24. To determine the volume of a cube, a student measured one of the dimensions of the cube several times. If the true dimension of the cube is 10.62 cm, give an example of four sets of mea- surements that would illustrate the following. a. imprecise and inaccurate data b. precise bul inaccurate data . precise and accurate data Give a possible explanation as to why data can be impre- cise or inaccurate. What is wrong with saying a set of mea- surements is imprecise but accurate? 26. A cold front moves through and the temperature drops by 20 degrees. In which temperature scale would this 20 degree change represent the largest change in temperature? \fJ6. Use exponential notation to express the number 385,500 to a. one significant figure. b. two significant figures. . three significant figures. d. five significant figures. 38. The beakers shown below have different precisions. a. Label the amount of walter in each of the three beakers to the correct number of significant figures. b. Is it possible for each of the three beakers to contain the exact same amount of water? If no, why not? If yes, did you report the volumes as the same in part a? Explain. . Suppose you pour the water from these three beakers into one container. What should be the volume in the container reported to the correct number of significant figures? 42. Perform the following mathematical operations, and express the result to the correct number of significant figures. a. 6.022 X 10 X 1.05 X 10 6.6262 X 107* x 2.998 x 10 2.54 % 107 e. 1.285x 1072+ 1.24 X 1073 + 1.879 x 10~! (1.00866 1.00728) 6.02205 % 107 9.875 X 10 = 9.795 x 10 9.875 % 107 [ 942X 10 + 8.234 x 10 + 1.625 x 10 3 d. > 100 (100 is exact) (3 is exact) -46. Perform the following unit conversions. a. 908 oz to kilograms b. 12.8 L to gallons c. 125 mL to quarts d. 2.89 gal to milliliters e. 4.48 1b to grams f. 550 mL to quarts54. The world record for the hundred meter dash is 9.58 s. What is the corresponding average speed in units of m/s, km/h, ft/s, and mi/h? At this speed, how long would it take to run 1.00 X 10? yards? 56. You pass a road sign saying \"New York 112 km.\" If you drive at a constant speed of 65 mi/h, how long should it take you to reach New York? If your car gets 28 miles to the gallon, how many liters of gasoline are necessary to travel 112 km? . In recent years, there has been a large push for an increase in the use of renewable resources to produce the energy we need to power our vehicles. One of the newer fuels that has become more widely available is E85, a mixture of 85% ethanol and 15% gasoline. Despite being more environmentally friendly, one of the potential drawbacks of E85 fuel is that it produces less energy than conventional gasoline. Assume a car gets 28.0 mi/gal using gasoline at $3.50/gal and 22.5 mi/gal using E85 at $2.85/gal. How much will it cost to drive 500. miles using each fuel? 60. Carbon monoxide (CO) detectors sound an alarm when peak levels of carbon monoxide reach 100 parts per million (ppm). This level roughly corresponds to a composition of air that contains 400,000 pg carbon monoxide per cubic meter of air (400,000 pwg/m'). Assuming the dimensions of a room are 18 ft X 12 ft X 8 ft, estimate the mass of carbon monoxide in the room that would register 100 ppm on a carbon monoxide detector. 62. A thermometer gives a reading of 96.1F = 0.2F. What is the temperature in \"C? What is the uncertainty