Question

# A one-litre flask contains some mercury. It is found that at different temperatures the volume of air inside the flask remains the same. What is the volume of mercury in the flask? Given the coefficient of linear expansion of glass is 9×10−6 ∘C−1 and the coefficient of volume expansion of mercury is 1.8×10−4 ∘C−1

A

50 cm3

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B

100 cm3

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C

150 cm3

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D

200 cm3

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Solution

## The correct option is C 150 cm3 Let x be the volume of mercury in the flask. Since the volume of air in the flask remains constant, the volume expansion of the flask must be exactly equal to the expansion of mercury in the flask. ∴VγgΔt=xγmΔt⇒x=Vγgγm=V×3αgγm=1000×3×9×10−618×10−5=150 cm3 Hence, the correct choice is (c).

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