The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a second-order reaction. This means that the concentration C of NO, at time t is given by 1/C = kt + 1/Co, where Co is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.03 mol/L exactly. Assume that time can be measured with negligible uncertainty. After 40 s, the concentration C is measured to be 0.0023 + 2.0 x 10-4 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate. a. After 50 s, the concentration C is measured to be 0.0018 + 2.0 x 10-4 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate. Denote the estimates of the rate constant k in parts (a) and (b) by k, and k, respectively. The average (, + k,)/2 is used as an estimate of k. Find the uncertainty b. C. in this estimate. d. Find the value of c so that the weighted average ck + (1- c)k2 has the smallest uncertainty.
The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a second-order reaction. This means that the concentration C of NO, at time t is given by 1/C = kt + 1/Co, where Co is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.03 mol/L exactly. Assume that time can be measured with negligible uncertainty. After 40 s, the concentration C is measured to be 0.0023 + 2.0 x 10-4 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate. a. After 50 s, the concentration C is measured to be 0.0018 + 2.0 x 10-4 mol/L. Estimate the rate constant k, and find the uncertainty in the estimate. Denote the estimates of the rate constant k in parts (a) and (b) by k, and k, respectively. The average (, + k,)/2 is used as an estimate of k. Find the uncertainty b. C. in this estimate. d. Find the value of c so that the weighted average ck + (1- c)k2 has the smallest uncertainty.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a
second-order reaction. This means that the concentration C of NO, at time t is given by 1/C
= kt + 1/Co, where Co is the initial concentration and k is the rate constant. Assume the
initial concentration is known to be 0.03 mol/L exactly. Assume that time can be measured
with negligible uncertainty.
After 40 s, the concentration C is measured to be 0.0023 + 2.0 x 10-4 mol/L. Estimate
the rate constant k, and find the uncertainty in the estimate.
a.
After 50 s, the concentration C is measured to be 0.0018 + 2.0 x 10-4 mol/L. Estimate
the rate constant k, and find the uncertainty in the estimate.
Denote the estimates of the rate constant k in parts (a) and (b) by k, and k,
respectively. The average (, + k,)/2 is used as an estimate of k. Find the uncertainty
b.
C.
in this estimate.
d.
Find the value of c so that the weighted average ck + (1- c)k2
has the smallest
uncertainty.
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