Laboratory Techniques in Organic Chemistry
4th Edition
ISBN: 9781464134227
Author: Jerry R. Mohrig, David Alberg, Gretchen Hofmeister, Paul F. Schatz, Christina Noring Hammond
Publisher: W. H. Freeman
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Question
Chapter 5, Problem 7Q
Interpretation Introduction
Interpretation:
The absolute uncertainty ( e ) for the given expression should be predicted.
Concept Introduction:
Absolute uncertainty is the margin of uncertainty that is associated with the measurement. The comparison of size of the absolute uncertainty to the size of associated measurement is given by the expression as shown below:
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1) Perform the indicated mathematical operations. State the uncertainty of the final answer as ±
1-digit variation in the least significant digit. (remember that the last significant digit's place
holder is the most uncertain digit!)
7.700 x 2.1 =
uncertainty:
2.132 + 17 + 4.04 =
uncertainty:
27000 + 500 =
uncertainty:
30.0 x 50.0 =
uncertainty:
(9.6 × 107)(1.24 × 10³)_
uncertainty:
1.897 x 102
Perform the calculations and determine the absolute and percent relative uncertainty. Express each answer with the correct
number of significant figures. To avoid rounding errors, do not round your answers until the very end of your calculations.
[9.8 (+0.3) - 2.31 (+0.01)]
8.5 (+0.6)
absolute uncertainty: +
percent relative uncertainty: + 8
9.2 (+0.4) × ([5.4 (±0.3) × 10−³] + [5.6 (±0.1) × 10−³]) =
absolute uncertainty: ± 0.005
percent relative uncertainty: +
%
%
548.8 + 0.2 x 55.4±0.6
(1142.9 ± 0.6 – 171.0±0.5)
ANS:
Absolute uncertainty:
Percent uncertainty:
Chapter 5 Solutions
Laboratory Techniques in Organic Chemistry
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