×
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3 - Problem 19se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 3 - Problem 19se

×

# The decomposition of nitrogen dioxide (NO2) into nitrogen

ISBN: 9780073401331 38

## Solution for problem 19SE Chapter 3

Statistics for Engineers and Scientists | 4th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Statistics for Engineers and Scientists | 4th Edition

4 5 1 432 Reviews
28
1
Problem 19SE

Problem 19SE

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 = k t + 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 measured to be 0.0023 ± 2.0 x 10-4 mol/L. 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 ihe estimates of the rate constant k in parts (a) and (b) by  and  respectively. The average  is used as an estimate of k. Find the uncertainty in this estimate.

d. Find the value of c so that the weighted average  has the smallest uncertainty.

Step-by-Step Solution:

Step 1 of 5:

Given, the decomposition of nitrogen dioxide (into nitrogen monoxide (NO) and oxygen is a second order reaction.

This means that the concentration C of at time ‘t’ is given by:

….. (1)

Where, is the initial concentration and k is the rate constant.

Assume the initial concentration is known to be 0.03 mol/L exactly.

Step 2 of 5

Step 3 of 5

#### Related chapters

Unlock Textbook Solution