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Question

A glass flask is filled up to a mark with 50 cc of mercury at 18C . If the flask and contents are heated to 38C , how much mercury will be above the mark ? (coefficient of linear expansion for glass is 9 × 106/C and coefficient of real expansion of mercury is 180 × 106/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)=00.153cc


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