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A glass flask of volume 1000 cm3 is completely filled with mercury at 0°C. The coefficient of cubical expansion of mercury is 182 x 10-6/°C and that of glass is 30 x 10-6/°C. If the flask is now placed in boiling water at 100°C, how much mercury will overflow ?

a
30 cm3
b
18.2 cm3
c
15.2 cm3
d
3 cm3

detailed solution

Correct option is C

Volume of mercury overflowed = change in volume of mercury - change in volume of flask=10001+182×10−6×100−10001+30×10−6×100=1031+182×10−4−1−30×10−4=103152×10−4=15⋅2cm3

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