General Chemistry, 10th Edition Solution Manual

General Chemistry, 10th Edition Solution Manual provides expertly crafted summaries and insights to boost retention.

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CHAPTER 1
Chemistry and Measurement
SOLUTIONS TO EXERCISES
Note on significant figures: If the final answer to a solution needs to be rounded off, it is given first with
one nonsignificant figure, and the last significant figure is underlined. The final answer is then rounded to
the correct number of significant figures. In multistep problems, intermediate answers are given with at
least one nonsignificant figure; however, only the final answer has been rounded off.
1.1. From the law of conservation of mass,
Mass of wood + mass of air = mass of ash + mass of gases
Substituting, you obtain
1.85 grams + 9.45 grams = 0.28 grams + mass of gases
or,
Mass of gases = (1.85 + 9.45 0.28) grams = 11.02 grams
Thus, the mass of gases in the vessel at the end of the experiment is 11.02 grams.
1.2. Physical properties: soft, silvery-colored metal; melts at 64°C.
Chemical properties: reacts vigorously with water, with oxygen, and with chlorine.
1.3. a. The factor 9.1 has the fewest significant figures, so the answer should be reported to two
significant figures.
5.61 7.891
9.1
= 4.86 = 4.9
b. The number with the least number of decimal places is 8.91. Therefore, round the answer to
two decimal places.
8.91 6.435 = 2.475 = 2.48
c. The number with the least number of decimal places is 6.81. Therefore, round the answer to
two decimal places.
6.81 6.730 = 0.080 = 0.08
d. You first do the subtraction within parentheses. In this step, the number with the least
number of decimal places is 6.81, so the result of the subtraction has two decimal places.
The least significant figure for this step is underlined.
38.91 (6.81 6.730) = 38.91 0.080
Next, perform the multiplication. In this step, the factor 0.080 has the fewest significant
figures, so round the answer to one significant figure.
38.91 0.080 = 3.11 = 3

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