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Quantitative Chemical Analysis | 8th Edition | ISBN: 9781429218153 | Authors: Daniel C. Harris
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Solved: Find the absolute and percent relative uncertainty and express each answer with

Chapter 3, Problem 3-16

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QUESTION:

Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures. (a) 9.23 (0.03) 4.21 (0.02) 3.26 (0.06) ? (b) 91.3 (1.0) 40.3 (0.2)21.1 (0.2) ? (c) [4.97 (0.05) 1.86 (0.01)]21.1 (0.2) ? (d) 2.016 4 (0.000 8) 1.233 (0.002) 4.61 (0.01) ? (e) 2.016 4 (0.000 8) 103 1.233 (0.002) 102 4.61 (0.01) 101 ? (f) [3.14 (0.05)]1/3 ? (g) log[3.14 (0.05)] ? 3-17. Verify the followin

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QUESTION:

Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures. (a) 9.23 (0.03) 4.21 (0.02) 3.26 (0.06) ? (b) 91.3 (1.0) 40.3 (0.2)21.1 (0.2) ? (c) [4.97 (0.05) 1.86 (0.01)]21.1 (0.2) ? (d) 2.016 4 (0.000 8) 1.233 (0.002) 4.61 (0.01) ? (e) 2.016 4 (0.000 8) 103 1.233 (0.002) 102 4.61 (0.01) 101 ? (f) [3.14 (0.05)]1/3 ? (g) log[3.14 (0.05)] ? 3-17. Verify the followin

ANSWER:

Step 1 of 8

The non-place-holding digits in a reported measurement are called significant figures.

 We apply general rules of significant figures.

  • All nonzero digits are significant figures
  •  Interior zero i.e zero between two numbers are significant.
  • Trailing zero i.e zero after a decimal point are significant
  • Leading zero i.e zero to the left of the first nonzero number is not significant. They only serve to locate the decimal point .
  • Zero at the end of a number but before a decimal point is ambiguous and should be avoided by using scientific notation.

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