Introduction to Chemistry
Introduction to Chemistry
4th Edition
ISBN: 9781259288722
Author: BAUER
Publisher: MCG
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Chapter 1, Problem 157QP

A bicyclist is traveling at 6.7 meters per second. Which of the mathematical operation would correctly determine the speed in miles per hour?

A . 6 .7 m s × 1000 km 1 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr B . 6 .7 m s × 1 km 1000 m × 1 km 0.621 mi × 60 s 1 min × 60 min 1 hr C . 6 .7 m s × 1 km 1000 m × 0.621 mi 1 km × 60 s 1 min × 60 min 1 hr D . 6.7 m s × 1 km 1000 m × 0.621 mi 1 km × 1 min 60 s × 1 hr 60 min E . 6 .7m s × 1000 m 1 km × 0 .621 mi 1 km × 1 min 60 s × 1 hr 60 min

Explain what is wrong with the incorrect responses.

(A)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.

Explanation of Solution

The distance traveled by an object per unit time is known as speed. The SI unit of speed is meter per second m/s . It can also be measured in centimeters per second cm/s , kilometer per hour km/h , and miles per hour mi/h .

The conversion factor from m to km is expressed as follows:

1 m=0.001 km1=1 km1000 m

The conversion factor from m/s to mi/h is expressed as follows:

1 m/s=2.236 mi/hr1=2.236 mi/hr1 m/s

In the given mathematical operation 6.7 ms×1000 km1 m×0.621mi1 km×60 s1 min×60 min1 hr , the conversion factor for meters to kilometers is incorrect. It should be 1 km1000 m . Therefore, the mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the correct values of speed in mi/h .

(B)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.

Explanation of Solution

The conversion factor from km to miles is expressed as follows:

1 km=0.621 miles1=0.621 miles1 km

In the given mathematical operation 6.7 ms×1000 km1 m×1 km0.621 mi×60 s1 min×60 min1 hr , the conversion factor for kilometers to miles is incorrect. It should be 0.621miles1 km . Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .

(C)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.

Explanation of Solution

The given mathematical operation 6.7 ms×1 km1000 m×0.621 mi1 km×60 s1 min×60 min1 hr is appropriate to find the speed in miles per hour.

(D)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.

Explanation of Solution

The conversion factor from minute to second is expressed as follows:

1 min=60 s1=60 s1 min

The conversion factor from hr to min is expressed as follows:

1 hr=60 min1=60 min1 hr

In the given mathematical operation 6.7 ms×1 km1000 m×0.621 mi1 km×1 min60 s×1 hr60min , the conversion factors in the fourth and fifth steps are incorrect. It should be 60 s1 min and 60 min1 hr , respectively.

Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .

(E)

Expert Solution
Check Mark
Interpretation Introduction

Interpretation:

Whether the given mathematical operation gives the value of speed in miles per hour is correct or not is to be determined.

Explanation of Solution

The conversion factor from hr to min is expressed as follows:

1 hr=60 min1=60 min1 hr

The conversion factor from m to km is expressed as follows:

1 m=0.001 km1=1 km1000 m

The conversion factor from minute to second is expressed as follows:

1 min=60 s1=60 s1 min

In the given mathematical operation 6.7 ms×1000 m1 km×0.621 mi1 km×1 min60 s×1 hr60min , the conversion factors in the second and last two steps are incorrect. It should be 1 km1000 m , 60 s1 min , and 60 min1 hr , respectively.

Therefore, the correct mathematical operation 6.7 ms×1 km1000 m×0.621mi1 km×60 s1 min×60 min1 hr gives the values of speed in mi/h .

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Chapter 1 Solutions

Introduction to Chemistry

Ch. 1 - Solve the following problems. (a) The density of...Ch. 1 - Helium balloons rise in air. which is a mixture of...Ch. 1 - (a) The boiling point of acetylene is 28.1C. Below...Ch. 1 - Which of the following are physical properties and...Ch. 1 - Do the following molecular level images represent...Ch. 1 - Which of the two samples of argon gas is at a...Ch. 1 - Prob. 13PPCh. 1 - (a) Convert 0.0123 to scienti�c notation. (b)...Ch. 1 - Perform the following operations without using...Ch. 1 - Determine the number of signi�cant �gures in...Ch. 1 - Prob. 17PPCh. 1 - Express the answers to the following operations...Ch. 1 - Prob. 19PPCh. 1 - Round each of the following numbers to two...Ch. 1 - Convert 0.0276 kg to grams.Ch. 1 - A tablet of a typical pain reliever contains 200...Ch. 1 - The TGV POS high-speed train in France has a...Ch. 1 - Match the key terms with the following...Ch. 1 - Match the key terms with the following...Ch. 1 - Convert each of the following values to...Ch. 1 - Convert each of the following values to...Ch. 1 - Convert each of the following values from...Ch. 1 - Convert each of the following Values from...Ch. 1 - Prob. 7QPCh. 1 - For each of the following, carry out the...Ch. 1 - Determine the number of signi�cant �gures in...Ch. 1 - Determine the number of signi�cant �gures in...Ch. 1 - Express the answers to the following operations...Ch. 1 - Express the answers to the following operations...Ch. 1 - Express the answers to the following operations...Ch. 1 - Express the answers to the following operations...Ch. 1 - Express the answers to the following calculations...Ch. 1 - Express the answers to the following calculations...Ch. 1 - Round each of the following numbers to three...Ch. 1 - Round each of the following numbers to three...Ch. 1 - Carry out the following conversions. Report your...Ch. 1 - Carry out the following conversions. Report your...Ch. 1 - Carry out the following conversions. Report your...Ch. 1 - Prob. 22QPCh. 1 - Carry out the following conversions. Report your...Ch. 1 - Prob. 24QPCh. 1 - How would you classify the following items...Ch. 1 - How would you classify the following items...Ch. 1 - Which of the following are examples of matter? (a)...Ch. 1 - Which of the following are not examples of matter?...Ch. 1 - How are elements distinguished from compounds?Ch. 1 - How are homogeneous mixtures distinguished from...Ch. 1 - List characteristics of metals.Ch. 1 - List characteristics of nomnetals.Ch. 1 - Name the following elements. (a) Ti (b) Ta (c)Th...Ch. 1 - Name the following elements. (a) C (b) Ca (c) Cr...Ch. 1 - Name the following elements. (a) B (b) Ba (c) Be...Ch. 1 - Name the following elements. (a) S (b) Si (c) Se...Ch. 1 - Name the following elements. (a) N (b) Fe (c) Mn...Ch. 1 - Name the following elements. 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