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Volume 2.3

85

2.3Volume

2.3.1The Concepts of Volume Measurement

It does not seem that it should be difficult to calculate the volume of any given container. First you establish a unit of volume, then you base everything on that unit. Despite the apparent simplicity of such a process, two widely divergent approaches to calculating a volume unit have developed.

One approach established that a liter was the volume of space occupied by the mass of one kilogram of distilled water (at 4°C and 30 inches of mercury). The other approach required a given length measurement to be defined (one decimeter), and then it defined the cube of that measurement as the volume measurement (one liter).

The original idea of the metric system was that either approach would provide the same unit of metric volume. Unfortunately, it did not work because of the subtle differences in density caused by subtle differences in temperature. Thus, the kilogram-based milliliter equaled 1.000,027 cubic centimeters. Because of the discrepancy, the International System for Weights and Measures had to make a choice between which approach would be accepted to obtain volume measurements, and the nod was eventually given to the cubic length technique. The use of liters and milliliters in volumetric ware is therefore misleading because the unit of volume measurement should be cubic meters (cubic centimeters are used as a convenience for smaller containers). The International System of Units (SI) and the ASTM accept the use of liters and milliliters in their reports, provided that the precision of the material does not warrant cubic centimeters. Because the actual difference in one cubic centimeter is less than 3 parts in 100,000, for most work it is safe to assume that 1 cm3 is equal to 1 mL.

2.3.2 Background of Volume Standards

Rigorous standards have been established for volumetric ware. These standards control not only specific standards of allowable error for volumetric ware, but the size of the containers, the materials of construction, their bases, shapes, and sizes, the length and width of index lines, and how those lines are placed on the glass or plastic. The painstaking work to establish these guidelines was done by agencies such as the NIST (National Institute of Standards and Technology), the ASTM (American Society for Testing and Materials), and the ISO (International Standards Organization)

Occasionally you may see references to Federal Specification numbers. For example, the Federal Specification number NNN - C 940-C is for graduated cylinders. All Federal Specification numbers are no longer being updated, and these specifications are being superseded by those established by the ASTM. The preceding number for graduated cylinders is now under the specifications of ASTM 1272-89. All ASTM documents are identified by a designation number. If there

86

 

 

Measurement

Table 2.6 Cross Comparison of Class A Volumetric Ware (25 mLf

Item

Class A

Item

Class A

Graduated Cylinder

+0.17 mL

Volumetric pipette

±0.03 mL

Volumetric Flask

±0.03 mL

Measuring pipette

±0.05 mL

Burette

±0.03 mL

Serological pipette

(only Class B & lower)

" Based on ASTM guidelines.

are updates to any document, the number will be followed by the acceptance year of the update. For example, the preceding example ASTM document cited shows that it was accepted by the ASTM for publication in 1989. If there is a conflict in ASTM guidelines, the document with the later publication date takes precedence.

All manufacturers abide by the standards set by these organizations. Therefore with the exception of quality and control, one manufacturer's volumetric ware (of comparable type) should not be more accurate than another manufacturer's. It is important to keep these guidelines in mind so that ASTM standards are not allowed to be used as marketing hype.

Manufacturers refer to these standards in their catalogs, both to let you know what you are buying and to enhance importance that may not otherwise be there. For instance, only glassware made to specific established tolerances can have the symbol of "A" or "Class A" on their sides, signifying highest production quality. For example, for a standard tolerance graduated cylinder, you may see statements in catalogs like "... conforms to ASTM Type I, Style 1 specs for volumetric ware." This description translates to mean "the graduated cylinder is made out of borosilicate glass (Type I) and has a beaded lip with a pour spout (Style 1)." In reality, this enhanced description is harmless and is much safer than statements saying "the most accurate graduated cylinder in town."

Do not let the designation Class A mean more than it was meant to. Class A can only mean that it is the best tolerance readily available for that specific type of volumetric ware. Class A volumetric ware is not consistent across volumetric ware type. For example, a Class A volumetric pipette does not have the same degree of tolerance as a Class A measuring pipette. Equally, a Class A graduated cylinder does not have the same degree of tolerance as a Class A volumetric flask. See Table 2.6 for a representative cross comparison of Class A tolerances.

In addition, do not be misled by ASTM designations. The words "Class," "Style," and "Type" are constantly used to describe different attributes to different types of variables in ASTM literature. They seldom refer to the same attribute. Thus it is important to know what the identifying word is attributed to before assuming that you know what it is signifying. An example of these differences are shown in Table 2.7. The ASTM always refers to itself in its own specifications for equipment when describing one of its own procedures for a given test. That is, when they are performing a test, they must ensure that their guidelines are used when their equipment is selected. However, when you see manufacturer state-

Volume 2.3

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ments in catalogs describing (for example) a graduated cylinder that "... meets specifications of ASTM E133 for use in tests D86, D216, D285, D447, and D 850

...," all the manufacturer is saying is that if you are performing any of these particular ASTM tests, this graduated cylinder satisfies ASTM requirements for use. However, if the graduated cylinder meets ASTM El 33 requirements, by definition it can be used for tests D86, D216, etc. These descriptive entries not only are confusing if you are unfamiliar with the numbers, but also provide blah-blah for marketing.

2.3.3 Categories, Markings, and Tolerances of Volu-

metric Ware

There are four categories of containers used to measure volume: volumetric flasks, graduated cylinders, burettes, and pipettes. Of the four, volumetric flasks are used exclusively to measure how much has been put into them. This use is known as "to contain." Graduated cylinders and a few pipettes are used to measure how much has been put into them as well as how much they can dispense. The latter measurement is known as "to deliver." Burettes and most pipettes are used solely to deliver.

The term to deliver is based on the concept that when you pour a liquid out of a glass container, some of that liquid will remain on the walls of that container. Because not all of the measured liquid is completely transferred, the material left behind should not be considered part of the delivered sample. Pipettes have two different types of to deliver. One which requires you to "blow out" the remaining liquid, and one that does not. Some volumetric containers are made out of plastic which does not "wet" like glass. Because these containers drain completely, the to contain is the same as the to deliver. Because some materials (i.e., mercury) do not "wet" the walls of any container, they should be used with only to contain measuring devices.

The abbreviations TC and TD are commonly used to denote to contain and to deliver, respectively, in the United States. Old glassware might be labeled with a simple "C" or "D." The ISO (International Standards Organization) uses the

Table 2.7 "Style" Has Different Meanings'3

Graduated Cylinder Pharmaceutical Cylinder

Here the term "Style" refers to the physical structure of the opened end.

Here the term "Style" refers to the calibrations.

Style 1

Beaded lip with pouring spout

Metric calibration

Style 2

Top with ground glass stopper

English (in.-lb) calibrations

Style 3

Beaded lip with pouring spout and

Both English and metric calibrations.

 

reinforced rim

 

a From ASTM specifications E 1094-86 (Standard Specification for Pharmaceutical Glass Graduates) and E 1272-89 (Standard Specification for Graduated Cylinders).

88 Measurement

The stated volume of a flask will approximately fill to where the neck attaches to the flask.

Fig. 2.13 The volume of flasks

abbreviations IN for to contain and EX for to deliver. These abbreviations come from the Latin root found in intra (within) and extra (out of). This classification has been accepted for use in the United States by the ASTM and is slowly being introduced by U.S. manufacturers. Because there have been no formal deadlines set, manufacturers are waiting for their current silkscreen printing setups to wear out by attrition and then replacing them using the new classification. Although some volumetric ware may be labeled with both English and metric calibrations, glassware is seldom labeled with both TD and TC calibrations. If you are ever using a volumetric container that is double-labeled, be careful that you are reading the scale relevant to what you are doing.

Other common laboratory containers such as beakers, round bottom flasks, and Erlenmeyer flasks often have a limited graduated volume designated on their sides. These markings provide an approximate volume and cannot be used for quantitative work. The required accuracy of these containers is only 5% of volume. When there are no calibration lines on a flask, it still is possible to obtain an approximate volume measurement based on the stated volume: In general, the stated volume will approximately fill any given nonvolumetric container to the junction of the neck and container (see Fig. 2.13). Thus, if you need about 500mL of water, it is safe to fill a 500-mL flask up to the neck and you will have approximately the needed volume.

The quality of any given volumetric ware is based on how accurate any given calibration line will deliver the amount it claims. For example, say that a one-liter flask is accurate to ±5%, meaning that the flask is likely to contain anywhere from 950 mL to 1050 mL of liquid. For comparison, a one-liter Class B volumetric flask is accurate to ±0.60 mL, or +0.06% accuracy, and a one-liter Class A is accurate to ±0.30 mL, or ±0.03% accuracy. Needless to say, it costs more for greater accuracy.

Precision volumetric glassware must be made following the standards set by ASTM Standards E542 and E694. These standards establish not only the degree of tolerance, but how the container is to be made, how the lines are engraved, the width and length of calibration lines, the type of glass used, the design and type of base (if any), the flow rate of liquids through tips, and many other limitations. In

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