Textbook Question
Chapter 2, Problem 2.81UTC

In which of the fo1losing pairs do both numbers contain the same number of significant figures? (2.2)

a. 2.0500 m and 0.0205 m
b. 600.0 K and 60 K
c. 0.000 75 s and 75 000 s
d. 6.240 L and 6 .24 0 ×1 0 2 L

Expert Solution & Answer
Check Mark
Interpretation Introduction

To determine:

The pairs of numbers that contain the same number of significant figures

Answer to Problem 2.81UTC

c) 0.000 75 s and 75 000 s

d) 6.240 L and 6.240 × 10-2 L

Explanation of Solution

A number is significant if it is:

  • Non-zero digit.
  • Any zeros between two or more non-zero digits.
  • Trailing zeroes in the decimal number.

Also, note that zero placed after a non-zero digit without any decimal is simply a place holder and insignificant. Therefore, as per the above rules one can write:

a)

    NumberSignificant Figures
    2.0500 m5
    0.0205 m3

b)

    NumberSignificant Figures
    600.0 K4
    60 K1

c)

    NumberSignificant Figures
    0.000 75 s2
    75 000 s2

d)

    NumberSignificant Figures
    6.240 L4
    6.240 × 10-2 L4
Conclusion

The pairs of numbers in (c) and (d) have the same significant figures.

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Chapter 2 Solutions

MasteringChemistry with Pearson eText -- ValuePack Access Card -- for Chemistry: An Introduction to General, Organic, and Biological Chemistry

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