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A glass flask of volume one litre at 00C is filled, level full of mercury at this temperature. The flask and mercury are now heated to l00°C. How much mercury will spill out, if coefficient of volume expansion of mercury is 1 .82 x 10-4/0C and linear expansion of glass is 0.1 x10-4/ 0C respectively?

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a

21.2 cc

b

15.2 cc

c

1.52 cc

d

2.12 cc

answer is B.

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Detailed Solution

Due to volume expansion of both liquid and vessel, the change in volume of liquid relative to container is given by∆V = V0[γL-γg]∆θGiven V0= 1000 cc, αg = 0.1×10-4/0C∴ γg = 3αg = 3×0.1×10-4/0C = 0.3×10-4/0C∆V = 1000[1.82×10-4-0.3×10-4]×100 = 15.2 cc

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A glass flask of volume one litre at 00C is filled, level full of mercury at this temperature. The flask and mercury are now heated to l00°C. How much mercury will spill out, if coefficient of volume expansion of mercury is 1 .82 x 10-4/0C and linear expansion of glass is 0.1 x10-4/ 0C respectively?