Sample Problems:
1. A physician prescribes 10 mEq of potassium
                                                                   chloride for a patient. How many milligrams of
Electrolyte Preparations                                           KCl would provide the prescribed quantity?
    ● Are used in the treatment of disturbances of the
       electrolyte and fluid balance in the body.
    ● They are provided by the pharmacy as oral
       solutions, syrups, tablets, capsules, and, when
       necessary, intravenous infusions.
Electrolyte Solutions
                                                               2. A physician prescribes 3 mEq/kg of NaCl to be
    ● Electrolyte ions in the blood plasma include the            administered to a 165-lb patient. How many
       cations Na+, K+, Ca2+, and Mg2+ and the anions              milliliters of a half–normal saline solution
       Cl−, HCO3−, HPO4 2−, SO4 2−, organic acids,                 (0.45% NaCl) should be administered?
       and protein.
    ● Electrolytes in body fluids play an important role
       in maintaining the acid-base balance.
    ● They also play a part in controlling body water
       volumes and help regulate metabolism.
Milliequivalents (mEq)
    ● is used almost exclusively in the United States
       by clinicians, physicians, pharmacists, and
       manufacturers to express the concentration of
       electrolytes in solution.                               3. What is the concentration, in milligrams per
    ● This unit of measure is related to the total                milliliter, of a solution containing 2 mEq of
       number of ionic charges in solution, and it takes           potassium chloride (KCl) per milliliter?
       note of the valence of the ions.
    ● a unit of measurement of the amount of
       chemical activity of an electrolyte.
    Formula:
                                 𝑀𝑊
                                𝑉𝑎𝑙𝑒𝑛𝑐𝑒
                   1 𝑚𝐸𝑞 =      1000
                                                               4. What is the concentration, in grams per
                                                                   milliliter, of a solution containing 4 mEq of
                                                                   calcium chloride (CaCl2 · 2H2O) per milliliter?
Millimoles                                                Osmolarity
   ● A mole is the molecular weight of a substance in       ● Osmotic pressure is proportional to the total
      grams.                                                    number of particles in solution. The unit used to
   ● A millimole is one-thousandth of a mole and is,           measure osmotic concentration is the
      therefore, the molecular weight of a substance            milliosmole (mOsmol).
      in milligrams.                                         ● For dextrose, a nonelectrolyte, 1 mmol (1
                                                                formula weight in milligrams) represents 1
   Formula:
                                                                mOsmol.
                               𝑀𝑊
                   1 𝑚𝑚𝑜𝑙 =    1000                          Milliosmoles
Sample Problems:                                             Formula:
                                                                                           𝑔
   1. How many millimoles of monobasic sodium                          𝑊𝑡. 𝑜𝑓 𝑠𝑢𝑏𝑠𝑡𝑎𝑛𝑐𝑒 ( 𝐿 )
                                                          𝑚𝑂𝑠𝑚𝑜𝑙 =      𝑀𝑜𝑙𝑒𝑐𝑢𝑙𝑎𝑟 𝑤𝑒𝑖𝑔ℎ𝑡 (𝑔)
                                                                                                 𝑥 𝑁𝑜. 𝑜𝑓 𝑠𝑝𝑒𝑐𝑖𝑒𝑠 𝑥 1000
       phosphate monohydrate (m.w. 138) are present
       in 100 g of the substance?
                                                          Sample Problems:
                                                             1. A solution contains 10% of anhydrous dextrose
                                                                 in water for injection. How many milliosmoles
                                                                 per liter are represented by this concentration?
                                                                 Molecular weight of anhydrous dextrose = 180
   2. What is the weight, in milligrams, of 5 mmol of
       potassium phosphate dibasic (m.w. 174)?
                                                             2. Calculate the osmolarity, in milliosmoles per
                                                                 liter, of a parenteral solution containing 2
                                                                 mEq/mL of potassium acetate (KC 2H3O2—
                                                                 m.w. 98).
   3. If lactated Ringer’s injection contains 20 mg of
       calcium chloride dihydrate (CaCl2 · 2H2O) m.w
       147 in each 100 mL, calculate the millimoles of
       calcium present in 1 L of lactated Ringer’s
       injection.                                            3. What is the osmolarity of an 8.4% w/v solution
                                                                 of sodium bicarbonate( m.w. 84)?
                                                          Sample Problems:
1. A veterinarian ordered a liter of Hartmann’s
    Irrigation (lactated Ringer’s irrigation) with the
    following formula: (25 points)
    Sodium chloride                               600
    mg
    Sodium lactate                                 310
    mg                                                   Osmosis
    Potassium chloride                              30      ● when       a    solvent     passes    through a
    mg                                                         semi-permeable membrane from a dilute
    Calcium chloride, dihydrate                     20         solution into a more concentrated one, the
    mg                                                         concentration becomes equalized.
    Water for injection, ad                        100      ● The pressure responsible for this phenomenon
    mL                                                         is termed osmotic pressure and varies with the
                                                               nature of the solute.
    Calculate the mOsmol/L of Na+ , K+ , Ca2 + , Cl−        ● If the solute is non-electrolyte, its solution
    , and C3H5O3 −.                                            contains only molecules and the osmotic
                                                               pressure varies with the concentration of the
                                                               solute. If the solute is an electrolyte, its solution
                                                               contains ions and the osmotic pressure varies
                                                               with the both the concentration of the solute
                                                               and its degree of dissociation.
                                                         Isotonic – a solution having the same osmotic pressure
                                                         as the specific body fluid.
                                                         Hypotonic – solutions of lower osmotic pressure with
                                                         the body fluid.
                                                         Hypertonic – solutions having higher osmotic pressure
2. How many (a) millimoles, (b) milliequivalents,
                                                         with the body fluid.
    and (c) milliosmoles of calcium gluconate
    (Ca(C6H11O7 )2— m.w. 430) are represented in
    15 mL of a 10% w/v calcium gluconate solution?
                                                         Example: Calculation of the Factor
                                                            1. Ferrous Sulfate is a 2 ion electrolyte,
                                                                dissociating 60% in a certain concentration.
                                                                Calculate its dissociation (i) factor.
   2. Sodium Carbonate dissociates in a certain                  2. Morphine sulfate (mw=759) is a 3-ion
       concentration at 70%. Calculate its dissociation               electrolyte, dissociating 60% in a concentration.
       (i) factor.                                                    Calculate the sodium chloride equivalent.
   ● Most medicinal salts approximate the                     Procedure in the calculation of isotonic solutions with
      dissociation of sodium chloride in weak                  NaCl equivalents:
      solutions. If the number of ions is known, we
      may use the following values:                               1.   Calculate the amount in grams of sodium
      Non-electrolytes and subs of slight dissociation:                 chloride represented by the ingredients in the
      1.0 Subs. that dissociate in to 2 ions: 1.8                       prescription. Multiply the amount in grams of
                                      3 ions: 2.6                       each substance by its sodium chloride
                                      4 ions: 3.4                       equivalent.
                                      5 ions: 4.2
                                                                  2.   Calculate the amount in grams of sodium
Calculations of the NaCl equivalent:                                    chloride alone, that would be contained in an
                                                                        isotonic solution of the volume specified in the
Formula:                                                                prescription, namely, the amount of sodium
    𝑀𝑊 𝑜𝑓 𝑁𝑎𝐶𝑙
                    ×
                        𝑖 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 𝑆𝑢𝑏𝑠
                                           = 𝑁𝑎𝐶𝑙 𝑒𝑞𝑢𝑖𝑣𝑎𝑙𝑒𝑛𝑡            chloride in a 0.9% solution of the specified
 𝑖 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 𝑁𝑎𝐶𝑙          𝑀𝑊 𝑜𝑓 𝑆𝑢𝑏𝑠
                                                                        volume.
Examples:
                                                                  3.   Subtract the amount of sodium chloride
   1. Ephedrine hydrochloride (mw= 202) is a 2-ion                     represented by the ingredients in the
       electrolyte, dissociating 75% in a given                         prescription (Step 1) from the amount of
       concentration. Calculate the sodium chloride                     sodium chloride, alone, that would be
       content.                                                         represented in the specific volume of an
                                                                        isotonic solution (Step 2). The answer
                                                                        represents the amount (in grams) of sodium
                                                                        chloride to be added to make the isotonic
                                                                        solution.
                                                                  4.   If an agent other than sodium chloride, such as
                                                                        boric acid, dextrose or potassium nitrate is to be
                                                                        used to make a solution isotonic, divide the
                                                                        amount of sodium chloride (Step 3) by the
         sodium chloride equivalent of the other
         substance.
Example Calculations of tonicic agent required:           Using an isotonic Sodium chloride to prepare other
                                                          isotonic solutions:
   1.   Rx Cocaine hydrochloride         0.6
         Eucatropine hydrochloride        0.6             A 0.9% w/v sodium chloride solution may be used to
         Chlorobutanol                    0.1             compound isotonic solutions of other substances as
         Sodium chloride                  q.s.            follows:
         Purified water ad                30
         Make isoton. Sol.
         Sig. For the eye.                                Step 1: Calculate the quantity of the drug substance
                                                          needed to fill the prescription or medication order.
         How many grams of sodium chloride should be
         used in compounding the prescription?
                                                          Step 2: Use the following equation to calculate the
                                                          volume of water needed to render a solution of the
                                                          drug substance isotonic.
                                                                          '
                                                          𝑔 𝑜𝑓 𝑑𝑟𝑢𝑔 ×𝑑𝑟𝑢𝑔 𝑠 𝐸 𝑣𝑎𝑙𝑢𝑒
                                                                   0.0009
                                                                                            = 𝑚𝐿 𝑜𝑓 𝑤𝑎𝑡𝑒𝑟 𝑛𝑒𝑒𝑑𝑒𝑑 𝑡𝑜 𝑚𝑎𝑘𝑒
                                                          Step 3: Calculate the volume 0.9% w/v sodium chloride
                                                          solution to complete the required volume of the
                                                          prescription or medication order.
                                                          Example:
   2. Rx Tetracaine hydrochloride       0.1                  1.         Rx          Phenylephrine   hydrochloride
         Zinc sulfate                    0.05                       1%
         Boric acid                      q.s.                       Chlorobutanol
         Purified water ad               30                         0.5%
         Make isoton. Sol.                                          Sodium                                 chloride
         Sig. Drop in eye                                           q.s.
                                                                    Purified                  water             ad
         How many grams of boric acid should be used in             15
         compounding the prescription?                              Make isoton. Sol.
                                                                    Sig: Use as directed
                                                                    How many mL of a 0.9% solution of sodium
                                                                    chloride should be used in compounding the
                                                                    prescription?
Freezing Point Data in Isotonicity Calculations
Freezing point data (∆Tƒ)
                                                           How is HLB Values computed?
    ● can be used in isotonicity calculations when the
        agent has a tonicic effect and does not               ● The systematic choice of emulsifying agents in
        penetrate the biologic membranes in question.             the formulation of many emulsion systems
        The freezing point of both blood and lacrimal             depends          on          their       HLB
        fluid is -0.52°C. A pharmaceutical solution that          (hydrophile-Lipophile-Balance) values. These
        has a freezing pt same with the blood is said to          values form the basis of the so-called HLB
        be isotonic.                                              system, which was developed by Griffin.
                                                           The system presupposes a scale of HLB numbers and is
    1. How     many milligrams of Naphazoline             based on the facts…
        hydrochloride and sodium chloride are needed
        to produce 75 mL of 1% isotonic solution with         1. that every surfactant or emulsifier molecule in
        lacrimal fluid?                                           part hydrophilic and in part lipophilic
                                                              2. that a certain balance between these two parts
                                                                  is necessary for various types of surfactant
                                                                  functions. In this scheme, each surfactant or
                                                                  emulsifying agent is assigned a number that
                                                                  varies from 1 to 20.
                                                              ● The lower values are assigned to substances
    2. How many mg of Atropine sulfate and boric acid           that are predominantly lipophilic (oil loving) and
        are required to prepare 15 mL of 1% of atropine          have a tendency to form water-in-oil (w/o)
        sulfate isotonic with tears?                             emulsions.
                                                              ● The higher values are given to those materials
                                                                 that     show      hydrophilic     (water-loving)
                                                                 characteristics and favor the formation of
                                                                 oil-in-water (o/w) emulsions.
                                                              ● Consequently,    the HLB number of an
                                                                 emulsifying agent is an index of the type of
    3. How many milligrams of dextrose and sodium               emulsion that has the greatest tendency to
        chloride are needed to produce 1L of 1%                  form.
        dextrose isotonic with blood?                         ● When two or more emulsifiers are combined,
                                                                 the HLB of the combination is determined
                                                                 arithmetically by adding the contribution that
                                                                 each makes to the HLB total of the mixture.
                                                                and development to the costs of drug therapy
                                                                analyzed against therapeutic outcomes.
                                                             Drug therapy and other means of treatment are
                                                        intended to serve the healthcare interests the patient
                                                        while being cost-effective. In prescribing drug therapy,
                                                        clinical as well as economic factors are important
                                                        considerations in the selection of the drug substance
                                                        and drug product.
SAMPLE PROBLEM
   1. What is the HLB of a mixture of 40% of Span 60       For example, if an expensive drug reduces morbidity
       and 60% of Tween 60?                             and hospitalization time, it is considered both
                                                        therapeutically advantageous and cost effective. If,
                                                        however, a less expensive drug would provide
                                                        therapeutic benefit comparable to the more expensive
                                                        drug, the less costly drug is likely to be selected for use.
                                                        Cost differential between drugs
                                                        Example:
                                                                An antihypertensive drug is available from
                                                        various manufacturers at prices per 100 tablets ranging
                                                        from P6.26 to P25.50, with a mean price of P10.75. If a
                                                        patient presents a prescription for a 6-month supply of
   2. In what proportion should Tween 80 and Span      the drug calling for two tablets daily, calculate the
      80 be blended to obtain a required HLB of 12?     differentials in the cost of the drug to the pharmacy
                                                        between the highest, mean and lowest cost products.
Pharmacoeconomics
   ● encompasses the economic aspects of drug,
                                                        Discounts
      from the costs associated with drug discovery
    ● Provided by suppliers may be based on quantity
         buying and/or payment of invoices within a
                                                                 2. The cost of 100 antacid tablets is $2.10. What
         specified time period. In addition, for
                                                                     should be the selling price per 100 tablets to
         nonprescription products, discounts may be
                                                                     yield a 40% gross profit on the selling price?
         available for certain seasonal or other
         promotional products, bonuses in terms of free
         merchandise, and advertising and display
         allowances. These discounts provide the
         pharmacy with a means of increasing the gross
         profit on selected merchandise.
Net cost given list price and allowable discount
                                                              What are the Common Methods of Prescription
Example:                                                      Pricing?
    1. The list price of an antihistamine elixir is P6.50       1. Percent Mark up. In this common method, the
         per pint, less 40%. What is the nest cost per pint          desired percent markup is taken of the cost of
         of elixir?                                                  the ingredients and added to the cost of the
                                                                     ingredients to obtain the prescription price.
                                                                     Formula:
                                                                                  𝑃𝑟𝑒𝑠𝑐𝑟𝑖𝑝𝑡𝑖𝑜𝑛 𝑃𝑟𝑖𝑐𝑒 =
                                                                         𝐶𝑜𝑠𝑡 𝑜𝑓 𝑖𝑛𝑔𝑟𝑒𝑑𝑖𝑒𝑛𝑡𝑠 + (𝑐𝑜𝑠𝑡 𝑜𝑓 𝑖𝑛𝑔𝑟𝑒𝑑𝑖𝑒𝑛𝑡 ×% 𝑚𝑎𝑟𝑘𝑢𝑝
                                                                     Example:
                                                                            If the cost of the quantity of a drug
                                                                     product to be dispensed is P4.00 and the
                                                                     pharmacist applies an 80% markup on cost,
                                                                     what would be the prescription price?
Markup
    ● used interchangeably with the term margin of
       profit (gross profit), refers to the difference           2. Percent Markup plus a minimum professional
       between the cost of merchandise and its selling               fee. In this method, both a percent markup and
       price.                                                        a minimum professional fee are added to the
    ● Calculating the selling price of merchandise to               cost of the ingredient.
       yield a given percent of gross profit on the cost             Formula:
       involves the following.                                                    𝑃𝑟𝑒𝑠𝑐𝑟𝑖𝑝𝑡𝑖𝑜𝑛 𝑃𝑟𝑖𝑐𝑒 =
Example:                                                           𝑐𝑜𝑠𝑡 𝑜𝑓 𝑖𝑛𝑔𝑟𝑒𝑑𝑖𝑒𝑛𝑡 ×% 𝑚𝑎𝑟𝑘𝑢𝑝) + 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑝𝑟𝑜𝑓𝑒𝑠𝑠𝑖𝑜𝑛𝑎𝑙 𝑓𝑒𝑒
    1. The cost of 100 antacid tablets is P2.10. What
        would be the selling price per tablet to yield a             Example: If the cost of a drug product to be
        66 2/3% gross profit on cost?                                dispensed in P4.00 and pharmacist applies a
                                                                     40% markup on cost plus a professional fee of
                                                                     P2.25, what would be the prescription price?
   3. Professional Fee. This method involves addition
       of a specified professional fee to the cost of
       ingredients used in filling a prescription.
       Formula:
𝐶𝑜𝑠𝑡 𝑜𝑓 𝑡ℎ𝑒 𝑖𝑛𝑔𝑟𝑒𝑑𝑖𝑒𝑛𝑡𝑠 + 𝑝𝑟𝑜𝑓𝑒𝑠𝑠𝑖𝑜𝑛𝑎𝑙 𝑓𝑒𝑒 = 𝑝𝑟𝑒𝑠𝑐𝑟𝑖𝑝𝑡𝑖𝑜𝑛
       Example: If the cost of the quantity of a drug
       product to be dispensed is P4.00 and the
       pharmacist applies a professional fee of P4.25,
       what would be the prescription price?