# Distinguish between instantaneous rate and average rate. In each of the following situations, is the rate measured the instantaneous rate or the average rate? In a hot dog eating contest, it took the winner only 4 minutes to eat 20 hot dogs, so he ate 5 hot dogs per minute. At minute 1.0, the winner was eating 6 hot dogs per minute, but at minute 3.0, he was down to only 3 hot dogs per minute.

### Chemistry for Engineering Students

3rd Edition
Lawrence S. Brown + 1 other
Publisher: Cengage Learning
ISBN: 9781285199023

### Chemistry for Engineering Students

3rd Edition
Lawrence S. Brown + 1 other
Publisher: Cengage Learning
ISBN: 9781285199023
Chapter 11, Problem 11.13PAE
Textbook Problem
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## Distinguish between instantaneous rate and average rate.In each of the following situations, is the rate measured the instantaneous rate or the average rate? In a hot dog eating contest, it took the winner only 4 minutes to eat 20 hot dogs, so he ate 5 hot dogs per minute. At minute 1.0, the winner was eating 6 hot dogs per minute, but at minute 3.0, he was down to only 3 hot dogs per minute.

(a)

Interpretation Introduction

Interpretation:

The difference between instantaneous and average rates must be explained and the given situation should be classified accordingly.

Concept Introduction:

• Chemical reactions proceed at a certain rate which is represented in terms of the change in concentration over a certain period of time
• The rate can be expressed either in terms of a decrease in concentration of the reactants or an increase in the concentration of products.

### Explanation of Solution

Instantaneous rate can be defined as the rate of a reaction at a particular instant in time. It is given by the slope of the line tangent to the curve at a single point.

Average rate can be defined as the difference in the concentrations measured at two different times...

(b)

Interpretation Introduction

Interpretation:

The difference between instantaneous and average rates must be explained and the given situation should be classified accordingly.

Concept Introduction:

• Chemical reactions proceed at a certain rate which is represented in terms of the change in concentration over a certain period of time
• The rate can be expressed either in terms of a decrease in concentration of the reactants or an increase in the concentration of products.

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