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Question

A glass flask of volume one litre at 0o C is filled, level full of mercury at this temperature. The flask and mercury are now heated to 100o C. How much mercury will spill out, if coefficient of volume expansion of mercury is 1.82×104/o C and linear expansion of glass is 0.1×104/o C respectively


A

21.2 cc

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B

15.2 cc

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C

1.52 cc

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D

2.12 cc

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Solution

The correct option is B

15.2 cc


Due to volume expansion of both liquid and vessel, the change in volume of liquid relative to container is given by V=Vo[γzγg]θ
Given V0=1000 cc, αg=0.1×104/o C
γg=3αg=3×0.1×104/o C=0.3×104/o C
V=1000[1.82×1040.3×104]×100=15.2 cc


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