Q 11-10-022NEETJEE MainEAMCET 2013 (Engineering)Easy
A glass flask of volume one litre is filled completely with mercury at $0°$C. The flask is now heated to $100°$C. The coefficient of volume expansion of mercury is $1.82 \times 10^{-4}\ °\text{C}^{-1}$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4}\ °\text{C}^{-1}$. The amount of mercury which overflows is
Answer: (B) $15.2$ cc
Overflow = (real expansion of mercury) $-$ (expansion of flask):
$$\Delta V = V(\gamma_{Hg} - 3\alpha_g)\Delta T = 1000(1.82 - 0.3) \times 10^{-4} \times 100 = 15.2\ \text{cc}$$
Solution by Sreeraj P, M.Sc Physics