Exercise # 1 - coercingmolecules

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