(a) Interpretation: The given measurement is to be divided and the answer is rounded off to the proper significant digit. Concept introduction: In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Question

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Answer 1

Question

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

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Answer 2

Question

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

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Answer 3

Question

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

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Answer 4

Question

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

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Answer 5

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

Answer 6

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Answer 7

Chapter PSS, Problem 27E

Interpretation Introduction

(a)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Answer 8

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 8.8 g/mL.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

The given measurement is 66.3 g/7.5 mL. The measurement of 66.3 g has three significant digits and 7.5 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

66.3 g/7.5 mL=8.84 g/mL

Hence, the rounded off answer up to two significant digits is 8.8 g/mL.

Answer 13

Conclusion

The answer up to two significant digits is 8.8 g/mL.

Answer 14

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Answer 15

Interpretation Introduction

(b)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Answer 16

Expert Solution

Answer to Problem 27E

The answer up to two significant digits is 3.0 g/mL.

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Expert Solution

Answer 20

Explanation of Solution

The given measurement is 12.5 g/4.1 mL. The measurement of 12.5 g has three significant digits and 4.1 mL has two significant digits. Therefore, the product or the final answer must be limited to two significant digits.

The division of the given measurement is shown below.

12.5 g/4.1 mL=3.048 g/mL

Hence, the rounded off answer up to two significant digits is 3.0 g/mL.

Answer 21

Conclusion

The answer up to two significant digits is 3.0 g/mL.

Answer 22

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Answer 23

Interpretation Introduction

(c)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Answer 24

Expert Solution

Answer to Problem 27E

The answer up to three significant digits is 4.26 g/mL.

Answer 25

Expert Solution

Answer 26

Expert Solution

Answer 27

Expert Solution

Answer 28

Explanation of Solution

The given measurement is 42.620 g/10.0 mL. The measurement of 42.620 g has five significant digits and 10.0 mL has three significant digits. Therefore, the product or the final answer must be limited to three significant digits.

The division of the given measurement is shown below.

42.620 g/10.0 mL=4.262 g/mL

Hence, the rounded off answer up to three significant digits is 4.26 g/mL.

Answer 29

Conclusion

The answer up to three significant digits is 4.26 g/mL.

Answer 30

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.

Conclusion

The answer up to four significant digits is 9.124 g/mL.

Answer 31

Interpretation Introduction

(d)

Interpretation:

The given measurement is to be divided and the answer is rounded off to the proper significant digit.

Concept introduction:

In the multiplication or division of measurements, the answer is found to be limited by the measurement value with the lowest number of significant digits. The final unit in division is the ratio of the units of each data.

Answer 32

Expert Solution

Answer to Problem 27E

The answer up to four significant digits is 9.124 g/mL.

Answer 33

Expert Solution

Answer 34

Expert Solution

Answer 35

Expert Solution

Answer 36

Explanation of Solution

The given measurement is 91.235 g/10.00 mL. The measurement of 91.235 g has five significant digits and 10.00 mL has four significant digits. Therefore, the product or the final answer must be limited to four significant digits.

The division of the given measurement is shown below.

91.235 g/10.00 mL=9.1235 g/mL

Hence, the rounded off answer up to four significant digits is 9.124 g/mL.