Question

You have 0.75 L of water in your water bottle. If 1 mL = 1 cm3,...

  1. You have 0.75 L of water in your water bottle.
    1. If 1 mL = 1 cm3, what is the volume, in m3, of the water?
    2. What is the mass, in kg, of the water?
    3. The density of ice is 934 kg/m3. If you froze the water, what would be the new volume of the ice?
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Answer #1

Density of water = 1 = 1000 kg/m3

Volume of water in the bottle = V1 = 0.75 L = 0.75 x (1000) mL = 750 mL

1 mL = 1 cm3

Converting the volume from mL to cm3

V1 = 750 x (1) cm3

V1 = 750 cm3

1 m = 100 cm

1 m3 = 106 cm3

Converting the volume from cm3 to m3,

V1 = 750 x (10-6) m3

V1 = 7.5 x 10-4 m3

Mass of the water = M

M = 1V1

M = (1000)(7.5x10-4)

M = 0.75 kg

Density of ice = 2 = 934 kg/m3

Volume of the ice = V2

The mass is going to remain the same,

M = 2V2

0.75 = (934)V2

V2 = 8.03 x 10-4 m3

a) Volume of the water = 7.5 x 10-4 m3

b) Mass of the water = 0.75 kg

c) Volume of the ice = 8.03 x 10-4 kg/m3

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