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Q.

A glass flask of volume one litre at 0°C is filled, level full of mercury at this temperature. The flask and mercury are now heated to 100°C. How much mercury will spill out, if coefficient of volume expansion of mercury is 1.82 × 10-4/C and linear expansion of glass is 0.1 × 10-4/C respectively?
 

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a

15.2cc

b

21.2 cc

c

2.12cc

d

1.52cc

answer is C.

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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

ΔV=VγL-γSΔθ

Given,V=1000cc,αg=0.1×10-4/C  

γg=3αg=3×0.1×10-4/C  =0.3×10-4/C  

ΔV=10001.82×10-4-0.3×10-4×100=15.2cc

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