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Question

A glass flask is filled up to a mark with 50 cc of mercury at 18o C. If the flask and contents are heated to 38o C, how much mercury will be above the mark? ( for glass is 9×106/o C and coefficient of real expansion of mercury is 180×106/o C)


A

0.85 cc

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B

0.46 cc

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C

0.153 cc

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D

0.05 cc

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Solution

The correct option is C

0.153 cc


Due to volume expansion of both mercury and flask, the change in volume of mercury relative to flask is given by
V=V0[γlγg]θ=V[γm3αg]θ
=50[180×1063×9×106](3818)=0.153 cc


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