{"id":16721,"date":"2022-01-11T03:28:59","date_gmt":"2022-01-11T03:28:59","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/?post_type=chapter&p=16721"},"modified":"2022-01-11T03:31:10","modified_gmt":"2022-01-11T03:31:10","slug":"solutions-measurements","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ccbcmd-math-1\/chapter\/solutions-measurements\/","title":{"raw":"Solutions: Measurements","rendered":"Solutions: Measurements"},"content":{"raw":"

Solutions to Odd-Numbered Exercises<\/h2>\r\n1. about a yard\r\n\r\n3.\u00a0(a) kilograms; (b) meters; (c) kilometers\/second; (d) kilograms\/cubic meter; (e) kelvin; (f) square meters; (g) cubic meters\r\n\r\n5. (a) centi-, \u00d7 10\u22122<\/sup>; (b) deci-, \u00d7 10\u22121<\/sup>; (c) Giga-, \u00d7 109<\/sup>; (d) kilo-, \u00d7 103<\/sup>; (e) milli-, \u00d7 10\u22123<\/sup>; (f) nano-, \u00d7 10\u22129<\/sup>; (g) pico-, \u00d7 10\u221212<\/sup>; (h) tera-, \u00d7 1012<\/sup>\r\n\r\n7.\u00a0(a) 8.00 kg, 5.00 L, 1.60 kg\/L; (b) 2.00 kg, 5.00 L, 0.400 kg\/L; (c) red < green < blue < yellow; (d) If the volumes are the same, then the density is directly proportional to the mass.\r\n\r\n9.\u00a0(a) (b) Answer is one of the following. A\/yellow: mass = 65.14 kg, volume = 3.38 L, density = 19.3 kg\/L, likely identity = gold. B\/blue: mass = 0.64 kg, volume = 1.00 L, density = 0.64 kg\/L, likely identity = apple. C\/green: mass = 4.08 kg, volume = 5.83 L, density = 0.700 kg\/L, likely identity = gasoline. D\/red: mass = 3.10 kg, volume = 3.38 L, density = 0.920 kg\/L, likely identity = ice; and E\/purple: mass = 3.53 kg, volume = 1.00 L, density = 3.53 kg\/L, likely identity = diamond. (c) B\/blue\/apple (0.64 kg\/L) < C\/green\/gasoline (0.700 kg\/L) < C\/green\/ice (0.920 kg\/L) < D\/red\/diamond (3.53 kg\/L) < A\/yellow\/gold (19.3 kg\/L)\r\n\r\n11.\u00a0(a) 7.04 \u00d7 102<\/sup>; (b) 3.344 \u00d7 10\u22122<\/sup>; (c) 5.479 \u00d7 102<\/sup>; (d) 2.2086 \u00d7 104<\/sup>; (e) 1.00000 \u00d7 103<\/sup>; (f) 6.51 \u00d7 10\u22128<\/sup>; (g) 7.157 \u00d7 10\u22123<\/sup>\r\n\r\n13. (a) 2.15 \u00d7 105; (b) 4.2 \u00d7 106; (c) 2.08; (d) 0.19; (e) 27,440; (f) 43.0\r\n\r\n15.\u00a0(a) exact; (b) exact; (c) uncertain; (d) exact; (e) uncertain; (f) uncertain\r\n\r\n17.\u00a0(a) 0.44; (b) 9.0; (c) 27; (d) 140; (e) 1.5 \u00d7 10\u22123<\/sup>; (f) 0.44\r\n\r\n19.\u00a0[latex]\\begin{array}{c}\\frac{\\text{2.0 L}}{\\text{67.6 fl oz}}=\\frac{\\text{0.030 L}}{\\text{1 fl oz}}\\end{array}[\/latex]\r\n\r\n21. 355 mL\r\n\r\n23. 5.0 \u00d7 10\u22123<\/sup> mL\r\n\r\n25. 45.4 L\r\n\r\n27. (a) 5.1 mL; (b) 37 L\r\n\r\n29. yes; weight = 89.4 kg\r\n\r\n31. 1.0160 \u00d7 103<\/sup> kg\r\n\r\n33. (a) 81.6 g; (b) 17.6 g\r\n\r\n35.\u00a08 \u00d7 10\u22124<\/sup> cm\r\n\r\n37. 0.46 m; 1.5 ft\/cubit\r\n\r\n39. (a) [latex]\\frac{\\text{1.0936 yd}}{\\text{1 m}}[\/latex] ; (b) [latex]\\frac{\\text{0.94635 L}}{\\text{1 qt}}[\/latex] ; (c) [latex]\\frac{\\text{2.2046 lb}}{\\text{1 kg}}[\/latex]\r\n\r\n41. 68\u201371 cm; 400\u2013450 g\r\n\r\n43. (a) 1.3 \u00d7 10\u22124<\/sup> kg; (b) 2.32 \u00d7 108<\/sup> kg; (c) 5.23 \u00d7 10\u221212<\/sup> m; (d) 8.63 \u00d7 10\u22125<\/sup> kg; (e) 3.76 \u00d7 10\u22121<\/sup> m; (f) 5.4 \u00d7 10\u22125<\/sup> m; (g) 1 \u00d7 1012<\/sup> s; (h) 2.7 \u00d7 10\u221211<\/sup> s; (i) 1.5 \u00d7 10\u22124<\/sup> K\r\n\r\n45. (a) 394 ft (b) 5.9634 km (c) 6.0 \u00d7 102 <\/sup>(d) 2.64 L (e) 5.1 \u00d7 1018<\/sup> kg (f) 14.5 kg (g) 324 mg\r\n\r\n47. Yes, the acid's volume is 123 mL.\r\n\r\n49. 62.6 in (about 5 ft 3 in.) and 101 lb\r\n\r\n51. (a) 3.81 cm \u00d7 8.89 cm \u00d7 2.44 m; (b) 40.6 cm\r\n\r\n53. 2.70 g\/cm3<\/sup>\r\n\r\n55. \u221223 \u00b0C, 250 K\r\n\r\n57. \u221233.4 \u00b0C, 239.8 K\r\n\r\n59. 113 \u00b0F\r\n\r\n \r\n\r\n ","rendered":"

Solutions to Odd-Numbered Exercises<\/h2>\n

1. about a yard<\/p>\n

3.\u00a0(a) kilograms; (b) meters; (c) kilometers\/second; (d) kilograms\/cubic meter; (e) kelvin; (f) square meters; (g) cubic meters<\/p>\n

5. (a) centi-, \u00d7 10\u22122<\/sup>; (b) deci-, \u00d7 10\u22121<\/sup>; (c) Giga-, \u00d7 109<\/sup>; (d) kilo-, \u00d7 103<\/sup>; (e) milli-, \u00d7 10\u22123<\/sup>; (f) nano-, \u00d7 10\u22129<\/sup>; (g) pico-, \u00d7 10\u221212<\/sup>; (h) tera-, \u00d7 1012<\/sup><\/p>\n

7.\u00a0(a) 8.00 kg, 5.00 L, 1.60 kg\/L; (b) 2.00 kg, 5.00 L, 0.400 kg\/L; (c) red < green < blue < yellow; (d) If the volumes are the same, then the density is directly proportional to the mass.<\/p>\n

9.\u00a0(a) (b) Answer is one of the following. A\/yellow: mass = 65.14 kg, volume = 3.38 L, density = 19.3 kg\/L, likely identity = gold. B\/blue: mass = 0.64 kg, volume = 1.00 L, density = 0.64 kg\/L, likely identity = apple. C\/green: mass = 4.08 kg, volume = 5.83 L, density = 0.700 kg\/L, likely identity = gasoline. D\/red: mass = 3.10 kg, volume = 3.38 L, density = 0.920 kg\/L, likely identity = ice; and E\/purple: mass = 3.53 kg, volume = 1.00 L, density = 3.53 kg\/L, likely identity = diamond. (c) B\/blue\/apple (0.64 kg\/L) < C\/green\/gasoline (0.700 kg\/L) < C\/green\/ice (0.920 kg\/L) < D\/red\/diamond (3.53 kg\/L) < A\/yellow\/gold (19.3 kg\/L)<\/p>\n

11.\u00a0(a) 7.04 \u00d7 102<\/sup>; (b) 3.344 \u00d7 10\u22122<\/sup>; (c) 5.479 \u00d7 102<\/sup>; (d) 2.2086 \u00d7 104<\/sup>; (e) 1.00000 \u00d7 103<\/sup>; (f) 6.51 \u00d7 10\u22128<\/sup>; (g) 7.157 \u00d7 10\u22123<\/sup><\/p>\n

13. (a) 2.15 \u00d7 105; (b) 4.2 \u00d7 106; (c) 2.08; (d) 0.19; (e) 27,440; (f) 43.0<\/p>\n

15.\u00a0(a) exact; (b) exact; (c) uncertain; (d) exact; (e) uncertain; (f) uncertain<\/p>\n

17.\u00a0(a) 0.44; (b) 9.0; (c) 27; (d) 140; (e) 1.5 \u00d7 10\u22123<\/sup>; (f) 0.44<\/p>\n

19.\u00a0[latex]\\begin{array}{c}\\frac{\\text{2.0 L}}{\\text{67.6 fl oz}}=\\frac{\\text{0.030 L}}{\\text{1 fl oz}}\\end{array}[\/latex]<\/p>\n

21. 355 mL<\/p>\n

23. 5.0 \u00d7 10\u22123<\/sup> mL<\/p>\n

25. 45.4 L<\/p>\n

27. (a) 5.1 mL; (b) 37 L<\/p>\n

29. yes; weight = 89.4 kg<\/p>\n

31. 1.0160 \u00d7 103<\/sup> kg<\/p>\n

33. (a) 81.6 g; (b) 17.6 g<\/p>\n

35.\u00a08 \u00d7 10\u22124<\/sup> cm<\/p>\n

37. 0.46 m; 1.5 ft\/cubit<\/p>\n

39. (a) [latex]\\frac{\\text{1.0936 yd}}{\\text{1 m}}[\/latex] ; (b) [latex]\\frac{\\text{0.94635 L}}{\\text{1 qt}}[\/latex] ; (c) [latex]\\frac{\\text{2.2046 lb}}{\\text{1 kg}}[\/latex]<\/p>\n

41. 68\u201371 cm; 400\u2013450 g<\/p>\n

43. (a) 1.3 \u00d7 10\u22124<\/sup> kg; (b) 2.32 \u00d7 108<\/sup> kg; (c) 5.23 \u00d7 10\u221212<\/sup> m; (d) 8.63 \u00d7 10\u22125<\/sup> kg; (e) 3.76 \u00d7 10\u22121<\/sup> m; (f) 5.4 \u00d7 10\u22125<\/sup> m; (g) 1 \u00d7 1012<\/sup> s; (h) 2.7 \u00d7 10\u221211<\/sup> s; (i) 1.5 \u00d7 10\u22124<\/sup> K<\/p>\n

45. (a) 394 ft (b) 5.9634 km (c) 6.0 \u00d7 102 <\/sup>(d) 2.64 L (e) 5.1 \u00d7 1018<\/sup> kg (f) 14.5 kg (g) 324 mg<\/p>\n

47. Yes, the acid’s volume is 123 mL.<\/p>\n

49. 62.6 in (about 5 ft 3 in.) and 101 lb<\/p>\n

51. (a) 3.81 cm \u00d7 8.89 cm \u00d7 2.44 m; (b) 40.6 cm<\/p>\n

53. 2.70 g\/cm3<\/sup><\/p>\n

55. \u221223 \u00b0C, 250 K<\/p>\n

57. \u221233.4 \u00b0C, 239.8 K<\/p>\n

59. 113 \u00b0F<\/p>\n

 <\/p>\n

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