By Annie Davis
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7. 7, so that only two signiﬁcant ﬁgures are reported. 5. The characteristic of a logarithm indicates an order of magnitude; it has no uncertainty and does not affect the number of signiﬁcant ﬁgures in a calculation. The mantissa should contain no more signiﬁcant ﬁgures than are in the original number. 1038. 104. The pH of a solution equals the negative logarithm of the hydrogen ion concentration. 466. 42. 6. If several analyses have been obtained for a particular sample (replicate analysis), it should be noted at what point there is doubt in the signiﬁcant numbers of the 24 Chapter 1 result.
Such chiral compounds can be distinguished from each other by interaction with something else that possesses chirality or by interaction with plane-polarized light. Chiral compounds will interact differently with other chiral molecules, and this interaction forms the basis of chiral chromatography. Chiral chromatography (Chapter 13) can be used to separate the two erythrose compounds shown. Chiral compounds also differ in their behavior toward plane-polarized light, and the technique of polarimetry can be used to distinguish them.
Why place all this emphasis on signiﬁcant ﬁgures? When you know the limitations of a measurement in terms of its uncertainty, you can design an analytical method efﬁciently. If you can only read the absorbance of light in a spectrometric measurement to three signiﬁcant ﬁgures (a typical value), it is a waste of time to weigh the sample to ﬁve signiﬁcant ﬁgures. 2. Accuracy and Precision It is very important to understand the deﬁnitions of accuracy and precision and to recognize the difference between precision and accuracy.
Animal World by Annie Davis