A glass flask of volume one litre is filled completely with mercury at `0^@` C. The flask is now heated to `100^@` C. Coefficient of volume expansion of mercury is `1.82xx10^-4 c` and coefficient of linear expansion of glass is `0.1xx10^-4c` . During this process, amount of mercury which overflows is

Options

A. 21.2CC
B. 15.2CC
C. 2.12CC
D. 18.2CC

Answer

B

Explanation

Relative Expression of mercury,
`DeltaV=V_(o)[gamma_(1)-gamma_(0)]Delta theta=V[gamma_(m)-3propto_(g)]Delta theta`
`therefore Delta V=10000[182xx10^(-6) -3xx10xx10^(-6)]xx100`
`=15.2CC`.