Chapter 14, Problem 5PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Experimental data are listed here for the reaction A → 2 B. (a) Prepare a graph from these data; connect the points with a smooth line; and calculate the rate of change of [B] for each 10-second interval from 0.0 to 40.0 seconds. Does the rate of change decrease from one time interval to the next? Suggest a reason for this result. (b) How is the rate of change of [A] related to the rate of change of [B] in each time interval? Calculate the rate of change of [A] for the time interval from 10.0 to 20.0 seconds.

(a)

Interpretation Introduction

Interpretation:

A graph has to be prepared from the given data and the rate of change of [B] has to be calculated.  A suggestion for the result obtained has to be given for the decrease in the rate of change from one time interval to the next.

Explanation

The graph can be prepared as,

Figure 1

The rate of change of [B] is calculated as,

â€‚Â Rateâ€‰changeâ€‰ofâ€‰[B]â€‰forâ€‰eachâ€‰10-secondâ€‰:_0-10Â sec:â€‰â€‰rateâ€‰â€‰=â€‰â€‰Î”[B]Î”t=â€‰0.32-0.010-0â€‰=â€‰0.0326â€‰mol/L10-â€‰20â€‰sec:â€‰â€‰rateâ€‰â€‰=â€‰â€‰Î”[B]Î”t=â€‰0

(b)

Interpretation Introduction

Interpretation:

The rate of change of [A] at the given time interval has to be calculated.

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