Question

# A glass flask of volume 1 litre is fully filled with mercury at 0∘C. Both the flask and mercury are now heated to 100∘C. If the coefficient of volume expansion of mercury is 1.82×10−4/∘C, coefficient of linear expansion of glass is 1.0×10−5/∘C, the amount of mercury which is expelled is

A
15.2 ml
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B
17.2 ml
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C
19.2 ml
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D
21.2 ml
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Solution

## The correct option is A 15.2 mlAmount spilled out = Difference in volumes increasedVolume of mercury increased =VγΔT⇒1000×1.82×10−4×100Increase in volume =18.2mlCubical Expansion coefficient =3× linear coefficientIncrease in capacity of glass =1000×3×10×10−6×100Increase =3mlMercury spilled out =18.2−3=15.2ml

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