Question: The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a second-order reaction. This means that the concentration C of NO2 at

The decomposition of nitrogen dioxide (NO2) into nitrogen monoxide (NO) and oxygen is a second-order reaction. This means that the concentration C of NO2 at time t is given by 1/C = kt + 1/C0, where C0 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.
a. After 40 s, the concentration C is measure to be 0.0023 ± 2.0 × 10−4 mol/Lm Estimate the rate constant k, and find the uncertainty in the estimate.
b. After 50 s, the concentration C is measured to be 0.0018 ± 2.0 × 10−4 mol/L, Estimate the rate constant k, and find the uncertainty in the estimate.
c. Denote the estimates of the rate constant k in parts (a) and (b) by k1 and k2, respectively. The average (k1 + k2)/2 is used as an estimate of k. Find the uncertainty in this estimate.
d. Find the value of c so that the weighted average c k1 + (1 − c) k2 has the smallest uncertainty.

Step by Step Solution

★★★★★

3.44 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a C 0 003 t 40 C 00023 C 00002 k 1t 1C1C0 140 1C 56 1004 k 1004 095 s 1 b C 0 003 t 50 C 00018 C 00... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

944-M-S-P (8496).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The Tadpole galaxy has a recession speed of 9400 km s -1 . Calculate the fractional change in the wavelength of the observed spectrum.

Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...

Mobile homes are tightly constructed for energy conservation. This can lead to a buildup of indoor pollutants. The paper A Survey of Nitrogen Dioxide Levels Inside Mobile Homes (Journal of the Air...

Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...

Please EXPLAIN and solve EACH / ALL part(s) in Question #15 ! DOUBLE CHECK YOUR WORK AND ANSWER(S) . PLEASE NEATLY SHOW ALL WORK, EXPLANATIONS , & CALCULATIONS STEP-BY-STEP USING PEN AND PAPER! I AM...

Please EXPLAIN and solve EACH / ALL part(s) in Question #9 ! DOUBLE CHECK YOUR WORK AND ANSWER(S) . PLEASE NEATLY SHOW ALL WORK, EXPLANATIONS , & CALCULATIONS STEP-BY-STEP USING PEN AND PAPER! I AM...

The Decomposition of Nitrogen Dioxide Introduction The applications of chemistry focus primarily on chemical reactions, processes that are defined by their reactants (substances that undergo change...

Nitrogen dioxide decomposes to nitrogen monoxide and oxygen in a second-order reaction. The decrease in concentration of NO 2 is shown as a function of time in the accompanying figure. Use the data...

Nitrogen dioxide, N O 2 , decomposes upon heating to form nitric oxide and oxygen according to the following equation: 2 N O 2 ( g ) 2 N O ( g ) + O 2 ( g ) At the beginning of an experiment, the...

Nitrogen dioxide, NO2, decomposes upon heating to form nitric oxide and oxygen according to the following equation: 2NO2(g) 2NO(g) + O2(g) At the beginning of an experiment, the concentration of...

please answer each part Gaseous methane (CH4) reacts with gaseous oxygen gas (O2) to produce gaseous carbon dioxide (CO2) ar gaseous water (H2O). If 0.439g of water is produced from the reaction of...

In each case find U-1 and compute dim U1 and dim U1 (a) U = span{[l 1 2 0], [3 -1 2 1], [1 -3 -2 1]} in R4 (b) U = span{[l 1 0 0]} in R4 (c) U = span{l, x} in P2 with (P. q) = P(0)q(0) + p(1)q(1) +...

The inductor shown in Fig. 30.18 has inductance 0.260 H and carries a current in the direction shown. The current is changing at a constant rate. (a) The potential between points a and b is Vab =...

Which of the following statements about composite integration methods is true? Composite integration methods use a single subinterval to approximate the integral over the entire interval. Composite...

Find the ratios of products A, B, and C using a closed model. ABC A 3.2 1 2 .6.1 5 2 8 The ratio A: B:C is :O (Type your answer in lowest terms, using an initeger for each number.)

2. Let f : [0, 1] R be given by f(x) = x and g : R [0, 1] be given by g(x) = Theorem and provide an explicit description of the bijection constructed by the proof of the theorem. : Prove that |[0,...

Let f : (0, 1] R be given by f(r) = r and g : R [0, 1] be given by g(x) = 1 Prove that |[0, 1]= R| using the Cantor-Schrder-Bernstein Theorem and provide an explicit description of the bijection...

Consider the straightforward algorithm for computing S(1, r2, r3) = V#1 1+2 2+13 *3. Estimate the relative error when computing S(r1, 2, r3) in fl-arithmetic with the unit round-off u. Use the...

Address and explain the aspects a business case should consider.

Monitoring the yield of a particular chemical reaction at various reaction vessel temperatures produces the results shown in the following table. a. Find the least-squares estimates for...

The article "Low-Temperature Heat Capacity and Thermodynamic Properties of 1,1,1-trifluoro-2,2-dichloroethane" (R. Varushchenko and A. Druzhinina, Fluid Phase Equilibria, 2002:109-119) describes an...

Consider the model y = x + , where the intercept of the line is known to be zero. Assume that values (x1, y1) , . . . , (xn, yn) are observed, and the least-squares estimate of is to be computed....

Discussion Question: Review of key economic models contributing to global public health Which models are most appropriate for tracking health care trends in low income countries

Period obs1 obs2 obs3 obs4 Sample Mean Sample Range 1 0.48 0.49 0.51 0.5 0.495 0.03 2 0.46 0.45 0.45 0.49 0.4625 0.04 3 0.51 0.53 0.45 0.51 0.5 0.08 4 0.48 0.46 0.55 0.49 0.495 0.09 5 0.48 0.5 0.52...

Data were collected from a sample of 220 patients concerning whether or not they had a certain condition and results from a blood test for the condition. Rows: Health status Columns: Blood test...