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Ординатура / Хирургия / Библиотека им академика М.И. Перельмана / Книга_5576_Библиотеки_им_академика_М_И_Перельмана

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Common instruments for the pharmaceutical measurement of volume range from micropipettes and burettes used in analytic procedures to large, industrial-size calibrated vessels. The selection of measuring instrument should be based on the level of precision required. In pharmacy practice, the most common instruments for measuring volume are cylindrical and conical (cone-shaped) graduates (Fig. 3.1). For the measurement of small volumes, however, the pharmacist often uses a calibrated syringe or, when required, a pipette.
FIGURE 3.1 Examples of conical and cylindrical graduates, a pipette, and a pipette-filling bulb for volumetric measurement.
Whereas cylindrical graduates are calibrated in SI or metric units, conical graduates are usually dual scale, that is, calibrated in both metric and apothecary units of volume. Both glass and plastic graduates are commercially available in a number of capacities, ranging from 5 to 1000 mL and greater.
As a general rule, it is best to select the graduate with a capacity equal to or just exceeding the volume to be measured. Measurement of small volumes in large graduates increases the potential for error. The design of a volumetric apparatus is an important factor in measurement accuracy; the narrower the bore or chamber, the lesser the error in reading the meniscus and the more accurate the measurement (Fig. 3.2). According to the United States Pharmacopeia, a deviation of ±1 mm in the reading of the meniscus when using a 100-mL cylindrical graduate results in an error of
approximately 0.5 mL and 1.8 mL at the 100-mL mark when using a 125­mL conical graduate.
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FIGURE 3.2 Volume error differentials due to instrument diameters. (A) Volumetric pipette; (B) cylindrical graduate; and (C) conical graduate.
It is essential for the pharmacist to select the proper type and capacity of instrument for volumetric measure and to carefully observe the meniscus at eye level to achieve the desired measurement.
Measurement of Weight
There is a wide range of weights, balances, and scales available for pharmaceutical measurement. The proper selection depends upon the particular task at hand. Standard prescription balances and highly sensitive electronic balances generally suffice in traditional pharmaceutical compounding, whereas large-capacity scales are used in the industrial manufacture of pharmaceutical products. Whichever instrument is used, however, it must meet established standards for sensitivity, accuracy, and capacity.
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A differentiation may be made between a scale and a balance. A scale measures a single object’s weight (think of a bathroom scale). A scale reading will differ if the gravity is different, that is, less at higher elevations and greater at sea level. A balance uses a lever and fulcrum, or a pivoting point, to compare the masses of two different objects. A weight of known mass is used to measure the substance being weighed. A balance is more precise than a scale. Analytical balances are characterized by a precision/capacity ratio of 1/500,000 or better and a readability of 0.1 mg or better. Microbalances have readabilities as low as 0.001 mg, and
ultramicrobalances have readabilities as low as 0.0001 mg.
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Balances of all types are available from several manufacturers including OHAUS Corporation (https://us.ohaus.com/en-US/products-13), Sartorius Corporation (https://www.sartorius.com/us-en/products/weighing), and A&D Weighing (http://www.andonline.com/weighing/).
Some terminology associated with balances and scales is presented in
Table 3.1.
TABLE 3.1 SOME TERMINOLOGY ASSOCIATED WITH
BALANCES AND SCALES
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Sources: Scales Online, https://www.scalesonline.com/ScaleTerminology; and USP 43/NF 38, General Chapters. <1251> Weighing on an Analytical Balance.
Class A prescription balances (Fig. 3.3) are designed for the weighing of medicinal or pharmaceutical substances required in the filling of prescriptions or in small-scale compounding. Some prescription balances have a weighbeam and rider, and others a dial, to add up to 1 g of weight. As required, additional external weights may be added to the right-hand balance pan. The material to be weighed is placed on the left-hand pan. Powder papers are added to each pan before any additions, and the balance is leveled by leveling feet or balancing screws. Weighings are performed through the careful portion-wise (by spatula) addition and removal of the material being weighed, with the balance being arrested (pans locked in place by the control knob) during each addition and removal of material and unarrested with the lid closed for determinations of balance rest points.
When the unarrested pans neither ascend nor descend, and the index plate shows the needle is in the center, the material and balance weights are considered equivalent. The student may wish to refer to other sources, such as the United States Pharmacopeia, for more detailed information on the
proper use and testing of the prescription balance.
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FIGURE 3.3 Torbal torsion balance. (Courtesy of Scientific Industries, Torbal Division.)
Minimally, a Class A prescription balance should be used in all prescription compounding procedures. Balances of this type have a sensitivity requirement (SR) of 6 mg or less with no load and with a load of 10 g in each pan. To avoid errors of >5% when using this balance, the
pharmacist should not weigh <120 mg of material (i.e., a 5% error in a weighing of 120 mg = 6 mg). Most commercially available Class A
balances have a maximum capacity of 120 g.
The term sensitivity requirement is defined as the load that will cause a change of one division on the index plate of the balance. It may be determined by the following procedure:
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1. Level the balance.
2. Determine the rest point of the balance.
3. Determine the smallest weight that causes the rest point to shift one division on the index plate.
For greater accuracy than a Class A prescription balance allows, many pharmacies utilize high-precision electronic analytical balances to weigh very small quantities (Fig. 3.4). Many of these balances are capable of accurately weighing 0.1 mg, are self-calibrating, and are equipped with convenient digital readout features. The usual maximum capacities for balances of this precision range from about 60 to 210 g depending upon the model. A set of metric weights that may be used to weigh materials on a prescription balance and/or used to calibrate an analytical balance is shown in Figure 3.5.
FIGURE 3.4 Sartorius BasicLite analytical balance. (Copyright © Sartorius AG. Image provided by courtesy of Sartorius AG.)
FIGURE 3.5 Set of metric weights. (Courtesy of Mettler­Toledo, Inc.)
Aliquot Method of Weighing and Measuring
When a degree of precision in measurement that is beyond the capacity of the instrument at hand is required, the pharmacist may achieve the desired precision by calculating and measuring in terms of aliquot parts. An aliquot is a fraction, portion, or part that is contained an exact number of times in another.
Weighing by the Aliquot Method
The aliquot method of weighing is a method by which small quantities of a substance may be obtained within the desired degree of accuracy by
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weighing a larger-than-needed portion of the substance, diluting it with an inert material, and then weighing a portion (aliquot) of the mixture calculated to contain the desired amount of the needed substance. A stepwise description of the procedure is depicted in Figure 3.6 and is described as follows:
FIGURE 3.6 Depiction of the aliquot method of weighing using the example described in the text.
Preliminary Step. Calculate the smallest quantity of a substance that can be weighed on the balance with the desired precision.
The equation used:
On a balance with an SR of 6 mg, and with an acceptable error of no >5%, a quantity of not <120 mg must be weighed.
Step 1. Multiply the desired quantity by a factor that will produce a quantity that can be weighed with the required precision.
If the quantity of an active ingredient is less than the minimum weighable amount determine a “multiplier” for the required quantity that will yield an amount equal to or greater than the minimum weighable amount. Ideally, the amount to be weighed should be a quantity that can be accurately measured by the instrument to be used (i.e., a whole number rather than a decimal fraction). A larger-than-necessary multiplier may be used to exceed the minimum accuracy desired, but should not produce an amount that is more than two times greater than the minimum weighable amount to avoid using an unnecessary amount of active ingredient.
Example: Using the balance in the example in the preliminary step, what multiplier should be used to weigh 5 mg of a drug substance?
A multiplier of 24 can be used as follows: 5 mg × 24 = 120 mg, which would produce an amount that can be weighed with the desired 5% accuracy A multiplier of 30 can also be used: 5 mg × 30 = 150 mg, which would produce an amount that can be accurately weighed without too much waste A multiplier of 20 would produce the following result: 5 mg × 20 = 100 mg, which would be an amount less than the minimum weighable amount A multiplier of 50 would produce an excessive amount of the drug as shown: 5 mg × 50 = 250 mg, which is more than twice the minimum weighable amount
STEP 2. Select an aliquot amount that can be weighed with the required precision.
The guidelines for selecting the aliquot amount are as follows:
The amount should be equal to or greater than the minimum weighable amount determined in the preliminary step. The amount should be a quantity that can be accurately measured by the instrument to be used (i.e., a whole number rather than a decimal fraction). The amount should not be larger than twice the minimum weighable amount to avoid using an unnecessary amount of diluent.
Example: According to the preliminary step, 120 mg or more must be weighed for the desired accuracy. Therefore, any whole number between 120 and 240 mg (e.g., 140 mg) can be chosen for the aliquot.
STEP 3. Determine the amount of inert diluent to add to the active ingredient.
The total weight to which to dilute the active ingredient is determined by multiplying the weight of the aliquot selected in Step 2 by the multiplier used in Step 1. The amount of diluent is then calculated by subtracting the amount of active ingredient determined in Step 1 from the total weight of the dilution.
Example: If we decide on 140 mg for the aliquot portion in Step 2, and multiply it by the multiplier selected in Step 1 (i.e., 24), we arrive at 3360 mg for the total quantity of the drug–diluent mixture to prepare. Subtracting 120 mg of drug weighed in Step 1, we must add 3240 mg of diluent to prepare the 3360 mg of drug–diluent mixture.
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STEP 4. Clearly convey the quantities calculated and check for accuracy.
The quantities calculated previously should be clearly written, preferably in steps, as follows:
1. Weigh amount determined in Step 1 of active ingredient.
2. Weigh amount determined in Step 3 of diluent.
3. Combine active ingredient and diluent. Mix thoroughly.
4. Weigh aliquot amount determined in Step 2 from mixture.
The steps mentioned can be checked for accuracy using the following formula:
If the answer to this formula results in the amount of active ingredient initially required in the preparation, then the correct numbers have been conveyed and calculated in the process.
Example:
Listing the quantities calculated in clear instructions:
Weigh 120 mg of drug
Weigh 3240 mg of diluent
Combine drug and diluent. Mix thoroughly.
Weigh 140 mg from the mixture to obtain 5 mg of drug.
Proof:
Example Problems
1. A torsion prescription balance has a sensitivity requirement of 6 mg.
Explain how you would weigh 4 mg of atropine sulfate with an accuracy of ±5%, using lactose as the diluent.
Because 6 mg is the potential balance error, 120 mg is the smallest amount that should be weighed to achieve the required precision as shown in the previous example problem. STEP 1. Choosing 30 as the multiplier, the amount of drug to weigh would be: 4 mg atropine sulfate × 30 = 120 mg atropine sulfate to weigh
STEP 2. The weight of the aliquot can arbitrarily be set as 150 mg.
STEP 3. The weight of lactose can be determined as follows:
150 mg aliquot × 30 = 4500 mg dilution 4500 mg dilution – 120 mg atropine sulfate = 4380 mg × 1 g/1000 mg = 4.38 g lactose STEP 4. The directions for weighing utilizing the amounts calculated previously are shown here: Weigh 120 mg of atropine sulfate. Weigh 4.38 g of lactose. Combine atropine sulfate and lactose. Mix thoroughly. Weigh 150-mg aliquot from mixture to obtain 4 mg atropine sulfate.
Proof:
In this example, the weight of the aliquot was arbitrarily set as 150 mg, which exceeds the weight of the multiple quantity. If 120 mg had been set as the aliquot, the multiple quantity should have been diluted with 3480 mg (3.48 g) of lactose to get 3600 mg of dilution, and the aliquot of 120 mg would have contained 4 mg of atropine sulfate.
2. An electronic balance has a sensitivity requirement of 2.5 mg. Explain
how you would weigh 1.5 mg of hyoscyamine sulfate with an accuracy of ±5%, using lactose as the diluent.
Preliminary Step.
STEP 1. Choosing 40 as the multiplier, the amount of drug to weigh would be:
1.5 mg hyoscyamine sulfate × 40 = 60 mg hyoscyamine sulfate to weigh
STEP 2. The weight of the aliquot can be set as 50 mg. STEP 3. The weight of lactose can be determined as follows:
50 mg aliquot × 40 = 2000 mg dilution 2000 mg dilution – 60 mg hyoscyamine sulfate = 1940 mg × 1 g/1000 mg = 1.94 g lactose Step 4. The directions for weighing utilizing the amounts calculated previously are shown here: Weigh 60 mg of hyoscyamine sulfate. Weigh 1.94 g of lactose. Combine hyoscyamine sulfate and lactose. Mix thoroughly. Weigh 50-mg aliquot from mixture to obtain 1.5 mg hyoscyamine sulfate.
Proof:
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