Calculate Doses of Oral and Parenteral Liquid Medications

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Chapter 8

Calculate Doses of Oral and Parenteral Liquid Medications

Key Words

Pretest

Interpret each medical order that follows. Show all of your mathematical calculations. Round answers to nearest tenth.

image 1 A physician orders Ceclor 250 mg po tid for a child with otitis media.

image 2 A physician orders Atarax Syrup 15 mg po qid.

image 3 A physician orders Tylenol gr v q4h prn fever and aches for a child who has a high fever. The drug available is Tylenol elixir 160 mg/tsp.

image 4 A physician orders Amoxil 62.5 mg po tid for an infant. The drug available is 125 mg/5 mL.

image 5 Using the medication order in question No. 4, what amount of medication should be administered in the household measurement? ____________________

image 6 A physician orders Zofran 2 mg IM to be given 30 minutes before the treatment for a chemotherapy patient. The drug dosage available is Zofran 2 mg/mL.

image 7 A physician orders Ticar 500 mg IM bid. The reconstituted strength of the medication is 1 gm/2.6 mL.

image 8 The physician orders vitamin B12 1000 mcg IM qwk. The available drug dosage is 1 mg/mL.

image 9 A physician orders meperidine 75 mg IM stat for a patient who has had cardiac surgery. The drug dosage available is meperidine 50 mg/mL.

image 10 A physician orders 50 mg of meperidine and 25 mg of promethazine IM q4-6h prn for a postsurgical patient with pain and nausea. The drug dosage available is meperidine 75 mg/mL and promethazine 25 mg/mL.

image 11 Ordered medication: amoxicillin 375 mg po tid

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image 12 Ordered medication: streptomycin 750 mg IM

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image 13 Ordered medication: codeine phosphate gr i subcutaneous q4h prn

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image 14 Ordered medication: Mycostatin 500,000 units po tid

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image 15 Ordered medication: erythromycin 0.3 gm po tid

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image 16 Ordered medication: phenobarbital 30 mg po hs*

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image 17 Ordered medication: Prozac 10 mg po qam

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image 18 Ordered medication: Benadryl 25 mg po prn

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image 19 Ordered medication: morphine sulfate gr 1/10 IV q4h

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image 20 Ordered medication: Colace syrup 80 mg po at bedtime

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*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.

Introduction

For some patients, solid medications such as tablets and capsules are difficult to swallow, and the physician will order oral liquid preparations. These preparations are usually stated in weight or strength/volume such as milligrams/milliliter. Because liquid medications may be dispensed in either drams from the apothecary system or teaspoons in the household measurement system, conversions among all three measurement systems are often required for dispensing or administering the prescription as written. As with solid medications, these conversions may be accomplished by either ratio and proportion or dimensional analysis. If ratio and proportion is used, then the formula method may be used for preparation of the medication for dispensing. If dimensional analysis is used, the conversion among systems may be accomplished by use of additional ratios for conversion in the equation. Thus the entire conversion and calculation may be completed with one elongated proportional step. (Examples are shown later in this chapter.) Some medications for oral administration are prepared in a powder form for reconstitution to a liquid form before dispensing—the subject of Chapter 9.

Injectable medications may be given when a person is unable to swallow solid medications or when a quicker effect is necessary. Parenteral medications are given by injection into body tissue and may also be given intravenously or directly into the bloodstream. Because solid medications cannot be injected under the skin except as special intradermal forms such as pellets, most injectable medications must be in liquid form. As with oral liquid medications, some parenteral medications come in powders for injection, requiring reconstitution before administration. These medications usually will not be stable in liquid form for an extended period, so they must be handled for stability at the time of administration (reconstitution of parenteral medications is discussed in Chapter 9).

Calculation Of Oral Liquid Medications

Oral medications are available in solid form as discussed in the previous chapter and in liquid form as discussed in this chapter. When oral medications are given in a liquid form, the absorption is usually faster because solids have to dissolve before absorption. The absorption of a medicine is controlled, in part, by the dosage form administered. Most oral medications are absorbed in the small intestine, although some are absorbed beginning in the mouth or stomach. These medications may be administered with oral syringes that are available in 1-mL, 5-mL, and 10-mL sizes (Figure 8-1), a medication cup (Figure 8-2), a dropper that is available in different measurements and is usually tailored by the manufacturer for a specific drug (Figure 8-3), dosage spoons (Figure 8-4), or by using household devices such as teaspoons and tablespoons. The newest form of administration of oral liquid medications is through a nipple or with a pacifier that will hold a measured amount of medication (Figure 8-5). The choice of administration implement for oral liquid medications depends on the volume of medication to be administered and the availability of supplies. Medication cups are found in institutional settings, whereas droppers and oral syringes may be used either in institutions or at home. Teaspoons and tablespoons are the measurements occasionally used for larger doses in the home setting or when the calibrated utensils are not available. The use of kitchen utensils is usually discouraged, because oral syringes and calibrated cups are more accurate.

Liquid medications may be found in tinctures, elixirs, suspensions, and syrups, some of which may be irritating to the gastric system and must be diluted before administration. Some medications such as cough syrups should not be diluted even after the administration; therefore the information about the medication and its use and proper administration is necessary before administering a dose or providing patient education.

Liquid drug preparations are labeled with the strength of the drug (such as milligrams) in the total volume (such as milliliters) of the liquid. Remember that liquid medications may be expressed in metric (milliliters, cubic centimeters, and liters), apothecary (drams and minims), and household (teaspoons, tablespoons, pints, and the like) measurement systems. Doses of medication are also calculated based on strength/volume. This fact is then used to prepare liquid medications for administration. For example, a physician may order amoxicillin 500 mg to be given to a child who requires a liquid dosage form. The medication on hand is amoxicillin 250 mg (weight or strength) per 5 mL (volume). In this case the known amounts will be placed into the formula, ratio and proportion, or dimensional analysis equations for preparing the correct amount of medication. If you need to review the formulas for any of these ways of ascertaining the correct dose to be given or if you need to review the safety measures necessary for medication preparation and administration, return to Chapter 7.

As with the previous chapter, you will calculate doses for competency. You must remember that dose is the amount of medication to be administered at a specific given time, whereas dosage (to be discussed in Chapter 14) is the total amount of medication that will be administered over a particular length of time. Again, as a reminder, the label on the medication must be in the same system of measurement as that found on the prescription or medication order. If these do not agree, conversion should be accomplished to the system found on the label. Also, be sure the medication names are exactly the same, because many drug names look and sound alike.

Calculating Oral Liquid Medications Using Ratio and Proportion

As you learned in Chapter 7, when using the ratio and proportion method of drug calculation, the dose available (DA) and the dosage form (DF) must be one ratio, and the dose ordered (DO) and dose to be given (DG) must be the other ratio in the proportion. With liquids, DF and DG will be in volume, whereas DA and DO will be in strength or weight of drug.

Try another medication order as an example. Because most oral liquid medications must be calculated to the metric system, the examples are in the metric system.

Calculating Oral Liquid Medications Using Dimensional Analysis

Remember that dimensional analysis is really just an elongated form of ratio and proportion using fractional components. To review dimensional analysis as a means of calculating doses, please review Chapter 5. The problem in Example 8-1 would appear as follows for calculation with dimensional analysis:

Calculating Oral Liquid Medications Using the Formula Method

Remember that the formula method is another means for calculating doses of medications. As with ratio and proportion methods of dosage calculations, the units in the formula are replaced with the desired and known factors. As a review, the formula is as follows:

DD(Dose desired)DH(Dose on hand)×Qty(Quantity/Volume or DF)=DG

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Although quantity for oral solid measurements is in capsules or tablets, the quantity in oral liquid medications will be in liquid form, usually in milliliters (mL) in the metric system or teaspoons (tsp) or tablespoons (tbsp) in the household system. The use of dram (image) in the apothecary system may be used to write prescriptions, but this would not be used when providing the instructions on a medication label for home use. Now take the same problems seen before and calculate using the formula method.

Using a Medication Cup and Oral Syringe to Measure Oral Liquid Medications

When measuring oral liquid medications using a medicine cup, read the line of the medication to the meniscus at eye level. The meniscus is the curved line that develops on the cup when a medication is poured into the container (Figure 8-6). For medications that must be more accurately measured, an oral syringe should be used. With the oral syringe, the accurate dose is measured from 0.1 mL dose increments in the 1-mL syringe. In the 5-mL and 10-mL oral syringes the increments are in 0.2 mL.

Practice Problems A

Calculate the following medication orders and answer the questions listed. If there is a dispensing device shown, draw the medication to the correct volume. Show your calculations.

Remember to use the method of calculation and conversion that is most comfortable for you. Choose one conversion system and continue to use it when doing drug calculations.

 1. imageOrdered medication: dicloxacillin suspension 100 mg po bid

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2. imageMedication order: phenobarbital elixir 60 mg po qid

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3. imagePrescribed: Diflucan suspension 35 mg po daily

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4. imagePrescribed: cephalexin oral suspension 62.5 mg po tid image food

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5. imagePrescribed: docusate sodium syrup 100 mg hs prn dry hard stools

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6. imagePrescribed: ranitidine syrup 150 mg bid q12h

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7. imagePrescribed: fluoxetine oral solution 10 mg po bid

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8. imagePrescribed: Vibramycin oral suspension 150 mg stat and then 75 mg q12h

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9. imagePrescribed: Lanoxin elixir 75 mcg bid if P ↑ 60

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10. imagePrescribed: Mellaril oral solution 45 mg bid q12h

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11. imagePrescribed: amoxicillin oral suspension 375 mg tid q8h

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12. imagePrescribed: Vancocin HCl oral solution 250 mg bid for bacterial infection

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13. imagePrescribed: loracarbef oral suspension 160 mg bid for acute bronchitis

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14. imagePrescribed: cefaclor oral suspension 250 mg tid image food

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15. imagePrescribed: Duricef oral suspension 0.5 g q6h image food

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16. imagePrescribed: amoxicillin/clavulanate potassium oral suspension 0.75 g daily in three divided doses

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17. imagePrescribed: cephalexin oral suspension 0.375 g tid

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18. imagePrescribed: acetaminophen 60 mg q4h prn fever and aching

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19. imagePrescribed: V-Cillin K oral suspension 100,000 Units qid image food

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20. imagePrescribed: Lorabid oral suspension 50 mg bid

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Calculating Parenteral Medications In Vials And Ampules

Parenteral medications are those administered outside the gastrointestinal tract and are usually considered to be those given by injection. These medications may be given directly into the bloodstream (intravenous), into the muscle (intramuscular), beneath the skin (subcutaneous or intradermal) through appropriate parenteral routes. When medications are administered by these means, absorption is typically faster than with most oral medications, with the exception of some slow-release or depot injectables. For the person who cannot swallow medications taken orally or for medications that cannot be administered orally because of absorption incompatibilities, the parenteral route of administration may be used.

Parenteral medications are available in ampules and vials (Figure 8-7) and are most often prepared as a liquid either in an aqueous or oil base by the drug manufacturer. Other medications that are not stable in the liquid form come in powders and crystals that must be reconstituted to a liquid form before being given parenterally. (Chapter 9 discusses the reconstitution of medications.)

As with oral liquid medications, parenteral medications are identified on the container as the strength of the medication in a specific volume of liquid. The strength is usually provided in the metric system—milligrams, grams, and micrograms—and usually in milliliters for volume. The apothecary system’s units of grains per milliliter may also be used, although this is not as common today as previously. (International units are found with some medications, and this unit of measurement is discussed in Chapter 11.)

Some parenterals will also be expressed in percentage strength, but they will usually also have the drug strength per volume in metric measures included on the label. Large doses of parenteral medications may be drawn into syringes holding larger volumes such as 5 mL, 10 mL, 20 mL, and 50 mL per syringe. Tuberculin syringes are calibrated in 0.01-mL increments. Three-milliliter syringes have increments of 0.1 mL. Five-milliliter syringes may have indications for 0.1 or 0.2 mL, whereas the larger syringe volumes are usually marked with 0.2-mL increments except in syringes holding more than 20 ML and depending on the total volume that can be measured in the specific syringe. The choice of syringe size is based on the amount of medication that is to be administered.

Once the parenteral medication has been calculated, the correct syringe must be chosen according to the volume of medication to be administered. If the volume of medication has a dose of less than 0.1 mL or is in increments of tenths of a mL, such as 0.25 mL, it should be measured with a tuberculin syringe (Figure 8-8). Syringes for larger volumes are chosen by the amount of medication to be either administered or added to intravenous fluids. A 3-mL syringe is the usual choice for medication volumes between 1 mL and 3 mL or when medications can be measured in tenths of milliliter above 0.1 mL, such as 0.3 mL or 1.9 mL (Figure 8-9). As seen in this figure, on some syringes that are manufactured with the needle attached, the needle has a safety cap as required by Occupational Safety and Health Administration regulations. The measurement of medications in larger syringes is not as accurate and is shown in 0.2 mL (Figure 8-10). The selection of the correct syringe depends on the volume of medication dose and the precision of the accurate dose. Note that medication volumes are measured with the bottom of the rubber stopper of the plunger placed at the calibration mark of the syringe for the correct fluid level of the medication. For example, in Figure 8-11 the volume would be 1.7 mL and in Figure 8-12 the volume would be 2.3 mL.

Drugs in vials—those sealed with a rubber-top—are for single- or multiple-dose use, whereas ampules—sealed glass containers—are for single doses. Powders for reconstitution may be in either multiple-dose or single-dose vials or even in Act-O-Vials (Figure 8-13). Ampules contain only single doses of medications and should never be “saved” for future use because no means are available to ensure maintenance of sterility. Liquids used for reconstitution may be supplied in either vials or ampules as designated by the manufacturer.

When looking at the label for liquid injectable medications in vials, you will find that the labels appear similar to the labels for oral liquid medications, but the total dose amount of medication for administration will generally be a smaller volume or the solution will be more concentrated. Because medications given by injection under the skin or into muscle can be only small amounts, the total volume of medication for injectables will most likely be 0.5 mL to 3 mL. Larger volumes of medication (>3 mL) are not easily absorbed in the muscle or subcutaneous tissue; therefore these amounts must be divided into smaller individual doses that require multiple injection sites.

The rules for calculating parenteral doses are the same as those for oral liquid medications. The same formulas are used, and the calculations are the same except usually the dose volume is not as large. Importantly, when parenteral medications are calculated, the correct strength of medication per volume is used in the calculation, not the total volume of the container unless the container is a single-use ampule or vial.

Practice Problems C

Use the method of calculation with which you are most comfortable to complete these problems. Refer to the formulas found with oral liquid medications as needed, but use only one method until proficiency has been met. If you need assistance converting within a measurement system or among measurement systems, refer to Chapters 4 and 5. As always, show your calculations.

1. imagePrescribed: morphine sulfate 15 mg IM q4h prn pain

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2. image imagePrescribed: prochlorperazine 10 mg IM q6h prn N&V

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3. imagePrescribed: tobramycin 60 mg IM q8h

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4. imagePrescribed: vitamin B12 0.2 mg IM qwk

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5. imagePrescribed: meperidine 75 mg IM q4-6h prn pain

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6. imagePrescribed: benztropine mesylate 1 mg IM daily

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7. imagePrescribed: Cogentin 1.5 mg IM daily

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8. image imageDose ordered: AquaMEPHYTON 2 mg stat

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9. imagePrescribed: Amikin 250 mg IM q8h

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10. imagePrescribed: Kantrex 125 mg IM q12h until discontinued

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11. image imageimagePrescribed: Vistaril 75 mg and meperidine 50 mg IM q6h prn pain

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12. image Prescribed: Cleocin phosphate 0.25 g IM stat then q8h

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13. imagePrescribed: lincomycin 0.45 g IM stat

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14. imagePrescribed: Solu-Cortef 125 mg IM stat

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15. imagePrescribed: Depo-Provera 0.3 g IM qmo

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16. imagePrescribed: Luminal gr image IM prn rest

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17. imagePrescribed: codeine phosphate gr image IM prn pain

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18. imagePrescribed: phenobarbital sodium gr image IM q4h prn agitation

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19. imagePrescribed: aminophylline 125 mg IV q6h

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20. imagePrescribed: Tagamet 75 mg IM q6h

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Review

As with the previous chapter, on the calculation of oral solid medications, this chapter shows how to calculate the dose desired for parenteral and oral liquid medications. The same methods for calculation—ratio and proportion, dimensional analysis, and formula methods—are used for these calculations. These medications are then dispensed in the measurements for liquids in the three systems—metric, household, and apothecary. Conversions for the correct volume of medication depend on the measurement system to be used for administration. The household system is often used for home delivery of oral medications: when a more accurate utensil for administration is not provided. The metric and apothecary systems are most often used with inpatient settings, especially with parenteral medications. If the medication is to be given parenterally, the correct syringe and needle must be chosen. Liquid oral medications may be administered from a medicine cup, dose spoon, dose syringe, medicine dropper, or medication pacifier depending on the volume of medication and the age and ability to take medication of the patients. In some instances, liquid medications may be combined with oral or with parenteral administration. In those instances the correct dose amount for each medication must be properly calculated and prepared in the appropriate administration container. As with all medications, the proper calculation and appropriate containers for parenteral and oral liquid medications are important for patient safety. Patient safety should always be the utmost concern when preparing and delivering medications.

Posttest

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

Using the following labels, interpret the orders and calculate the ordered medications. Figure the dose to be given in the dose form and indicate the form in the answer. Show all calculations. Round to the nearest tenth after completing all calculations, unless marked with an asterisk, and then round to the nearest hundredths. Always be sure the answer is a measurable volume.

1. imagePrescribed: Stadol 1 mg stat then q4h

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2. imagePrescribed: phenobarbital elixir gr image q4h for epilepsy

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3. imagePrescribed: penicillin V potassium oral solution 0.25 g po qid

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4. imagePrescribed: Keflex oral suspension 32 mg q6h

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5. imagePrescribed: Garamycin 0.06 g IM q8h

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6. imagePrescribed: scopolamine gr 1/150 subcutaneously 30 min before surgery

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7. imagePrescribed: Solu-Medrol 37.5 mg IM stat

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8. imagePrescribed: Mellaril oral solution 45 mg bid

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9. imagePrescribed: diazepam 2 mg IM stat and then q6h prn for anxiety

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10. imagePrescribed: amoxicillin oral suspension 125 mg q8h

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11. imagePrescribed: Zantac syrup 75 mg bid 30 min ac meals

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12. imagePrescribed: Cipro 0.4 g IV q12h

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13. imagePrescribed: Dilaudid 500 mcg IM q4h prn severe pain

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14. imagePrescribed: digoxin 0.1 mg IM stat then daily

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15. imagePrescribed: Duricef 750 mg po stat then 0.5 g q12h

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16. imagePrescribed: dicloxacillin suspension 100 mg po q6h for acute bronchitis

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17. imagePrescribed: secobarbital sodium gr image IM prn sleep

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18. imagePrescribed: Garamycin 30 mg IM q8h

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19. image image Lasix 20 mg IM q4h

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20. image meperidine 50 mg IM q4h prn pain

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Review of Rules

Calculating Parenteral Medications

• Calculations for parenteral medications may be accomplished using ratio and proportion, dimensional analysis, or formula methods.

• Before beginning calculations of liquid medications, be sure the dose desired and the dose available are in the same measurement system. If the measurement systems are different, convert to the measurement system that is on the label of available medication.

• Liquid medication quantities are usually given in the strength of medication in the volume of solvent or the liquid amount. This proportion will vary with each liquid medication depending on how it is manufactured. You must carefully read the quantity of medication on each label.

• Liquid medications found on prescriptions for household administration are often converted to household measurements for dispensing unless a specific dispensing utensil is provided by the manufacturer or pharmacy.

• Medication orders and prescriptions for oral liquid medications can be calculated using the ratio and proportion, dimensional analysis, or formula method.

• To solve using the ratio and proportion method, set the known measurements in the equation with the unknown correctly placed in the equation. The following change in the ratio and proportion is necessary for liquid medications:

DA:DF::DO:DG

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• Dimensional analysis is an extended method of ratio and proportion placed in fractional units. See the rules at the end of Chapter 5 for a review of this means of solving dosage.

• The formula method uses the same formula as found in Chapter 7. In the case of liquid preparations, the quantity will vary with each medication. Manufacturers provide the strength of medication in a volume (qty). Be sure that the measurement system for the dose desired and the dose on hand are the same, but remember that the quantity may vary in measurement system (e.g., the medication strength may be in milligrams, but the quantity may be in either teaspoons, milliliters, or drams).

• Calculate the problem with the method that is most comfortable for you, but be consistent in the calculation technique.