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 1.82 10⁻⁴ / ^ C and coefficient of linear expansion of glass is 0.1 10⁻⁴ / ^ C . During this process, amount of mercury which overflows is

Step-by-step solution

Due to volume expansion of both mercury and flask, the change in volume of mercury relative to flask is given by aligned V & =V₀ [ _L- _g ] & =V [ _m-3 _g ] aligned Given, _m=182 10⁻⁶ / ^ C , _g=10 10⁻⁶ / ^ C array ll =100^ C , V=1 ~L & V=1 [ (182 10⁻⁶-3 10 10⁻⁶ ) ] 100 & V=15.2 CC array