3-3 Types of Error; 3-4 Propagation of Uncertainty from Random Error (30 min) If A = 3.475 (+0.002), B = 87.336 (±0.001), C = 10.004 5 (10.000 5), D=11.8 (+0.2), and E=5.10 (±0.03), report the answers of the following calculations with both the absolute uncertainty and the percent relative uncertainty. a) (A - B) XE b) (C+D)/(AXE) d) [(A+B+C) x (B-C-E)] /[DXE] c) (10-) /(E/1 000) a) Answer w/ absolute uncertainty: -428 (+3) or -427.7 (+2.5) Answer w/% relative uncertainty: -428 (+0.6%) or -427.7 (+0.59%) b) Answer w/ absolute uncertainty: 1.23 (+0.01) or 1.230 (+0.013) Answer w/% relative uncertainty: 1.23 (±1%) or 1.230 (+1.1%) Answer w/ absolute uncertainty: 3 (±1) x 10-10 or 3.1 (+1.4) × 10-10 Answer w/% relative uncertainty: 3 (+50%) x 10-10 or 3.1 (146%) × 10-1⁰ d) Answer w/ absolute uncertainty: 121 (±2) or 121.0 (±1.4) Answer w/ % relative uncertainty: 121 (±2%) or 121.0 (±1.8%)
3-3 Types of Error; 3-4 Propagation of Uncertainty from Random Error (30 min) If A = 3.475 (+0.002), B = 87.336 (±0.001), C = 10.004 5 (10.000 5), D=11.8 (+0.2), and E=5.10 (±0.03), report the answers of the following calculations with both the absolute uncertainty and the percent relative uncertainty. a) (A - B) XE b) (C+D)/(AXE) d) [(A+B+C) x (B-C-E)] /[DXE] c) (10-) /(E/1 000) a) Answer w/ absolute uncertainty: -428 (+3) or -427.7 (+2.5) Answer w/% relative uncertainty: -428 (+0.6%) or -427.7 (+0.59%) b) Answer w/ absolute uncertainty: 1.23 (+0.01) or 1.230 (+0.013) Answer w/% relative uncertainty: 1.23 (±1%) or 1.230 (+1.1%) Answer w/ absolute uncertainty: 3 (±1) x 10-10 or 3.1 (+1.4) × 10-10 Answer w/% relative uncertainty: 3 (+50%) x 10-10 or 3.1 (146%) × 10-1⁰ d) Answer w/ absolute uncertainty: 121 (±2) or 121.0 (±1.4) Answer w/ % relative uncertainty: 121 (±2%) or 121.0 (±1.8%)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![3-3 Types of Error; 3-4 Propagation of Uncertainty from Random Error
(30 min) If A = 3.475 (+0.002), B = 87.336 (±0.001), C = 10.004 5 (±0.000 5), D = 11.8 (+0.2), and
E = 5.10 (±0.03), report the answers of the following calculations with both the absolute uncertainty
and the percent relative uncertainty.
a) (A - B) XE
c)
b)
(C+D)/(AXE)
d) [(A+B+C) x (B-C-E)] / [DXE]
(10-D)/(E/1000)
Answer w/ absolute uncertainty: -428 (13) or -427.7 (±2.5)
Answer w/% relative uncertainty: -428 (±0.6%) or -427.7 (±0.5⁹%)
b) Answer w/ absolute uncertainty: 1.23 (±0.01) or 1.230 (+0.013)
Answer w/ % relative uncertainty: 1.23 (±1%) or 1.230 (+1.1%)
Answer w/ absolute uncertainty: 3 (±1) x 10-10 or 3.1 (±1.4) × 10-10
Answer w/ % relative uncertainty: 3 (±50%) x 10-10 or 3.1 (±46%) × 10-10
Answer w/ absolute uncertainty: 121 (±2) or 121.0 (+1.4)
Answer w/ % relative uncertainty: 121 (±2%) or 121.0 (±1.8%)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fa38a9b-68ba-48c5-9fd0-3b3cce44ad31%2F6ad00aa5-e484-4834-997f-36c9e6463cc4%2Fhmrojz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3-3 Types of Error; 3-4 Propagation of Uncertainty from Random Error
(30 min) If A = 3.475 (+0.002), B = 87.336 (±0.001), C = 10.004 5 (±0.000 5), D = 11.8 (+0.2), and
E = 5.10 (±0.03), report the answers of the following calculations with both the absolute uncertainty
and the percent relative uncertainty.
a) (A - B) XE
c)
b)
(C+D)/(AXE)
d) [(A+B+C) x (B-C-E)] / [DXE]
(10-D)/(E/1000)
Answer w/ absolute uncertainty: -428 (13) or -427.7 (±2.5)
Answer w/% relative uncertainty: -428 (±0.6%) or -427.7 (±0.5⁹%)
b) Answer w/ absolute uncertainty: 1.23 (±0.01) or 1.230 (+0.013)
Answer w/ % relative uncertainty: 1.23 (±1%) or 1.230 (+1.1%)
Answer w/ absolute uncertainty: 3 (±1) x 10-10 or 3.1 (±1.4) × 10-10
Answer w/ % relative uncertainty: 3 (±50%) x 10-10 or 3.1 (±46%) × 10-10
Answer w/ absolute uncertainty: 121 (±2) or 121.0 (+1.4)
Answer w/ % relative uncertainty: 121 (±2%) or 121.0 (±1.8%)
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