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1 Matter and Measurement Solutions to Exercises 1.45 (a) 15.2 S m X 1000 1km m X 60 1hr min = 54.7 km/hr (b) 5.0 10³ L 1gal = 1.3x10³gal (c) 151 ft X 1 3ft yd X 1.0936 1m yd = 46.025 = 46.0 m (d) 60.0 d cm 1in 24 1d hr = 0.984 in/hr 2.54 cm 1.46 (a) 2.998 S 10⁸ m X 1000 1 km m X 1.6093 1 mi km X 1 min 60 S X 60 1hr min = 6.707 X 10⁸ mi/hr (b) 1454 ft 1yd 3ft X 1.0936 1m yd = 443.18 = 443.2 m (c) 3,666,500 3 X (1x10⁻¹)³ 1³ dm³ m³ X 1L = 3.6665 X L (d) 242 mg cholesterol X 1 1 10⁻³ mL L X 5.2 Lx 1 10⁻³ = 12.58 = 13 cholesterol 100 mL blood 1 mg 1.47 (a) 5.00 days X 1 24 day hr X 60 1hr min 60 = 4.32 10⁵ S (b) 0.0550 mi 1.6093 mi km 1000 m = 88.5 m 1km (c) $1.89 gal 3.7854 L = $0.499 L (d) 0.510 ms in 2.54 1in cm 1x 1cm 10⁻² m X 1000 1 km m 1x 1ms 10⁻³ min 60 S 60 1hr min = 46.6 km hr Estimate: 0.5 2.5 = 1.25; 1.25 0.01 ≈ 0.01; 0.01 X 60 X 60 ≈ 36 km/hr (e) 22.50 min gal gal 1 60 min = 1.41953 = 1.420 L/s Estimate: 20 X 4 = 80; 80/60 ≈ 1.3 L/s (f) 0.02500 X 12³ X 2.54³ cm³ = Estimate: 10³ = 1000; = 27; 1000 27 = 27,000; 27,000/0.04 ≈ 700 cm³ 1.48 (a) 0.105 in 2.54 in cm 10⁻² cm m X 1 1 10⁻³ mm m = 2.667 = 2.67 mm (b) 0.650 qt X 1.057 1L X 1 1mL -3 L = 614.94 = 615 mL (c) 8.75 S 1 1 10⁻⁶ µm m X 1 1 km 10³ m X 60 1hr min = 3.15 10⁻⁵ km/hr 9