Question

Coefficient of real expansion of mercury is $0.18\times {10}^{-3}$/ ${}^0$C. If the density of mercury at $0^{0}C$ is 13.6 gm/cc its density at 473 K will be :

• A. 13.13 gm/c.c.
• B. 13.65gm/c.c.
• C. 13.51 gm/c.c.
• D. 13.22 gm/c.c.

Answer 1

Answer: (A)

13.13 gm/c.c.

$d_0=d_t(1+\gamma \Delta t)$
As given,
$\gamma =0.18\ast {10}^{-3}$
$d_0=13.6$
$\Delta t=t_2-t_0={473}^{0}K-0^{0}C={473}^{0}K-{273}^{0}K={200}^{0}K$
$\therefore d_t=\frac{d_0}{(1+\gamma \Delta t)}=\frac{13.6}{1+0.18\ast {10}^{-3}\ast 200}=13.127$