Logarithms significant figures for

Note Significant figures for logarithms is equal to the number of significant figures in the mantissa. 

At this point we need to discuss significant figures for logarithms. The rule is that the number of decimal places in the log is equal to the number of significant figures in the original number. Thus... 

At this point we need to discuss significant figures for logarithms. The rule is that the... 

For base-10 logarithms, the rules governing significant figures are as follows ... 

The rules for significant figures involving natural logarithms and inverse logarithms are somewhat more complex than those for base-10 logs. However, for simplicity we will assume that the rules listed above apply here as well. Thus... 

Figure 2 Graphical presentations of linearity plot of a caffeine sample using HPLC. Plotting the sensitivity (response/amount) gives a clear indication of the linear range. Plotting the amount on a logarithmic scale has a significant advantage for wide linear ranges. Rc = line of constant response.

In this unit you will find explanations, examples, and practice dealing with the calculations encountered in the chemistry discussed in this book. The types of calculations included here involve conversion factors, metric use, algebraic manipulations, scientific notation, and significant figures. This unit can be used by itself or be incorporated for assistance with individual units. Unless otherwise noted, all answers are rounded to the hundredth place. The calculator used here is a Casio FX-260. Any calculator that has a log (logarithm) key and an exp (exponent) key is sufficient for these chemical calculations. 

Figure 24. Logarithm of D plotted against pressure of CO2 for oxygen (open circles) and carbon (solid circles) in calcite reacted with 62 at 800°C. Note that the diffusivity for carbon exhibits a significant decrease with increasing P(C02), whereas the oxygen shows no obvious trend because of considerable scatter in the data. Decreasing D with increasing P is expected for dry systems and yields a positive activation volume. Results from Labotka et al. (1999).

To represent pH to the appropriate number of significant figures, you need to know the following mle for logarithms ... 

When calculating the antilogarithm of a number, the resulting value should have the same number of significant figures as the mantissa in the logarithm. For example ... 

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