Question

A glass flask of volume one litre at `0^(@)C` is filled level full of mercury at this temperature. The flask and mercury are now heating to `100^(@)C` . How much mercury will spill out if coefficient of volume expansion of mercury is `1.2xx10^(-4)//^(@)C` and linear expansion of glass is `1.0xx10^(-4)//^(@)C` respectively ?

Answer 1

Expansion of mercury
`DeltaV_(m)=V_(m)gamma_(m)Deltatheta=1xx1.82xx10^(-4)(100-0)`
`=1.82xx10^(-2)` litre
Expansion of flask
`DeltaV_(g)=Vgamma_(g)Deltatheta=V.3alpha_(g)Deltatheta=1xx3xx0.1xx10^(-4)(100-0)`
`=0.3xx10^(-2)` litre
Volume of mercury that overflows
`=DeltaV_(m)-DeltaV_(g)=(1.82-0.3)xx10^(-2)`
`=1.52xx10^(-2)`