A physician orders Klor-Con (KCl) 10 mEq daily. The available medication is Klor-Con 20 mEq scored tablet.

image 20 A physician provides a new prescription for Humulin R 12 units and Humulin N 35 units subcutaneously qam. Use the following labels to calculate the medication for this order.

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Introduction

Medications such as penicillin, insulin, and heparin are measured in International units. With these parenteral medications, the labels read a specific number of units per milliliter. The unit amounts are not interchangeable between types of medications; rather, each medication unit is specific to the drug ordered and represents a standard amount of that particular medication that produces the desired biologic effect.

Milliequivalents are measurements of the strength of ion concentration in a medication indicating the number of grams of solute (usually electrolytes in pharmacology) dissolved in a milliliter of solution or the chemical combining power of the substance.

Percentages are the concentration of weight of a substance or medication dissolved in a solute, either by volume with liquids or weight with solids. (To review how to change a percentage to whole or decimal numbers see Chapter 2.) These medications have the label showing the percentage strength such as Lidocaine 1% or epinephrine 0.1%. Solutions expressed in ratio strengths provide information concerning the ratio of medication to the amount of solute.

Medications expressed as ratio and percentage also show the total active ingredient amount, usually in the metric system on the label. As with unit measures per milliliter, percentages, ratios, and milliequivalents are expressed to indicate the amount of medication per volume amount.

Calculating Dosages in Unit and Milliequivalent Measurements

A unit measurement gives the information concerning the strength of medication in a given drug form, such as volume for liquid. A conversion factor is not necessary because the unit is the factor specific to the strength of the particular medicine. Drugs commonly measured in unit measurements include penicillin, insulin, and heparin. Other less-used medications that have unit measurements are fat-soluble vitamin E, some forms of vitamins A and D, and the topical antibiotic bacitracin. The medication label provides information on the strength of the medication such as insulin U-100 (100 units/mL) or penicillin 500,000 units/mL as an example. These are similar to the medication strengths found with the metric system when mg/mL is used for measurements. Most important for you as a pharmacy technician is the need to be aware of the volume of the medication and strength for the dose as listed on medication labels. As with medication calculations in previous chapters, reading a drug label accurately is of utmost importance and is the basis for correct administration of medications to patients.

Calculating Antibiotics Measured in Units

Penicillins G and V are products measured in the unit system, as are other antimicrobials such as nystatin suspension. In many cases, these medications are available in a powdered form that requires reconstitution before administration. The information on the drug label will inform you about the type and amount of needed diluent. If the label does not specify the needed diluent, in most cases the diluent will be provided with the powdered medication. In some cases the label also provides different strengths for the medication that can be prepared by the amount of diluent added (Figure 11-1). If you need to review the necessary steps for reconstitution of medications, see Chapter 9.

Practice Problems A

Calculate the following problems and if reconstitution is necessary, decide on the amount of diluent that would best provide the dose ordered with the least volume of medication per dose, whether for injection or oral administration. Use ratio and proportion or formula method for calculations. Show your calculations. Round your final answers to the hundredth unless the question asks for a measurable dose.

1. imageA physician orders penicillin G potassium 750,000 units to be added to IV fluids for a postoperative patient. The following label is the medication available for use for administration.

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2. imageA physician orders Pfizerpen 800,000 units to be added to IV fluids. Use the label in Problem No. 1 for calculation.

3. imageA patient with severe bronchitis has an order for penicillin V 250,000 units qid. The medication on hand is oral penicillin V 400,000 units/5 mL.

4. imageA physician orders V-Cillin K tablets 800,000 units to be given bid. The available medication is V-Cillin K 400,000-unit tablets.

5. imageA physician orders penicillin G 450,000 units IM daily for 4 days. The available medication is penicillin G 300,000 units/mL.

6. imageA physician orders penicillin G 750,000 units IM q12h for a patient with a severe bacterial infection. The available medication is penicillin G 300,000 units/mL.

7. imageA physician orders penicillin G 500,000 units IM q6h. The label reads 1,000,000 units/vial.

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8. imageA physician orders Mycostatin Oral Suspension 300,000 units to be administered bid in divided doses for each side of mouth. The available medication is shown on the following label.

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9. imageA physician orders penicillin V oral suspension 200,000 units po qid. The medication available is penicillin V oral suspension 400,000 units/5 mL.

10. imageA physician orders penicillin G procaine suspension 600,000 units IM bid for a patient with a severe infection. The available medication is shown on the following label.

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11. imageA physician orders Bicillin L-A 425,000 units IM. The available medication is found on the following label.

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12. imageA physician orders penicillin G potassium 450,000 units IM as a stat dose. The available medication is on the following label.

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13. imageA physician orders penicillin G 300,000 units IM. A medication vial containing penicillin G 5,000,000 units is available. Directions for reconstitution state to add 8 mL of sterile water to provide a 500,000 units/mL medication.

14. imageA physician orders penicillin G potassium 125,000 units q6h. The vial contains penicillin G potassium 1,000,000 units. The reconstituted strength is penicillin G potassium 250,000 units/mL.

15. imageA physician orders penicillin G potassium 50,000 units/kg/d in two divided doses for a patient who weighs 220 lb. The available medication is penicillin G potassium 2,000,000 units/mL.

16. imageA physician orders penicillin G benzathine 2,400,000 units IM stat for syphilis. The available medication label reads penicillin G benzathine 600,000 units/mL.

17. imageA physician orders penicillin G IV for severe strep throat for a 66-lb child to prevent strep pneumonia. The normal dose is 150,000 units/kg/day in four divided doses.

18. imageA physician orders Mycostatin 200,000 units at bedtime vaginally for a patient with a Candida infection. The available medication is labeled Mycostatin Vaginal Suppositories 100,000 units.

19. imageA patient is being given prophylactic treatment for rheumatic fever. The physician orders penicillin G benzathine 1,200,000 units qmo for this patient. The medication is available as penicillin G benzathine 300,000 units/mL for IM administration.

20. imageMrs. Jones, an elderly patient, has chronic sinusitis. The physician orders penicillin V 300,000 units po qid. The available medication is penicillin V 400,000 units/5 mL.

Calculating Insulin Doses in Units

Insulin, which is used to control type 1 diabetes mellitus (T1DM) and type 2 diabetes mellitus (T2DM) in some persons whose elevated blood sugar cannot be adequately controlled with oral hypoglycemics, is prescribed and measured in units. Most insulin preparations are only available in U-100 strength, meaning that each milliliter of insulin contains 100 units of medication. Even insulin preparations that are combinations of regular insulin and intermediate-acting insulins are in U-100 specifications. See Figure 11-2 for labels for different insulin preparations.

To administer insulin preparations, insulin syringes that are calibrated in 100 units/mL must be used; no other syringe is based in units for insulin (in an emergency a tuberculin syringe could be used because it is also calculated in hundredths of milliliters). The design of the syringe makes it easy to ensure that the exact dose of medication ordered is administered. Syringes come in 30-, 50, and 100-unit calibrations (Figure 11-3). Some 100-unit insulin syringes are available in two-unit increments, while others are marked in one-unit increments with two-unit increments of odd/even on each side of the syringe barrel. To further complicate matters when preparing insulin for administration, you will find some syringes are in one-unit increments with the markings on the same side of the syringe. Please note that syringes holding a smaller quantity such as 30-unit and 50-unit syringes are in one-unit increments and are easier to use by patients who have visual problems, a common complication of long-term or uncontrolled diabetes mellitus. Insulin syringes should not be used for measuring any medication other than insulin—not even for heparin or antibiotics.

Insulin preparations are also labeled by the type of insulin in the vial. An abbreviation of “R” indicates that the medication is rapid, short-acting, regular insulin. NPH insulin that is intermediate acting with a longer onset of action is marked with “N” (Table 11-1). Care must be taken to ensure that the correct insulin is chosen and delivered to the patient. For that reason, manufacturers have placed large letters on the vials showing the exact type of insulin contained.

TABLE 11.1

Action of Insulin Preparations

INSULIN TYPE LETTER/BOTTLE ONSET PEAK DURATION
QUICK-ACTING
lispro–Humalog   15-30 min 30 min-2.5 hr 3-6.5 hr
aspart–Novolog 10-20 min 1-3 hr 3-5 hr
gluisine–Apidra 10-15 min 1-1.5hr 3-5 hr
SHORT-ACTING
Regular insulin–Humulin R or Novolin R R 30 min-1 hr 1-5 hr 6-10 hr
INTERMEDIATE-ACTING
NPH insulin–Humulin N or Novolin N N 1-2 hr 6-14 hr 16-24 hr
LONG-ACTING
glargine–Lantus 70 min (Last for 24 hr with no evident peak and duration to last to next injection) None, usually a once-per-day insulin preparation 24 hr
detemir–Levemir 6-8 hr 12-24 hr up to 24 hr
COMBINATION
NPH/regular mixtures 50/50 30 min 7-12 hr 16-24 hr
70/30
insulin aspart 70/30      
NPH/lispro 75/25 30 min 7-12 hr 16-24 hr
50/50

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Only regular insulin may be given IV. If different types of insulin need to be administered at the same time, the same source of the insulin such as DNA or recombinant sources must be used together. Different sources of insulin cannot be mixed in the same syringe. If patients are changed from one source of insulin to another or from one manufacturer to another, the dose of insulin may require recalibration because each source of insulin reacts just a little differently.

The order for insulin is always to be administered subcutaneously (except IV use)and in units, such as regular insulin 45 units subcuatneously qam. However, regular insulin and some analogs may be administered intravenously. After the order has been written, the exact medication ordered must be obtained and then drawn into the insulin syringe to the level of units ordered.

Practice Problems B

Using the following labels, choose the correct label and indicate the correct dose on the appropriate syringe. Indicate the syringe to be used by the number of units that can be administered using the chosen syringe. If two types of insulin are necessary to supply the order, indicate the volume of each, as well as the total volume to be administered on separate syringes and label each syringe. Show your calculations. If answers need to be rounded, round to the nearest tenth.

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1. imageA physician orders Humulin N insulin 45 units subcutaneously to be given qam.

2. imageA physician orders Humulin R 30 units subcutaneously 30 min ac for a person with poor eyesight.

3. imageA physician orders Humulin N 55 units subcutaneously qam.

4. imageA physician orders Humulin 70/30 42 units subcutaneously qam.

5. imageA physician orders Humalog 66 units subcutaneously ac.

6. imageA physician orders Novolin R 23 units subcutaneously qam for an elderly patient.

7. imageA physician orders Lantus insulin 52 units subcutaneously hs.*

8. imageA physician orders Humulin R 47 units 30 min ac.

9. imageA physician orders Humulin 50/50 51 units qam.

10. imageA physician orders Humulin 70/30 30 units and Humulin R 22 units qam.

11. imageA physician orders Lantus insulin 23 units and Humulin R 35 units qhs.*

12. imageA physician orders Humulin N 21 units and Humulin R 36 units qam.

13. imageA physician orders Humulin R 24 units and Humulin N 43 units qam.

14. imageA physician orders Lantus 15 units and Humulin R 15 units at bedtime.

15. imageA physician orders Humulin N 36 units and Humulin R 27 units qam.

16. imageA physician orders Humulin 70/30 37 units qam.

17. imageA physician orders Humulin R 15 units and Humulin N 25 units qam.

18. imageA physician orders Humalog 17 units ac.

19. imageA physician orders Humulin 50/50 21 units qam for an elderly person with diminished eyesight.

20. imageA physician orders Humulin N 21 units and Humulin R 21 units qam.


*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

*These abbreviations are found on the TJC Do Not Use List and ISMP’s List of Error-Prone Abbreviations, Symbols, and Dose Designations due to medication safety issues. They should not be used. You are being tested on them here because these abbreviations may still appear in the pharmacy setting.

Calculating Anticoagulant Doses in Units

Heparin is an injectable anticoagulant measured in units. Heparin may be used as a flush for an IV injection site, as an IV infusion additive to keep the IV line patent, or as a deep subcutaneous injection into fatty tissue. The doses for heparin are highly individualized based on body weight and blood coagulation laboratory values. Because heparin prolongs bleeding times, or the time that it takes blood to clot, an accurate dose is of utmost importance. A dose that is larger than necessary may cause hemorrhage, while a dose that is insufficient may not produce the necessary results to prevent clot formation and possible thrombi.

Some low molecular weight heparins, such as Fragmin (dalteparin sodium), are also measured in units, though some, like Lovenox (enoxaparin) are measured on a milligram basis. These do not have the short half-life of heparin. As with heparin, these medications are primarily administered subcutaneously.

Heparin is available in various strengths from 10 units/mL (pediatric heparin flush strengths) to 20,000 units/mL. Injections of heparin for subcutaneous administration should be measured using tuberculin syringes. The dose may be calculated using ratio and proportion, dimensional analysis, or formula methods as found with other dosage calculations.

Using ratio and proportion the equation would appear as follows:

5000units(DA):1mL(Qty)::5000units(DD):x(DG)

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5000x=5000×1mL

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x=1mL(DG)

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Using dimensional analysis the equation would be as follows:

DG=5000units(DD)1×1mL(qty)5000units(DA)

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DG=1mL

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Practice Problems C

Calculate the following medication orders using the labels provided with each practice problem. Round your answers to hundredths for measurement on tuberculin syringes. Indicate the amount of medication on the syringe provided. Show your calculations.

1. imageA physician orders heparin sodium 5000 units subcutaneously.

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2. imageA physician orders heparin sodium 1000 units subcutaneously.

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3. imageA physician orders Fragmin 4000 International units subcutaneously.

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4. imageA physician orders heparin sodium 2500 units subcutaneously to be given stat.

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5. imageA physician orders heparin sodium 17,500 units subcutaneously stat.

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6. imageA physician orders heparin sodium 15,000 units subcutaneously.

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7. imageA physician orders Fragmin 2500 International units subcutaneously stat.

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8. imageA physician orders heparin sodium 12,000 units subcutaneously.

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9. imageA physician orders heparin sodium 7500 units IV stat.

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10. imageA physician orders heparin sodium flush 25 International units IV.

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11. imageA physician orders heparin sodium 1500 units subcutaneously daily.

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12. imageA physician orders heparin sodium 600 units subcutaneously stat.

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13. imageA physician orders Fragmin 6000 International units stat.

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14. imageA physician orders heparin sodium 2250 units IV stat.

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15. imageA physician orders Fragmin 1200 International units subcutaneously stat.

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16. imageA physician orders heparin sodium 10,000 units to be added to IV fluids.

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17. imageA physician orders heparin sodium 6000 units stat.

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18. imageA physician orders heparin sodium 40,000 units added to IV fluids to be given over 12 hours. The available heparin label reads 50,000 units/mL.

19. imageA physician orders heparin sodium 1750 units IV stat.

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20. imageA physician orders heparin sodium 12,500 units subcutaneously stat.

Calculating Medications Measured in Milliequivalents

Chemical compounds in solution may dissociate or detach into particles that carry electrical charges called ions. Dissociated substances are also called electrolytes. For example, potassium (K) carries a positive electrical charge (+), and chlorine (Cl) carries a negative charge (–). When positive K (K+) ions and negative Cl (Cl) ions move in the same direction and combine, potassium chloride (KCl) compound is formed. To begin calculation of the milliequivalent of a compound such as potassium chloride, the atomic weight and the ionic charge of the components of the compound must be known. To obtain this information, a periodic table such as the one found on the inside back cover is used. Looking at the periodic table, you know that potassium has an approximate atomic weight of 39, and chlorine has an approximate atomic weight of 35. Thus the approximate atomic weight of the two elements together is 74 (39 [K] + 35 [Cl] = 74 [KCl]). A milliequivalent represents the amount of active ingredients equal to 1/1000 of the gram equivalent weight of the element or compound. For example, the potassium chloride shown earlier has a molecular weight of 74.5. To find the weight of 1 milliequivalent (mEq), 74 g KCl × 1/1000 = 0.074 g, or 74 mg is one mEq of potassium chloride. A milliequivalent is measured as the grams of a drug dissolved in a volume of solute such as milliliters or liters. Thus when a drug is labeled in milliequivalents (such as potassium chloride 40 mEq/mL), the meaning is that 40 thousandths of a gram (or 40 mg) of potassium chloride are found in 1 mL of solute. Thus if a container of medication shows KCl 40 mEq/mL, the medication has a strength of approximately 2960 mg (40 mEq × 74 [molecular weight]) of KCl per milliliter.

Most electrolytes, such as potassium, sodium, and chlorides, are measured in milliequivalents. Although the metric measurement may be seen on the same label as milliequivalents, a direct conversion between milliequivalents and other measurement systems cannot be made. Either the equivalency of milliequivalents or the metric system measurement must be used for the conversion, but milliequivalents cannot be converted to exact metric equivalences.

Millimole is the term used for calculation of electrolyte concentration in the International System of measurement and is expressed as millimoles per liter (mmol/L). A mole is the molecular weight of a substance in grams, just as found with milliequivalents. Just as with calculation of milliequivalents, the approximate molecular weight of a compound is calculated from the periodic table, and the millimole is the numeric value found when the components of the compound are added. So a millimole and a milliequivalent have the same numeric value because a millimole is 1/1000 of the molecular weight in grams. Therefore the millimole weight of KCl would also be 0.074 g or 74 mg.

As with previous medication calculations, doses for milliequivalents may also be calculated using ratio and proportion, formula method, or dimensional analysis using the information for strength of medication as found on the container. Use the method that is most comfortable for the calculations, and cross out like measurements in formulas.

Practice Problems D

Calculate the following problems using the method for dosage calculation that is most comfortable—ratio and proportion, formula, or dimensional analysis. Indicate the volume of medication on the appropriate syringe. Show all calculations. Round to a measurable dose.

1. imageA physician orders potassium chloride 16 mEq to be added to IV fluids.

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2. imageA physician orders potassium chloride 16 mEq to be added to IV fluids. The label reads 8 mEq/5 mL.

3. imageA physician orders Kaon-Cl 20 mEq po daily.

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4. imageA physician orders Kaon-Cl 80 mEq po daily.

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5. imageA physician orders Kaon-Cl 1 mEq/kg/day po for an elderly adult who weighs 122 lb.

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6. imageA physician orders potassium chloride 36 mEq to be added to IV fluids.

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7. imageA physician orders potassium chloride 13.4 mEq po. The available medication is potassium chloride 6.7 mEq/5 mL.

8. imageA physician orders sodium bicarbonate 3 mEq/kg/q8h IV for a patient weighing 156 lb. The medication is available as sodium bicarbonate 1 mEq/mL.

9. imageA physician orders potassium chloride elixir 20 mEq daily. The available medication is potassium chloride elixir 6.7 mEq/5 mL.

10. imageA physician orders potassium chloride 20 mEq po daily. The available medication is labeled potassium chloride extended release tabs 10 mEq.

11. imageA physician orders potassium chloride 26.8 mEq po daily. The available medication is potassium chloride tabs 13.4 mEq.

12. imageA physician orders potassium chloride elixir 10 mEq po daily. The label on the medication available states potassium chloride elixir 6.7 mEq/tsp.

13. imageA physician orders potassium gluconate 40 mEq po in divided doses qid. The available medication is potassium gluconate 10 mEq tablets.

14. imageA physician orders potassium bicarbonate powder 20 mEq to be dissolved in water for oral administration. The available potassium bicarbonate powder is 10 mEq packets to be dissolved in 5 mL of water.

15. imageA physician orders potassium chloride oral solution 4.75 mEq for a child. The available potassium chloride is labeled 2.375 mEq/5 mL.

16. imageA physician orders KCl 20 mEq to be added to IV fluid.

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17. imageA physician orders magnesium sulfate 150 mEq to be added to IV fluids.

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18. imageA physician orders calcium gluconate 2.325 mEq to be added to IV fluids and administered slowly.

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19. imageA physician orders potassium 22 mEq to be added to IV fluids.

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20. imageA physician orders 10 mEq of KCl be added to 500 mL of D-5-W for infusion.

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Interpreting Medication Dosage in Percentage and Ratio Strength

Medications are also expressed in percentage and in the ratio strength. Percentages and ratios are usually used for liquid and semisolid medications to show the different strengths such as 1% lidocaine (percentage of medication strength in solvent) for injection used for local anesthesia or 1 : 10 sodium hypochlorite solution (ratio of medication strength in solvent) used for cleansing body fluid spills. As with all medications, the label found in percentage or ratio requires reading the total volume amount of medication in the container, as well as the weight strength of the active ingredient or the drug’s concentration in the total amount found in the container for correct interpretation.

When interpreting the labels for percentage medications, the amount of medication is in either weight per weight (solid in solid) such as 1% hydrocortisone cream, weight per volume (solid in liquid) such as 0.9% normal saline solution, or volume per volume (liquid in liquid) such as 70% isopropyl alcohol. In medications that are labeled as weight per weight, the number of grams of solid solute is found in 100 g of solvent.

[%weightweight]=[#grams100grams]

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or 1 g of hydrocortisone is found in 100 g of solvent in a 1% hydrocortisone cream.

With weight per volume, the number of grams of solid solute per 100 mL of solvent is the percentage for the medication.

[%weightweight]=[#grams100mL]

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or 0.9 g of sodium chloride is found in 100 mL of solution in a 0.9% NaCl solution.

When the medication is volume per volume, the number of milliliters of liquid solute in 100 mL of solvent is indicated,

[%weightweight]=[#mL100mL]

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as 70 mL of isopropyl alcohol per 100 mL of solution is expressed as 70% isopropyl alcohol. If the medication is written in ratio strength, the label will read weight per volume (solid in liquid), weight in solid (solid in solid), or volume in volume (liquid in liquid). If hydrogen peroxide reads 2 : 100 were shown on a label, the interpretation would be that 2 mL of hydrogen peroxide is found in 100 mL of the solution.

Percentages and ratios provide a clear means of expressing relationship between a solute and the solvent. These numerical indications furnish the necessary information for the strength of medication that will be administered. The following formula expresses the actual mathematical calculation formula used to provide a percentage relationship:

Percentage=Weightorvolumeofsolute(grams or milliliters of solute)Volume/100 millimeters of prepared solution

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The following formula shows the mathematical calculation for medications expressed as ratios:

Ratio=Weight or volume of solute:Amount of prepared solution

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Practice Problems E

Using the following examples, interpret the meaning of the medication shown or the label for drug strength. On the second line, indicate the weight of active ingredient/100 mL.

1. imageepinephrine solution 1 : 10,000

2. image7.5% magnesium sulfate solution

3. image5% sodium chloride solution

4. image0.5% glycerol solution

5. image1 : 100 potassium permanganate solution

6. image5% formaldehyde solution

7. image1 : 50 Chloraseptic solution

8. image0.04% NaCl solution

9. image1 : 1000 Zephiran chloride solution

10. image4% Lysol solution

Read the following labels and interpret the weight of primary active ingredient on the label as well as the total weight of the active ingredient in the container.

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    Read the following labels, and interpret the weight of primary active ingredient on the label as well as the total weight of the active ingredient in the container (HINT: the first answer in grams and the second in mEq).

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Review

Some medications are labeled in units or milliequivalents for dose preparation. Insulin, anticoagulants, and some antimicrobial agents are found in units per milliliter and can be calculated using formula (Dose desired/Dose on hand × Quantity = Dose to be given), dimensional analysis method, or ratio and proportion to calculate the ordered volume of medication. Insulin products come in many different preparations, as do penicillin and heparin products. As the person preparing the medication, you must read the label and physician’s order carefully, and prepare the medication that has been ordered for administration in the proper strength/dosage.

Medications in milliequivalents may be in solid or liquid form. As with those medications found in units, the important aspect is to read the label exactly for the correct dosage strength. Percentages and ratios are used for the amount of solute, whether solid or liquid, in a solvent. The percentage amount shows the active ingredient or solute weight in 100 mL of solvent. Ratio shows the total amount of liquid or solid solute in a total amount of prepared medication. When using medications found in percentage or ratio formulas, the amount of medication will be designated by the given medication ratio or percentage. As mentioned previously, reading labels for the medication strength is the critical step in medication preparation.

Posttest

Before taking the Posttest, retake the Pretest to check your understanding of the materials presented in this chapter.

Calculate the following problems using the correct formula for each situation provided. If measuring device(s) for administration are included, indicate the volume of medication on the appropriate measuring device(s). Show all of your calculations. Round to the nearest tenth, unless the answer is less than 1 mL, then round to the nearest hundredth.

image 1 A patient is being treated prophylactically for rheumatic fever. The physician orders penicillin G benzathine 900,000 units qmo. The medication available is penicillin G benzathine 300,000 units/mL.

image 2 A physician orders potassium bicarbonate powder 15 mEq to be dissolved in water for administration. The available potassium bicarbonate powder is 10 mEq per packet to be dissolved in 5 mL.

image 3 A physician orders heparin sodium 7500 units subcutaneously stat.

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image 4 A physician orders Humalog 12 units ac.

image 5 A physician orders Duracillin A.S. 600,000 units IM bid for a patient with a severe infection. The available medication is shown on the following label.

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image 6 A physician orders Fragmin 5000 International units subcutaneously.

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image 7 A physician orders penicillin V oral suspension 275,000 units po qid. The medication available is penicillin V oral suspension 400,000 units/5 mL.

image 8 A physician orders Humulin 70/30 19 units qam for an elderly patient.

image 9 A physician orders potassium chloride 12 mEq IV. The label reads 8 mEq/5 mL.

image 10 A physician orders heparin sodium 12,000 units subcutaneously stat.

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image 11 A physician orders Humulin N 21 units and Humulin R 36 units qam.

image 12 A physician orders Humulin 70/30 26 units and Humulin R 14 units qam 30 min ac breakfast.

image 13 A physician orders KCl 25 mEq to be added to 1000 mL D-5-W.

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image 14 A physician orders penicillin G potassium 250,000 units IM bid for a patient with strep throat.

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image 15 A patient is to receive Fragmin 2500 international units subcutaneously daily. The label reads Fragmin 10,000 international units/mL.

image 16 A physician orders Humulin N 30 units for a patient qam. The vial of medication contains 10 mL. No insulin syringe is available to measure this amount of medication today, but a tuberculin syringe is available and can be used because no insulin syringe is available for immediate use. The physician has approved use of a tuberculin syringe.

image 17 A physician orders KCl 30 mEq daily for a patient who is taking Lasix daily. The medication available is KCl 10 mEq tablets.

image 18 A physician orders Duracillin 500,000 units IM. A 10-mL vial of Duracillin 300,000 units/mL is the medication on hand.

image 19 A physician orders regular insulin 70 units to be added to a liter of D-5-W.

image 20 A physician orders penicillin G procaine 750,000 units IM stat and then 600,000 units bid. The following label is the medication available for this order.

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Review of Rules

Calculations of Medications Measured in Units and Milliequivalents

Interpreting Medications in Percentage and Ratio Concentrations

• Percentage and ratio solutions are expressed to indicate the weight of solute found in the solvent.

• The solute is an active ingredient found in either a solid or liquid solvent.

• The percentage would be amount of solute found in 100 mL or 100 g of solvent.

• The ratio would be the amount of medication found in a total prepared volume of solution, usually milliliters.

• Percentage is expressed using % as an indication of the amount of active ingredient in a medication. The ratio is divided by a colon (:) to separate the solute and solvent.

• To calculate the amount of drug in the prepared solution, write the solution strength as a ratio to show the amount of medication found in the total solution. (Refer to Chapter 2 if necessary to review percentage and ratio.)

• To calculate the ratio in a medication preparation, whether solid, semi-solid, or liquid, the total amount of prepared medication minus the amount of solute equals the amount of solvent that should be added for the total volume desired.

• The following formula expresses the actual mathematical formula that would be used to provide a percentage relationship:

Percentage=Weight or volume of solute(grams or milliliters of solute)Volume/100 millimeters of prepared solution

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• The formula below shows the mathematical calculation for medications expressed as ratios:

Ratio=Weight or volume of solute:Amount of prepared medication

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