Introductory Chemistry: An Active Learning Approach
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN: 9781305079250
Author: Mark S. Cracolice, Ed Peters
Publisher: Cengage Learning
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Chapter 3, Problem 20E
Interpretation Introduction

(a)

Interpretation:

The equivalency and both conversion factor a) hours and days is to be stated.

Concept introduction:

Equivalency is defined as the two quantities that are equivalent in value. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

Expert Solution
Check Mark

Answer to Problem 20E

The equivalency of a) hours and days is 24 hour = 1 day

Conversion factor of a) hours and days is given by;

24 hour1day and 1day24 hour

Explanation of Solution

The two quantities that are equivalent in value is denoted as equivalence. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

0.025 furlong = 1 rod (and)0.025 furlong1 rod (and) 1 rod0.025 furlong...(1)

In the expression (1), the conversion factor 1 rod / 0.025 furlong is used to convert a length expressed in furlongs to a length expressed in rods. Two variable, x and y are directly proportional if there is a non-zero constant k which connect them in the form of y = kx. Besides, the relationship is expressed as y α x. In the expression the symbol α is called as ‘is proportional to’.

A proportionality constant, m is inserted to convert a proportionality into an equality. Such as,

y = mx...(2)

Given expression;

a) hours and days

Based on the above discussion the equivalency and conversion factors are states as follows;

The equivalency of a) hours and days is 24 hours = 1 day

Conversion factor of a) minutes and seconds is given by;

24 hour1day and 1day24 hour

Conclusion

Thus, the equivalency and both conversion factor a) hours and days is stated.

Interpretation Introduction

(b)

Interpretation:

The equivalency and both conversion factor b) gallons and quarts is to be stated.

Concept introduction:

Equivalency is defined as the two quantities that are equivalent in value. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

Expert Solution
Check Mark

Answer to Problem 20E

The equivalency of b) gallons and quarts is 1 gallon = 4 quart

Conversion factor of b) gallons and quarts is given by;

1 gallon 4 quart and 4 quart 1 gallon 

Explanation of Solution

The two quantities that are equivalent in value is denoted as equivalence. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

0.025 furlong = 1 rod (and)0.025 furlong1 rod (and) 1 rod0.025 furlong...(1)

In the expression (1), the conversion factor 1 rod / 0.025 furlong is used to convert a length expressed in furlongs to a length expressed in rods. Two variable, x and y are directly proportional if there is a non-zero constant k which connect them in the form of y = kx. Besides, the relationship is expressed as y α x. In the expression the symbol α is called as ‘is proportional to’.

A proportionality constant, m is inserted to convert a proportionality into an equality. Such as,

y = mx...(2)

Given expression;

b) Gallons and quarts

Based on the above discussion the equivalency and conversion factors are states as follows;

The equivalency of b) gallons and quarts is 1 gallon = 4 quart

Conversion factor of b) gallons and quarts is given by;

1 gallon 4 quart and 4 quart 1 gallon 

Conclusion

Thus, the equivalency and both conversion factor b) gallons and quarts is stated.

Interpretation Introduction

Interpretation:

(c)

The equivalency and both conversion factor c) quarters and dollars is to be stated.

Concept introduction:

Equivalency is defined as the two quantities that are equivalent in value. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

Expert Solution
Check Mark

Answer to Problem 20E

The equivalency of c) quarters and dollars is 1 quarter = 0.25 dollars

Conversion factor of c) quarters and dollars is given by;

1 quarters 0.25 dollars and 0.25 dollars 1 quarters

Explanation of Solution

The two quantities that are equivalent in value is denoted as equivalence. For example: 0.025 furlong is equal to 1 rod. In this case, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

0.025 furlong = 1 rod (and)0.025 furlong1 rod (and) 1 rod0.025 furlong...(1)

In the expression (1), the conversion factor 1 rod / 0.025 furlong is used to convert a length expressed in furlongs to a length expressed in rods. Two variable, x and y are directly proportional if there is a non-zero constant k which connect them in the form of y = kx. Besides, the relationship is expressed as y α x. In the expression the symbol α is called as ‘is proportional to’.

A proportionality constant, m is inserted to convert a proportionality into an equality. Such as

y = mx...(2)

Given expression;

c) quarters and dollars

Based on the above discussion the equivalency and conversion factors are states as follows;

The equivalency of c) quarters and dollars is 1 quarters = 0.25 dollars

Conversion factor of c) quarters and dollars is given by;

1 quarters 0.25 dollars and 0.25 dollars 1 quarters

Conclusion

Thus, the equivalency and both conversion factor c) quarters and dollars is stated.

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Chapter 3 Solutions

Introductory Chemistry: An Active Learning Approach

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