Exercise # 1 (1) The average density of Earth is 5.52 g/cm3 . (a) What is its density in kg/m3? (b) What is its density in lbs/ft3? (2) An empty vial weighs 55.32g. (a) If the vial weighs 185.56g when filled with liquid mercury, what is its volume? (density of mercury=13.53 g/cm3) (b) How much would the vial weigh if it were filled with water? (density of water = 0.997g/cm3) (3) Write the volume measurement for the following: _______ mL Conversion factors: 1 kg = 2.205 lbs 1 ft = 12 inches 1 inch = 2.54 cm (1) . (a) (b) (2) 3 5.52 g (100 cm) 1 kg 3 3 cm (1 m) 1000 g = 5.52 x 103 kg/m3 3 5.52 g (2.54 cm) 3 3 cm (1 in) 1 kg 2.205 lb 1000 g 1 kg (12 in) 3 (1 ft) 3 = 344.661 = 345 lb/ft3 (a) Mass of mercury = 185.56 g – 55.32 g = 130.24 g Volume of mercury = volume of vial 1 cm3 3 = (130.24 g) = 9.626016 = 9.626 cm 13.53 g (b) Mass of water = 0.997 g (9.626016 cm 3 ) 3 1 cm = 9.59714 g water Mass of vial filled with water = 55.32 g + 9.59714 g = 64.91714 = 64.92 g
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