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Question

A glass flask of volume one litre at 0oC is filled level full of mercury at this temperature. The flask and mercury are now heated to 100oC. How much mercury will spill out, if coefficient of volume expansion of mercury is 1.2×104/oC and linear expansion of glass is 0.1×104/oC, respectively?

A
2.48×102L
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B
1.52×102L
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C
1.53×104L
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D
1.52×104L
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Solution

The correct option is A 1.52×102L
Expansion of mercury
ΔVm=VmγmΔθ
=1×1.82×104(100o0o)
=1.82×102L
Expansion of flask,
ΔVo=VγoΔθ=V3αgΔθ
=1×3×0.1×104(100o0o)
=0.3×102L
Volume of mercury that over flows
=ΔVmΔVg
=(1820.3)×102
=1.52×102L.

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