Chapter 26 Pharmaceutical calculations

Ivan O. Edafiogho, Arthur J. Winfield

Study points

Expressions of concentration
Calculating quantities from master formulae
Changing concentrations
Small quantities (trituration)
Solubility
Calculations related to doses
Reconstitution and rates of infusion

There are examples and self-assessment questions and answers provided to help you assess your progress.

Introduction

Many pharmacy students approach the calculations involved in dispensing and manufacturing with trepidation. There is no need. Most calculations are simple arithmetic. It is true that there are many steps in the dispensing process where things can go wrong and calculating quantities is one of them. However, careful, methodical working will minimize the risk of errors. Always try to relate the calculation to practice, visualize what you are doing and double-check everything.

How to minimize errors

As in all dispensing procedures, an organized, methodical approach is essential:

Write out the calculation clearly – it is all too easy to end up reading from the wrong line
If you are transferring data from a reference source, double-check what you have written down is correct
Write down every step
Do not take short cuts – you are more likely to make a mistake
Try not to be totally dependent on your calculator – have an approximate idea of what the answer should be and then if you happen to hit the wrong button on the calculator you are more likely to be aware that an error has been made
Finally, always double-check your calculation. There is frequently more than one way of doing a calculation, so if you get the same answer by two different methods the chances are that your answer will be correct. Alternatively, try working it in reverse and see if you get the starting numbers.

Expressions of concentration

The metric system is the International System of Units (SI Units) for weight, volume and length. The basic unit for weight is the kilogram (kg) while the basic unit for volume is the litre (L) and the basic unit of length is the metre (m). Appendix 3 gives information about the weights and measures commonly used in pharmacy. The prefix ‘milli’ indicates one-thousandth (10−3) and ‘micro’ one-millionth (10−6).

In some countries, the avoirdupois (or imperial) system (pounds and ounces) is still used in commerce and daily life. The imperial system of volume (pints and gallons) is still a common system for commerce and household measurement. Pharmacists need to know about these systems in order to avoid serious errors in interpretation of prescriptions. It is important to be able to change between the systems. Some conversion factors for the metric, avoirdupois and apothecary systems are shown in Box 26.1 (Examples 26.1-26.3).

Box 26.1 Weights and measures

1000 millilitres (mL) = 1 litre (L)
1000 micrograms = 1 milligram (mg)
1000 milligrams (mg) = 1 gram (g)
1000 grams (g) = 1 kilogram (kg)
1 kilogram (kg) = 2.2 pounds (lb)
1 teaspoonful (tsp) = 5 mL
1 tablespoonful = 15 mL (3 teaspoonfuls)
1 grain (Avoir. or Apoth.) = 64.8 mg
1 pint (pt) = 473 mL
1 gallon (gal) = 3785 mL
1 fluid ounce (oz) = 29.57 mL (30 mL)
1 fluid ounce (oz) = 480 minims

Example 26.1

A prescription is received for a dose of 30 grains of a drug. How many grams is the dose?

1 grain = 64.8 mg. Therefore:
30 grains = 30 × 64.8 mg = 1944 mg = 1.94 g (to 2 decimal places)

Example 26.2

If 60 minims make 1 fluid drachm, and 8 fluid drachms make 1 fluid ounce, what is the volume of 1 minim in the metric system?

60 minims = 1 fluid drachm; and
8 fluid drachms = 1 fluid ounce (30 mL)
60 × 8 minims = 30 mL; 480 minims = 30 mL;

1 minim = 30/480 mL

Therefore 1 minim = 0.06 mL

Example 26.3

Sulfacetamide eye drops contain 200 drops in a 10 mL bottle. Calculate the volume of 1 drop.

200 drops = 10 mL. Therefore:
1 drop = 10/200 mL = 0.05 mL

Expressions of strength

Ratio is the relative magnitude of two like quantities. Thus:


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If 1 g of sucrose is in 10 g of solution, the ratio is 1 : 10. Therefore, 10 g of sucrose is in 100 g of solution. This can be expressed as a percentage, so it is equivalent to a 10% w/w (weight in weight) solution.

Ratio strength is the expression of a concentration by means of a ratio, e.g. 1 : 10. Percentage strength is a ratio of parts per hundred, e.g. 10% (Examples 26.4-26.6).

Example 26.4

Express 0.1% w/w as a ratio strength.

0.1 g/100 g = 1 part/y parts.
y = 100 × 1/0.1
y = 1000

Therefore, the ratio strength = 1 : 1000

Example 26.5

Express 1 : 2500 as a percentage strength.

1 part/2500 parts = y parts/100 parts.

Thus, y = 1 × 100/2500 = 0.04%

Example 26.6

Express 1 p.p.m. as a percentage strength.

1 p.p.m. = 1 part per million = 1:1 000 000
Let y be the percentage strength:
Thus, 1 part/1 000 000 = y parts/100 parts
y = 1 × 100/1 000 000 = 0.0001% = 1 × 10−4%

Percentage weight in weight (w/w)

Percentage weight in weight (w/w) is the number of grams of an active ingredient in 100 grams (solid or liquid) (Example 26.7).

Example 26.7

How many grams of a drug should be used to prepare 240 grams of a 5% w/w solution?

Let y be the weight of the drug needed:

Thus, y/240 = 5 g/100 g
y = 5 × 240/100 = 12 g

Percentage weight in volume (w/v)

Percentage weight in volume (w/v) is the number of grams of an active ingredient in 100 mL of liquid (Example 26.8).

Example 26.8

If 5 g of iodine is in 250 mL of iodine tincture, calculate the percentage of iodine in the tincture.

Let y be the percentage of iodine in the tincture:

y/100 mL = 5 g/250 mL
y = 5 × 100/250 = 2% w/v

Percentage volume in volume (v/v)

Percentage volume in volume (v/v) indicates the number of millilitres (mL) of an active ingredient in 100 mL of liquid (Example 26.9).

Example 26.9

If 15 mL of ethanol is mixed with water to make 60 mL of solution, what is the percentage of ethanol in the solution?

Let y be the percentage of ethanol in the solution:

y/100 mL = 15 mL/60 mL
y = 15 × 100/60 = 25% v/v

Miscellaneous examples

(Examples 26.10-26.13)

Example 26.10

Express 30 g of dextrose in 600 mL of solution as a percentage, indicating w/w, w/v or v/v.

Let y grams be the weight of dextrose in 100 mL:

y/100 mL = 30 g/600 mL
y = 30 × 100/600 mL = 5% w/v

Example 26.11

What is the percentage of magnesium carbonate in the following syrup?

Magnesium carbonate 15 g
Sucrose 820 g
Water, q.s. to 1000 mL

Percentage is the number of grams of magnesium carbonate in 100 mL of syrup.

y/100 mL = 15 g/1000 mL
y = 15 × 100/1000 = 1.5% w/v (grams in 100 mL)

Example 26.12

Calculate the amount of drug in 5 mL of cough syrup if 100 mL contains 300 mg of drug.

By proportion, y mg/5 mL = 300 mg/100 mL
y = 5 × 300/100 = 15 mg

Example 26.13

Compute the percentage of the ingredients in the following ointment (to 2 decimal places):

Liquid paraffin 14 g
Soft paraffin 38 g
Hard paraffin 12 g

Total amount of ingredients

= 14 g + 38 g + 12 g = 64 g

To find the amounts of the ingredients in 100 g of ointment, each figure will be multiplied by 100/64:

Liquid paraffin = (100/64) × 14 = 21.88% w/w
Soft paraffin = (100/64) × 38 = 59.38% w/w
Hard paraffin = (100/64) × 12 = 18.75% w/w

It is useful to double-check that these numbers add up to 100% (allowing for the rounding off to 2 decimal places).

Moles and molarity

Concentrations can also be expressed in moles or millimoles (see also Ch. 38). When a mixture contains the molecular weight of a drug in grams in 1 litre of solution, the concentration is defined as a 1 molar solution (1 mol). It has a molarity of 1. Thus, for example, the molecular weight of potassium hydroxide (KOH) is the sum of the atomic weights of its elements, i.e. KOH = 39 + 16 + 1 = 56. Therefore a 1 molar solution (1 mol) of KOH contains 56 g of KOH in 1 litre of solution.

A 1 millimole (mmol) solution of KOH contains one-thousandth of a mole in 1 litre = 56 mg (Examples 26.14-26.16).

Example 26.14

Calculate the number of moles (molarity) of a solution if it contains 117 g of sodium chloride (NaCl) in 1 L of solution (atomic weights: Na = 23, Cl = 35.5).

Molecular weight of NaCl = 23 + 35.5 = 58.5 g
Therefore, 58.5 g of NaCl in 1 litre is equivalent to 1 mole (1 mol) in solution.
Number of moles of NaCl = 117 g/58.5 g = 2 mol

Example 26.15

Calculate the number of milligrams of sodium hydroxide (NaOH) to be dissolved in 1 L of water to give a concentration of 10 mmol (atomic weights: H = 1, O = 16, Na = 23).

Molecular weight of NaOH = 23 + 16 + 1 = 40
1 mmol = 40 mg in 1 L
Therefore, 10 mmol = 400 mg in 1 L

Example 26.16

Express 111 mg of calcium chloride (CaCl2) in 1 L of solution as millimoles (atomic weights: Ca = 40, Cl = 35.5).

Molecular weight of CaCl2 = Ca + (2 × Cl)

= 40 + (2 × 35.5) = 40 + 71 = 111 g

Therefore, 111 mg of CaCl2 = 1 mmol in 1 L

Calculating quantities from a master formula

In extemporaneous dispensing, a list of the ingredients is provided on the prescription or is obtained from a recognized reference source where the quantities of each ingredient are indicated. It may be that this ‘formula’ is for the quantity requested, but more often the quantities provided by the master formula have to be scaled up or down, depending on the quantity of the product required. This can be achieved using proportion or by deriving a ‘multiplying factor’. The latter is the ratio of the required quantity divided by the formula quantity. The following examples illustrate this process (Examples 26.17 and 26.18).

Example 26.17

Calculate the quantities to prepare the following prescription:

50 g Compound Benzoic Acid Ointment BPC.

The master formula is for 100 g, the prescription is for 50 g, therefore the multiplying factor is 50/100, i.e. each quantity in the master formula is multiplied by 50/100 = 0.5 to give the scaled quantity.

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Double-check: the quantities for the master formula add up to 100 g and the scaled quantities add up to 50 g.

Example 26.18

You are requested to dispense 200 mL of Ammonium Chloride Mixture BPC. The formula can be found in a variety of reference books such as Martindale. In this example the master formula gives quantities sufficient for 10 mL. As the prescription is for 200 mL, the multiplying factor is 200/10. Thus the quantity of each ingredient in the master formula has to be multiplied by 20 to provide the required amount.

Ingredient Master formula Scaled quantity
Ammonium chloride 1 g 20 g
Aromatic solution of ammonia 0.5 mL 10 mL
Liquorice liquid extract 1 mL 20 mL
Water to 10 mL to 200 mL

Because this formula contains a mixture of volumes and weights it is not possible to calculate the exact quantity of water which is required. However, it is always good practice to have an idea of what the approximate quantity will be. The liquid ingredients of the preparation, other than the water, add up to 30 mL and there is 20 g of ammonium chloride. The volume of water required will therefore be between 150 mL and 170 mL.

In most formulae where a combination of weights and volumes is required, the formula will indicate that the preparation is to be made up to the required weight or volume with the designated vehicle. However, occasionally, as can be seen in the next example, a combination of stated weights and volumes is used and it is not possible to indicate what the exact final weight or volume of the preparation will be. In these instances an excess quantity is normally calculated for and the required amount measured (Example 26.19).

Example 26.19

Calculate the quantities required to produce 300 mL Turpentine Liniment BP 1988.

Ingredient Master formula
Soft soap 75 g
Camphor 50 g
Turpentine oil 650 mL
Water 225 mL

When the total number of units is added up for this formula it comes to 1000. However, because it is a combination of solids and liquids, it will not produce 1000 mL. The prescription is for 300 mL and experience shows that calculating for 340 units will provide slightly more than 300 mL. The required amount can then be measured.

Ingredient Master formula Scaled quantity for 340 units
Soft soap 75 g 25.5 g
Camphor 50 g 17 g
Turpentine oil 650 mL 221 mL
Water 225 mL 76.5 mL

Calculations involving parts

In the following example the quantities are expressed as parts of the whole. The number of parts is added up and the quantity of each ingredient calculated by proportion or multiplying factor, to provide the correct amounts (Example 26.20).

Example 26.20

The quantity which is to be prepared of the following formula is 60 g.

Ingredient Master formula Quantity for 60 g
Zinc oxide 12.5 parts 7.5 g
Calamine 15 parts 9 g
Hydrous wool fat 25 parts 15 g
White soft paraffin 47.5 parts 28.5 g

The total number of parts adds up to 100 so the proportions of each ingredient will be 12.5/100 of zinc oxide, 15/100 of calamine and so on. The required quantity of each ingredient can then be calculated. Zinc oxide 12.5/100 of 60 g, calamine 15/100 of 60 g, etc. as indicated above.

There are some situations when extra care is necessary in reading the prescription (Example 26.21).

Example 26.21

Two products are to be dispensed:

Betnovate® cream 1 part
Aqueous cream to 4 parts
Prepare 50 g  
 
Haelan® ointment 1 part
White soft paraffin 4 parts
Prepare 50 g  

At first glance these calculations look similar but the quantities required for each are different. In the Betnovate prescription the total number of parts is 4, i.e. 1 part of Betnovate and 3 parts of aqueous cream to produce a total of 4 parts. However, in the Haelan prescription the total number of parts is 5, i.e. 1 part of Haelan ointment and 4 parts of white soft paraffin.

The quantities required for the prescriptions are as follows:

Betnovate® cream 12.5 g
Aqueous cream 37.5 g
Haelan® ointment 10 g
White soft paraffin 40 g

Calculations involving percentages

There are conventions which apply when dealing with formulae which include percentages:

A solid in a formula where the final quantity is stated as a weight is calculated as weight in weight (w/w)
A solid in a formula where the final quantity is stated as a volume is calculated as weight in volume (w/v)
A liquid in a formula where the final quantity is stated as a volume is calculated as volume in volume (v/v)
A liquid in a formula where the final quantity is stated as a weight is calculated as weight in weight (w/w) (Example 26.22).

In the following example a liquid ingredient, the coal tar solution, is stated as a percentage and a weight in grams of final product is requested. The convention of % w/w is applied (Example 26.23).

Example 26.22

Prepare 500 g of the following ointment

Ingredient Master formula Quantity for 500 g
Sulphur 2% 0.2 g 10 g
Salicylic acid 1% 0.1 g 5 g
White soft paraffin to 10 g to 10 g 485 g (to 500 g)

The master formula is for a total of 10 g. To calculate the quantities required for 500 g the multiplying factor for each ingredient is 500/10 = 50. Remember do not multiply the percentage figure. This always remains the same no matter how much is being prepared.

Example 26.23

The quantity to be made is 30 g.

Ingredient Master formula Quantity for 30 g
Coal tar solution 3% 3 g 0.9 g
Zinc oxide 5 g 5 g 1.5 g
Yellow soft paraffin to 100 g 92 g 27.6 g

When dealing with preparations where ingredients are expressed as a percentage concentration it is important to check that the standard conventions apply because there are some situations where they do not apply. Two examples are given below:

1. Syrup BP is a liquid – a solution of sucrose and water. If the normal convention applied it would be w/v, i.e. a certain weight of sucrose in a final volume of syrup. However, in the BP formula the concentration of sucrose is quoted as w/w. Therefore Syrup BP is:
Sucrose 66.7% w/w
Water to 100%
This means that when preparing Syrup BP the appropriate weight of sucrose is weighed out and water is added to the required weight, not volume.
2. A gas in a solution is always calculated as w/w, unless specified otherwise. Formaldehyde Solution BP is a solution of 34–38% w/w formaldehyde in water.

Changing concentrations

Sometimes it is necessary to increase or decrease the concentration of a medicine by the addition of more drug or a diluent. On other occasions, instructions have to be provided to prepare a dilution for use. These problems can be solved by the dilution equation:


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where C1 and V1 are the initial concentration and initial volume respectively; and C2 and V2 are the final concentration and final quantity of the mixture respectively.

When three terms of the equation are known, the fourth term can be made the subject of the formula, and solved (Examples 26.24-26.27).

Example 26.24

What is the final concentration if 60 mL of a 12% w/v chlorhexidine solution is diluted to 120 mL with water?

C1 = 12%, V1 = 60 mL, C2 = y%, V2 = 120 mL
12 × 60 = 120 × y, therefore
y = 12 × 60/120 = 6% w/v

Example 26.25

What concentration is produced when 400 mL of a 2.5% w/v solution is diluted to 1500 mL (answer to 2 decimal places)?

C1 = 2.5%, V1 = 400 mL, C2 = y, V2 = 1500 mL
2.5% × 400 mL = y × 1500 mL, therefore
y = 2.5 × 400/1500 = 0.67% w/v

Example 26.26

What volume of 1% w/v solution can be made from 75 mL of 5% w/v solution?

1% × V1 = 5% × 75 mL
V1 = 5/1 × 75 = 375 mL

Example 26.27

What percentage of atropine is produced when 200 mg of atropine powder is made up to 50 g with lactose as a diluent?

The atropine powder is a pure drug, so its concentration (C1) is 100% w/w. The initial weight of the atropine powder (W1) = 200 mg = 0.2 g. Therefore, we can modify the dilution equation to read:


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where C2 and W2 are the final concentration and final weight respectively, of the diluted drug. The diluting medium is the lactose.

Thus, 100% × 0.2 g = C2 × 50 g
Therefore C2 = 100 × 0.2/50 = 0.4% w/w

Alligation

Alligation is a method for solving the number of parts of two or more components of known concentration to be mixed when the final desired concentration is known. When the relative amounts of components must be calculated for making a mixture of a desired concentration, the problem is most easily solved by alligation (Examples 26.28 and 26.29).

Example 26.28

Calculate the amounts of a 2% w/w metronidazole cream and of metronidazole powder required to produce 150 g of 6% w/w metronidazole cream (to 2 decimal places).

In alligation, the two starting material concentrations are placed above each other on the left hand side of the calculation. The target concentration is placed in the centre. The arithmetic difference between the starting material and the target is calculated and the answer recorded on the right hand end of the diagonal. The proportions of the two starting materials are then given by reading horizontally across the diagram.

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As shown above, the difference between the concentration of the pure drug powder (100%, recorded top left) and the desired concentration (6%) is 94 (recorded bottom right). This is equivalent to the number of parts of 2% cream required (read horizontally across the bottom). Similarly, the difference between the concentration of 2% cream (recorded bottom left) and the desired concentration (6%) is 4 (recorded top right). This is equivalent to the number of parts of 100% drug (metronidazole powder) needed for the mixture (read horizontally across the top).

The total amount (4 parts + 94 parts = 98 parts) is 150 g.

Thus, 1 part = 150/98 g.

Therefore, the amount of 2% cream required = 94 parts × 150/98 g = 143.88 g.

The amount of pure metronidazole (100%) required = 4 parts × 150/98 = 6.12 g.

Example 26.29

Promazine oral syrup is available as 25 mg/5 mL and 50 mg/5 mL. Calculate the quantities to use to prepare 150 mL of 40 mg/5 mL of the oral syrup.

Convert all the concentrations to percentages.

Therefore, 25 mg/5 mL is equivalent to 0.025 g in 5 mL = 0.500 g in 100 mL = 0.5% w/v.

Similarly, 50 mg/5 mL = 1% w/v; and 40 mg/5 mL = 0.8% w/v.

Using the alligation method:

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Total number of parts

= 0.3 part + 0.2 parts = 0.5 parts = 150 mL.
Amount of 50 mg/5 mL (1.0% w/v) oral syrup needed
= 0.3/0.5 × 150 mL = 90 mL.
Amount of 25 mg/5 mL (0.5% w/v) oral syrup needed
= 0.2/0.5 × 150 mL = 60 mL.

Calculations where quantity of ingredients is too small to weigh or measure accurately

When preparing medicines by extemporaneous dispensing, the quantity of active ingredient required may be too small to weigh or measure with the equipment available. In these situations a measurable quantity has to be diluted with an inert diluent. The process is called ‘trituration’ (see Ch. 35).

Small quantities in powders

The method for preparing divided powders is described in Chapter 35 (Example 26.30).

Example 26.30

Calculate the quantities required to make 10 powders each containing 200 micrograms of digoxin.

Assume that the balance available has a minimum weighable quantity of 100 mg. An inert diluent, in this case lactose, will be used for the trituration. The convenient weight of each divided powder is 120 mg.

The total weight of powder mixture required will be 10 × 120 = 1200 milligrams = 1.2 g.

Quantities for 10 powders:

Digoxin 2 mg
Lactose 1198 mg
Total 1200 mg

The weight of digoxin is too small to weigh. The minimum weighable quantity of 100 mg is weighed and used in the triturate. A 1 in 10 dilution is produced.

Trituration A

Digoxin 100 mg
Lactose 900 mg
Total 1000 mg

Each 100 mg of this mixture (A) contains 10 mg of digoxin.

Trituration B

Mixture A 100 mg (= 10 mg digoxin)
Lactose 900 mg
Total 1000 mg

Each 100 mg of this mixture (B) contains 1 mg of digoxin. This amount of digoxin is less than the required amount, so mixture B can be used to give the required quantity.

200 mg of mixture B provides the 2 mg digoxin required.

Final trituration (C)

Mixture B 200 mg (= 2 mg digoxin)
Lactose (1200–200) = 1000 mg
Total 1200 mg

Each 120 mg of this mixture (C) will contain 200 micrograms (0.2 mg) of digoxin.

Small quantities in liquids

If the quantity of a solid to be incorporated into a solution is too small to weigh, again dilutions are used. In this case a solution is prepared, so the solubility of the substance needs to be considered. Normally a 1 in 10 or 1 in 100 dilution is used (Example 26.31).

Example 26.31

Calculate the quantities required to prepare 100 mL of a solution containing 2.5 mg morphine hydrochloride/5 mL.

Quantities for 100 mL:

Morphine hydrochloride 50 mg
Chloroform water to 100 mL

The solubility of morphine hydrochloride is 1 in 24 of water.

The minimum quantity of 100 mg of morphine hydrochloride is weighed and made up to 10 mL with chloroform water (this weight of morphine hydrochloride will dissolve in 2.4 mL).

5 mL of this solution (A) provides the 50 mg of morphine hydrochloride required.Take 5 mL of solution A and make up to 100 mL with chloroform water.

Solubilities

When preparing pharmaceutical products, the solubility of any solid ingredients should be checked. This will give useful information on how the product should be prepared. Examples of the calculations are given in Chapters 25 and 30. The objective of this section is to clarify the terminology used when solubilities are stated.

The solubility of a drug can be found in reference sources such as the drug monograph in Martindale. The method of stating solubilities is as follows:


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This means that 1 g of sodium chloride requires 2.8 mL of water, 250 mL of alcohol or 10 mL of glycerol to dissolve it. An example of how knowledge of a substance’s solubility can help in extemporaneous dispensing can be found in Chapter 25. Some examples of calculating quantities of liquids required to dissolve solids are found in the self-assessment section (questions 6.1–6.4) at the end of this chapter.

Calculations involving doses

A simple calculation which pharmacists sometimes have to make while dispensing is to calculate the number of tablets or capsules or volume of a liquid medicine to be dispensed (Examples 26.32 and 26.33).

Example 26.32

The doctor prescribes orphenadrine tablets, 100 mg to be taken every 8 hours for 28 days. Orphenadrine is available as 50 mg tablets. How many tablets should be supplied?

For each dose, 2 tablets are required. Every eight hours means 3 doses per day.

Therefore, the total number of tablets required is 2 × 3 × 28 = 168 tablets.

Example 26.33

The following prescription is received:

Sodium valproate oral solution:

100 mg to be given twice daily for 2 weeks.

Sodium valproate oral solution contains sodium valproate 200 mg/5 mL.

This prescription is therefore translated as:

2.5 mL to be given twice daily for 2 weeks.

The quantity to be dispensed will be:

2.5 × 2 × 14 = 70 mL.

Calculating doses

An overdose of a drug, if given to a patient, can have very serious consequences and may be fatal. It is the responsibility of everyone involved in supplying or administering drugs to ensure that the accuracy and suitability of the dose are checked. The following are some examples of areas where errors can occur.

The standard way to check whether a drug dose is appropriate is to consult a recognized reference book. One of the commonest used for this purpose is the British National Formulary (BNF). When first using any reference source it is important to be aware of the terminology used, to avoid misinterpreting the entries, especially where doses are quoted as ‘x milligrams daily, in divided doses’. An explanation of the terminology will usually be given in the introduction to the book (Example 26.34).

Example 26.34

The following prescription is received:

Verapamil tablets 160 milligrams
Send 56
Take two tablets twice daily

There are a variety of doses quoted for verapamil in the BNF depending on the condition being treated. They are as follows for oral administration:

Supraventricular arrhythmias, 40–120 mg three times daily
Angina, 80–120 mg three times daily
Hypertension, 240–480 mg daily in 2–3 divided doses.

The dose given for hypertension is stated in a significantly different way. Whereas the other doses can be given three times daily, indicating a maximum of 360 mg in any one day, the hypertension dose is the total to be given in any one day and is divided up and given at the stated frequencies, i.e. a maximum of 240 mg, given twice daily or a maximum of 160 mg, given three times daily.

The prescription is for a dose higher than recommended, so consultation with the prescriber would be required. Be alert – variation in terminology and a lack of awareness could have very serious consequences.

Calculations of children’s doses

Children often require different doses from those of adults. Ideally these should be arrived at as a result of extensive clinical studies, although this is often not possible. When this is the case an estimate of the dose has to be made. This is best carried out using body weight (see next section), but where this is not available, there are three formulas which relate the child’s dose to the adult dose.

Fried’s rule for infants


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Clark’s rule


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Body surface area (BSA) method


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Calculation of doses by weight and surface area

For some drugs the amount of drug has to be calculated accurately for the particular patient. This is normally carried out using either body weight or body surface area. When body weight is being used, the dose will be expressed as mg/kg. In countries which still use pounds, it will be necessary to convert the patient’s weight in pounds into kilograms by dividing by 2.2. The total dose required is then obtained by multiplying the weight of the patient by the dose per kilogram.

Body surface area is a more accurate method for calculating doses and is used where extreme accuracy is required. This is necessary where there is a very narrow range of plasma concentration between the desired therapeutic effect and severe toxicity, such as with the drugs used to treat cancer. The body surface area can be calculated from body weight and height using the equation given below, but it is more usual to use a nomogram for its determination. The actual nomogram is published in many reference sources.


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Reconstitution and infusion

Some drugs are not chemically stable in solution and so are supplied as dry powders for reconstitution just before use. Many of these are antibiotics, but there is also a range of chemotherapeutic agents used in cancer treatment. The antibiotics may be for oral use or for injection. An oral antibiotic for reconstitution comes as a powder in a bottle with sufficient space to add the water. The powder itself will remain stable for up to 2 years when dry. When reconstituted, a shelf life of 10–14 days is normal, depending on whether it is refrigerated or not. Those for injection are equally stable when dry, but are intended to be used within hours of reconstitution. Because they are for injection they are sterile powders and are dissolved in sterile water aseptically (see Ch. 29). There are a number of calculations which may be required around the reconstitution processes (Example 26.35).

Example 26.35

What dose of antibiotic will be contained in a 5 mL spoonful when a bottle containing 5 g of penicillin V is reconstituted to give 200 mL of syrup?

For this type of calculation, the simple proportion equation can be used:

Wt1/Wt2 = Vol1/Vol2

5 g = 5000 mg.

Substituting we get:

5000 mg/y mg = 200 mL/5 mL

y = 125 mg.

Sometimes, the doctor may request a more or less concentrated syrup to be produced which requires altering the amount of water added from that indicated by the manufacturer (Example 26.36).

Example 26.36

We have an ampicillin product for reconstitution. It contains 2.5 g of ampicillin to be made up to 100 mL. To what volume should it be made to give 100 mg per 5 mL dose?

The normal mixture will give a dose of:

2500 mg/y mg = 100 mL/5 mL
y = 125 mg per 5 mL

To calculate the amount of water to add, the same equation is used:

2500 mg/100 mg = y mL/5 mL
y = 125 mL.

However, this type of oral mixture is likely to have other ingredients – thickeners, colours, flavours, etc. – which will occupy some of the final volume. So this may not be correct and we need to be able to calculate exactly how much water to add (Examples 26.37 and 26.38).

Example 26.37

The label on an ampicillin bottle indicates that 78 mL of water must be added to produce 100 mL of final syrup. How much water must be added to give the 125 mL final volume?

Thus, the volume of powder in the final syrup is:

100 mL − 78 mL = 22 mL.
Therefore, the volume to add to give 125 mL is:
125 mL − 22 mL = 103 mL.

Example 26.38

A child weighing 60 lb requires a dose of 8 mg/kg of ampicillin. Given that a 5 mL dose is to be given, what volume of water must be added when the powder is reconstituted? Instructions on the label indicate that dilution to 150 mL (by adding 111 mL) gives 250 mg ampicillin per 5 mL.

Conversion of weight to kg: 60/2.2 = 27.27 kg
Calculation of amount of ampicillin required: 27.27 × 8 = 218 mg.
Calculation of amount of ampicillin in container: 250 mg/y mg = 5 mL/150 mL, therefore y = 7500 mg = 7.5 g
Calculation of amount of water (a) to add to give 218 mg per 5 mL: 218 mg/7500 mg = 5 mL/ a mL, therefore a = 172 mL
Volume occupied by powder: 150 mL − 111 mL = 39 mL

Therefore, volume to be added:

172 mL − 39 mL = 133 mL.

Drugs for injection solutions do not normally contain ingredients other than the drug (or they make an insignificant contribution to the final volume). However, they are usually packed as a quantity of drug with the final volume left to be calculated by the pharmacist (Example 26.39).

Example 26.39

Calculate the amount of sterile water to be added to a vial containing 200 000 units of penicillin G in order to produce a solution containing 40 000 units per millilitre.Again, simple proportion is used:

40 000 units/200 000 units = 1 mL/y mL, therefore y = 5 mL.

Calculation of infusion rates

Drugs may be given to patients intravenously by adding them to an intravenous (IV) infusion (see Ch. 38). Calculations involve working out how much drug solution should be added, working out how fast, in terms of mL/min, the infusion should be administered, and calculating what this means in terms of ‘drops per minute’ through the giving set. When an infusion pump is used, this can be set to deliver a specified number of mL/min. The final stage of drops/min is only required for traditional IV ‘drips’ (see Ch. 38) (Example 26.40).

Example 26.40

An ampoule of flucloxacillin contains 250 mg of powder with instructions to dissolve it in 5 mL of water for injections. What volume of this solution should be added to 500 mL of saline infusion to provide a dose of 175 mg?

250 mg in 5 mL = 50 mg per mL

Therefore, we require: 175 mg/50 mg/mL = 3.5 mL.

When administering intravenous infusions, the rate of addition is first calculated in terms of millilitres per minute (Example 26.41).

Example 26.41

100 mg of phenylephrine hydrochloride are added to 500 mL of saline infusion. What should be the rate of infusion to give a dose of 1 mg per minute? How long will the infusion take?

Using simple proportion: 100 mg/1 mg = 500 mL/y mL

y = 5 mL and contains the required amount of drug

The infusion rate should be 5 mL per minute.

The total volume is 500 mL, therefore the time taken at 5 mL/min is:

500 mL/5 mL/min = 100 min.

Most infusions are administered using a giving set with a dropping device on the tube (called venoclysis set; see Ch. 38). Partial clamping of the tube can be used to adjust the rate of dropping. Depending on the drop size – that is the number of drops per millilitre – it is then possible to convert a rate of millilitres per minute into drops per minute which the nurse can adjust (Example 26.42).

Example 26.42

A doctor requires an infusion of 1000 mL of 5% dextrose to be administered over an 8 hour period. Using an IV giving set which delivers 10 drops/mL, how many drops per minute should be delivered to the patient?

First convert the time into minutes:

8 hour = 8 × 60 min = 480 min

Next calculate how many mL/min are required:

1000 mL/480 min = 2.1 mL/min

Then calculate the number of drops this requires:

2.1 mL/min × 10 drops/min = 21 drops/min.

A variation on this is when the doctor wishes a drug solution to be added to the infusion (Example 26.43).

Example 26.43

20 mL of a drug solution is added to a 500 mL infusion solution. It has to be administered to the patient over a 5 hour period. Using a set giving 15 drops per millilitre, how many drops per minute are required?

The total volume of infusion is:

20 mL + 500 mL = 520 mL
Then calculate the number of drops which will be administered in total:
520 mL × 15 drops = 7800 drops
The duration of the infusion is to be:
5 (hours) × 60 = 300 min
Calculate how many drops are required per minute:
7800 drops/300 min = 26 drops per min.

Key points

Always work methodically and write down calculations clearly
Check calculations, using a different method where possible
Estimate the answer before you start
Try to visualize the quantities you are using in the calculation
Look carefully to see if a formula gives the quantities of all ingredients or uses ‘to’ for the vehicle
Equations can be a useful way of carrying out calculations, but care is required to ensure that the correct figures are being used
Always check the units being used and be careful not to mix them during a calculation
Be very careful to read the wording; small changes in terminology can alter the calculation
Triturates with solids and liquids normally use a 1 in 10 dilution per step
Be very careful in checking doses, particularly with ‘in divided doses’ and ‘mg/kg’ statements in the reference books
On completion of a calculation, ask yourself whether the answer is ‘reasonable’ given the numbers you are using

Self-assessment questions

(Express answers to 2 decimal places where appropriate.)

1.1 Express 20 grains in grams.
1.2 Express 300 p.p.m. as a percentage strength.
1.3 Express 324 mg in grains.
1.4 What is the total volume to be dispensed when the prescription states:
5 mL three times daily for 2/52?
1.5 Calculate the number of tablets to be dispensed when the prescription states:
2 tablets four times daily for 2/52.
1.6 Calculate the volume of and total quantity to be dispensed for a prescription for a drug which is available as a 250 mg/5 mL syrup:
100 mg twice daily for 3/52.
2.1 Express the following as percentages (indicating w/w, w/v, v/v, where appropriate):
a 1 g in 220 mL of solution
b 110 mg of sodium chloride in 100 mL of solution
c 0.3 mL in 2.5 mL of solution
d 2 g in 630 g of solution
e 50 mg of sodium chloride in 120 mL
f 2 L of drug in 5000 mL of solution
g 3600 parts per million
h 1 in 4000 solution
i 170 mg of potassium chloride in 90 mL
j 0.15 mL in 13 mL
k 2 g in 630 mL
l 100 microgram/5 mL
m 1.2 mg/mL.
2.2 Express 0.025% w/w as 1 part in …
2.3 The following are examples of concentrations expressed as percentages. Indicate the amount of drug present in:
a 90 mL of 1.3% w/v solution
b 15 mL of 4.2% w/v preparation
c 2 L of a 0.05% v/v preparation
d 50 mL of 3.2% w/v preparation
e 75 g of a 0.6% w/w mixture
f 150 mL of a 0.002% w/v preparation.
2.4 What weight of lactose is required to make 80 mL of 3.0% w/v solution?
2.5 How much drug is required to prepare 50 g of a 0.3% w/w mixture?
2.6 Express 0.4% w/v as mg/mL.
2.7 How many milligrams of drug are there in 5 mL of 2% w/v solution?
2.8 Calculate the number of milligrams of the following compounds to be dissolved in 1 L of aqueous solution to give a concentration of 10 mmol:
(Atomic weights: H = 1, C = 12, N = 14, O = 16, S = 32, Cl = 35.5, K = 39)
a Hydrochloric acid (HCl)
b Sulphuric acid (H2SO4)
c Potassium chloride (KCl)
d A drug with the molecular formula C12H12ONCl.
2.9 Express 222 mg of calcium chloride (CaCl2) in 2 L of solution as millimoles.
(Atomic weights: Ca = 40, Cl = 35.5)
2.10 How many grams of aspirin (C9H8O4) are contained in 1 millimole?
2.11 How many mmol are there in 15 g of tetracycline hydrochloride (C22H24N2O8HCl)?
3.1 What weight of each ingredient is required for the extemporaneous preparation if 50 g of the following preparation is to be made?

Hydrocortisone 10 g
Oxytetracycline 30 g
Wool fat 100 g
White soft paraffin 860 g
3.2 Calculate the quantities for the following prescriptions:

a White beeswax 20 g
  Hard paraffin 30 g
  Cetostearyl alcohol 50 g
  Soft paraffin 900 g
  Prepare 150 g
 
b Light magnesium carbonate 3 g
  Sodium bicarbonate 5 g
  Aromatic cardamom tincture 3 mL
  Chloroform water, double strength 50 mL
  Water to 100 mL
  Send 120 mL
3.3 Calculate the quantities required for the following extemporaneous preparations:

a Ichthammol 5 parts
  Cetostearyl alcohol 3 parts
  Wool fat 10 parts
  Zinc cream to 100 parts
  Send 120 g
 
b Chlorhexidine gluconate 20% solution 5 parts
  Cetomacrogol emulsifying wax 25 parts
  Liquid paraffin 10 parts
  Water to 100 parts
  Send 30 g
 
c Zinc oxide 6 parts
  Arachis oil 7 parts
  Wool fat 2 parts
  Water to 20 parts
  Send 60 g
 
d Wool alcohols 6%
  Soft paraffin 10%
  Hard paraffin 24%
  Liquid paraffin 60%
  Send 30 g
 
e Menthol 2%
  Eucalyptus oil 10%
  Light magnesium carbonate 7%
  Water to 100%
  Send 150 mL
 
f Cetrimide 3%
  Cetostearyl alcohol 13.5 g
  White soft paraffin 25 g
  Liquid paraffin to 50 g
  Send 150 g
 
g Starch 7 parts
  Zinc oxide 8 parts
  Olive oil 2 parts
  Wool fat 3 parts
  Send 30 g
 
h Cetomacrogol emulsifying wax 60 g
  Benzyl alcohol 3 g
  Methyl paraben 2.3%
  Water to 200 g
  Send 40 g
 
i Cetrimide 3%
  Cetostearyl alcohol 13.5 g
  White soft paraffin 25 g
  Liquid paraffin to 50 g
  Send 40 g
4.1 How much cetrimide is required to make 30 mL of a solution which, when 1 mL is diluted to 100 mL, produces a 100 parts per million solution?
4.2 What percentage is produced when 200 mg of powder is made up to 40 g with a diluent?
4.3 What concentration is produced when 75 mL of an 8% solution is diluted to 3 L?
4.4 What concentration is produced when 200 mL of a 1 in 40 solution is diluted to 1000 mL?
4.5 What concentration is produced when 75 mL of a 1 in 12.5 solution is diluted to 500 mL?
4.6 What weight of drug must be added to 100 g of 2% ointment to produce a 3.5% ointment?
4.7 Sulphur ointment is available as 5% w/w and 8% w/w. Calculate the quantities needed to prepare 60 g of 6% w/w ointment.
4.8 Orphenadrine syrup is available as 25 mg/5 mL and 50 mg/5 mL. Calculate the quantities to use to prepare 1000 mL of 45 mg/5 mL syrup.
4.9 What weight of drug must be added to 50 g of 2% ointment to produce a 3% ointment?
4.10 Calculate the amount of drug and 2.5% w/w ointment to make 60 g of 3.5% ointment.
4.11 How much of a 0.5% solution is required so that when diluted to 600 mL it produces a 1 in 8000 solution?
4.12 What volume of normal saline (0.9% w/v NaCl) can be made from 1.5 g NaCl?
4.13 What volume of 0.8% solution can be made from 300 mL of 2.5% solution?
4.14 What volume of 2% solution can be made from 225 mL of 5% solution?
4.15 What volume of 0.5% solution can be made from 300 mL of 1 in 40 solution?
4.16 How many grams of ichthammol must be added to an ointment base to produce 150 g of a 0.13% w/w ichthammol?
4.17 Calculate the weight of drug which must be added to 1 litre of a 17% w/v solution (density 1.2 g/mL) to make a 20% w/w solution.
4.18 Calculate the volume of 4% solution of cetrimide to prepare 600 mL of a 1 in 1000 solution.
4.19 Calculate the volume of 2% of potassium permanganate required to prepare 1 L of a 0.01% solution.
4.20 Calculate the volume of 1 in 20 solution of chlorhexidine to prepare 250 mL of a 0.2% solution.
5.1 Calculate how to make 30 × 120 mg powders, each containing 0.5 mg of colchicine.
5.2 Calculate how to make 10 × 120 mg powders, each containing 2 mg of carbachol.
5.3 Calculate how to make 20 × 120 mg powders, each containing 0.4 mg of atropine sulphate.
5.4 Calculate how to make 20 × 120 mg capsules, each containing 0.6 mg of hyoscine hydrobromide.
6.1 How much water is required to dissolve:
a 5 g of aspirin (solubility 1 in 300)?
b 50 mg of morphine sulphate (solubility 1 in 21)?
c 40 mg of hydralazine hydrochloride (solubility 1 in 25)?
6.2 How much lithium carbonate will dissolve in 20 mL of water (solubility 1 in 100)? If 300 mg is to be dispensed, will it dissolve in 20 mL of water?
6.3 300 mg quinine hydrobromide (solubility 1 in 55) is to be dispensed; will it dissolve in 30 mL of water?
6.4 A drug has a solubility 1 in 50 of water and 1 in 14 of alcohol.
a Will 250 milligrams dissolve in 4 mL of water?
b Will 4 g dissolve in 60 mL of alcohol?
c Will 10 micrograms dissolve in 0.002 mL of water?
d Will 1 kg dissolve in 3 L of alcohol?
e Will 0.05 g dissolve in 0.2 mL of alcohol?
7.1 For the following prescriptions calculate the dose of active ingredient which the patient will be taking on each occasion and each day.
a Sudafed elixir
Mitte 150 mL
Sig. 3 mL t.i.d.
(Sudafed elixir contains pseudoephedrine 30 milligrams/5 mL.)
b Codeine linctus half strength
Mitte 200 mL
Sig. 2.5 mL t.i.d.
(Codeine linctus contains codeine phosphate 15 milligrams/5 mL.)
c Ketotifen elixir
Mitte 300 mL
Sig. 7.5 mL b.i.d.
(Ketotifen elixir contains ketotifen 1 milligram/5 mL.
d Alimemazine syrup forte
Mitte 150 mL
Sig. 10 mL b.i.d.
(Alimemazine syrup forte contains alimemazine tartrate 30 milligrams/5 mL.)
7.2 For the following prescriptions calculate the volume of liquid which the patient will take on each occasion.
a Loratadine syrup
Mitte 500 mL
Sig. 8 milligrams daily
(Loratadine syrup contains loratadine 5 milligrams/5 mL.)
b Methadone oral concentrate is available as 20 mg/mL. What volume is required to provide 2 mg, 17 mg, 43 mg?
c Promethazine elixir
Mitte 100 mL
Sig. 12 milligrams daily
(Promethazine elixir contains promethazine hydrochloride 5 mg/5 mL.)
7.3 What dose of atenolol should be given to a patient weighing 75 kg to provide a dose of 150 micrograms/kg?
7.4 Calculate the dose of cisplatin to provide 60 mg/m2 for a patient of estimated surface area 1.57 m2.
8.1 What is the weight of antibiotic in a 5 mL dose when a bottle containing 15 g antibiotic is made up with water to give 150 mL of syrup?
8.2 What is the total volume, after adding water to 15 g of antibiotic, to provide a 250 mg dose per 5 mL dose?
8.3 The label on a bottle of ampicillin syrup indicates that 92 mL of water should be added to make 100 mL of syrup. How much water should be added to produce 130 mL of syrup?
8.4 An injection of amphotericin B contains 50 mg/10 mL. What volume must be added to 500 mL of normal saline infusion to produce a 1200 microgram/mL solution?
9.1 An infusion solution contains 5 g in 500 mL. What rate of infusion should be used to give 16 mg/min? How long will a 500 mL infusion last?
9.2 In preparing an IV infusion, you have a solution containing 2 g/mL furosemide (molecular weight 330.7). What volume must be added to a 500 mL infusion to provide a 12 mmol total dose?
10.1 Paregoric is 4% v/v tincture of opium which is 10% w/v opium. If opium contains 10% w/w morphine what weight of morphine is contained in a 30 mL bottle of Paregoric?

Self-assessment answers

1.1 1.30 g
1.2 0.03%
1.3 5 grains
1.4 210 mL
1.5 112 tablets
1.6 A 2 mL dose and a total of 84 mL to be dispensed
2.1a 0.45% w/v
2.1b 0.11% w/v
2.1c 12% v/v
2.1d 0.32% w/w
2.1e 0.04% w/v
2.1f 40% v/v
2.1g 0.36%
2.1h 0.03%
2.1i 0.19% w/v
2.1j 1.15% v/v
2.1k 0.32% w/v
2.1l 0.0020% w/v
2.1m 0.12% w/v
2.2 1 in 4000
2.3a 1.17 g
2.3b 0.63 g
2.3c 1 mL
2.3d 1.6 g
2.3e 0.45 g or 450 mg
2.3f 0.003 g or 3 mg
2.4 2.40 g
2.5 0.15 g or 150 mg
2.6 4 mg/mL
2.7 100 mg
2.8a 365 mg
2.8b 980 mg
2.8c 745 mg
2.8d 2215 mg
2.9 1 mmol
2.10 0.18 g or 180 mg
2.11 31.22 mmol

3.1 Hydrocortisone 0.5 g
  Oxytetracycline 1.5 g
  Wool fat 5 g
  White soft paraffin 43 g

3.2a White beeswax 3 g
  Hard paraffin 4.5 g
  Cetostearyl alcohol 7.5 g
  Soft paraffin 135 g

3.2b Light magnesium carbonate 3.6 g
  Sodium bicarbonate 6.0 g
  Aromatic cardamom tincture 3.6 mL
  Chloroform water, double strength 60 mL
  Water to 120 mL

3.3a Ichthammol 6 g
  Cetostearyl alcohol 3.6 g
  Wool fat 12 g
  Zinc cream to 120 g

3.3.b Chlorhexidine gluconate 20% solution 1.5 g
  Cetomacrogol emulsifying wax 7.5 g
  Liquid paraffin 3 g
  Water to 30 g

3.3c Zinc oxide 18 g
  Arachis oil 21 g
  Wool fat 6 g
  Water to 60 g

3.3dWool alcohols1.8 gSoft paraffin3 gHard paraffin7.2 gLiquid paraffin18 g

3.3e Menthol 3 g
  Eucalyptus oil 15 mL
  Light magnesium carbonate 10.5 g
  Water to 150 mL

3.3f Cetrimide 4.5 g
  Cetostearyl alcohol 40.5 g
  White soft paraffin 75 g
  Liquid paraffin 30 g

3.3g Starch 10.5 g
  Zinc oxide 12 g
  Olive oil 3 g
  Wool fat 4.5 g

3.3h Cetomacrogol emulsifying wax 12 g
  Benzyl alcohol 0.6 g
  Methyl paraben 0.92 g
  Water 26.48 g

3.3i Cetrimide 1.2 g
  Cetostearyl alcohol 10.8 g
  White soft paraffin 20 g
  Liquid paraffin 8 g
4.1 0.3 g
4.2 0.5% w/w
4.3 0.2%
4.4 0.5%
4.5 1.2%
4.6 1.55 g
4.7 5% ointment 40 g, 8% ointment 20 g
4.8 25 mg/5 mL 200 mL, 50 mg/5 mL 800 mL
4.9 0.52 g
4.10 Drug 0.62 g, Ointment 59.38 g
4.11 15 mL
4.12 166.67 mL
4.13 937.5 mL
4.14 562.5 mL
4.15 1500 mL
4.16 195 mg or 0.2 g
4.17 The weight of drug to be added = 87.50 g
17% w/v solution = 14.167% w/w
Weight of 1 litre of 17% w/v solution is 1200 g
4.18 15 mL
4.19 5 mL
4.20 10 mL
5.1 Weigh 100 mg drug, dilute with 900 mg lactose, take 150 mg of mixture and mix with 3.450 g of lactose to give 3.6 g total and divide into 30 × 120 mg separately wrapped powders.
5.2 Weigh 100 mg drug, dilute with 900 mg lactose, take 200 mg of mixture and mix with 1.000 g of lactose to give 1.2 g total and divide into 10 × 120 mg separately wrapped powders.
5.3 Weigh 100 mg drug, dilute with 900 mg lactose, take 100 mg of mixture, dilute with 900 mg lactose, take 800 mg of second mixture and mix with 1.600 g of lactose to give 2.4 g total and divide into 20 × 120 mg separately wrapped powders.
5.4 Weigh 100 mg drug, dilute with 900 mg lactose, take 120 mg of mixture and mix with 2.280 g of lactose to give 2.4 g total and divide into 20 × 120 mg separately wrapped powders.
6.1a 1.5 L or 1500 mL
6.1b 1.05 mL
6.1c 1 mL
6.2 0.2 g or 200 mg. No, because 300 mg of lithium carbonate requires 30 mL of water in which to dissolve.
6.3 Yes
6.4a No, because 250 milligrams of drug requires 12.5 mL of water in which to dissolve.
6.4b Yes, because 4 g of drug requires 56 mL of alcohol in which to dissolve.
6.4c Yes, because 10 micrograms of drug requires 0.0005 mL of water in which to dissolve.
6.4d No, because 1 kg of drug requires 14 L of alcohol in which to dissolve.
6.4e No, because 50 milligrams of drug requires 0.7 mL of alcohol in which to dissolve.
7.1a 18 mg per dose, 54 mg per day
7.1b 3.75 mg per dose, 11.25 mg per day
7.1c 1.5 mg per dose, 3 mg per day
7.1d 60 mg per dose, 120 mg per day
7.2a 8 mL of the syrup
7.2b 2 mg in 0.1 mL, 17 mg in 0.85 mL, 43 mg in 2.15 mL
7.2c 12 mL of the elixir
7.3 11.25 mg
7.4 94.2 mg
8.1 0.5 g or 500 mg
8.2 300 mL
8.3 122 mL
8.4 120 mL
9.1 1.6 mL/min, 313 min (5 h 13 min)
9.2 1.98 mL
10.1 12 mg