1: Homework Solutions

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These are solutions to select problems from 1: Measurement of Matter & Energy.

Answers

1. carbon atom < oxygen molecule < grain of table salt < peanut < baseball

2. nano (10^-9) < micro (10^-6) < centi (10^-2) < kilo (10³) < Mega (10⁶) Note: This answer uses the mathematical definition of the metric prefixes.

1000 mm
0.01 kg
1 L
100,000 µm
1 Gm

4. 1.7 mL sand

10,000
0.0001
4.2 x 10³
3.89 x 10^-6
6 x 10⁶

100 mL
1 ng
20 mm
100 km
1000 pm

1 x 10¹⁷ (1 sig fig)
6.02 x 10⁷(3 sig figs)
3.001 x 10¹ (4 sig figs)
4.970 x 10^-9 (4 sig figs)
6.01 x 10^-4 (3 sig figs)

8. a) 6020 b) 0.000 000 314 c) 44,400 d) 2,870,000,000,000 e) 0.0987

9. a) F b) F C) T d) T e) T

10. a) 3 sig figs b) 2 sig figs c) 4 sig figs d) 4 sig figs e) 2 sig figs

11. a) 16.33 b) 20. c) 3.86 d) 1.41 e) 5.34

12. a) exact b) inexact with 2 sig figs c) exact d) exact e) inexact with 3 sig figs

13.

1 x 10⁶ mg with 1 sig fig
6.981 x 10^-4 cm with 4 sig figs
1.5 x 10⁶ µL with 2 sig figs
5 x 10⁷ mm with 1 sig fig
1.5 x 10^-5 cg with 2 sig figs

14.

6.24 x 10⁵ mg (3 sig figs)
0.27 g/mL (2 sig figs)
300.02 L (5 sig figs)
7.84 x 10³ mg (3 sig figs)
2.4 mm (2 sig figs)

15. 4 x 10^-10 g folic acid; 7.5 x 10^-5 g boron; 2 x 10^-3 g silicon

16. 6.31 x 10⁸ seconds

17. a) 6.7 kg b) 0.2 mi c) 29 m/sec

18. 104 cups

19. 2300 mg/dose

20. 230 mg; yes, exceeds the limit

21. 14 g Fe

22. 21 g alcohol

23. 0.253 kg

24. 15 cm³ < 2.0 x 10⁵ µL < 1 L < 62 dL

25. 282 g urine

26. 0.0261 L tooth enamel

27. 0.65 g aspirin /day

28. 30 fl oz milk per day

29. a) 4 sig figs b) people c) 2.814 x 10⁸ people

30. a) 3 sig figs b) pounds of sugar c) 3.48 x 10¹⁰ lb sugar

31. a) 10⁶ mm = 1 km b) 1 kg = 10⁹ µg c) 1 cm = 10⁴ µm

32. a) 1 km = 10⁹ µm b) 1 dL = 10² mL c) 1 Mg = 10⁹ mg

33. 1.15 g/mL

34. 2.32 g/mL

35. 187 in

36. 3.77 L

37. 77 kg

38. 1.5 x 10⁸ km