A cylindrical aluminium can holds 500 cm³ of water; the inner cross-sectional area is 125 cm². All values are at 10°C. If the temperature rises to 80°C, find the approximate rise in the water level. Linear expansion coefficient of aluminium = 23e-6 /°C; volume expansion coefficient of water = 3.2e-4 /°C.

0.076 cm
0.065 cm
0.089 cm
0.099 cm

Correct answer: 0.099 cm

Solution

Net excess expansion of water over the can raises the level; with gamma_water - 3 alpha_Al = 2.51e-4 /°C over 70°C, the rise is about 0.099 cm.

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