Question

The coefficient of real expansion of mercury is $0.18 \times 10^{-3} C^{-1}$ If the density of mercury at $0^{\circ}\,C$ is $13.6\, g/cc$, its density at $473 \,K$ will be

• A. 13.12 g/cc
• B. 13.65 g/cc
• C. 13.51 g/cc
• D. 13.22 g/cc

Answer 1

Answer: (A)

$Here, t_1=0^{\circ}C =273 K, t_2 =473 K$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, \gamma_r =0.18 \times 10^{-3} C^{-1}$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, d_1 =13.6 g/cc$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, d=\frac{d_1}{1+\gamma_r (\Delta t)}$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, =\frac{13.6}{1+0.18 \times 10^{-3} \times (473 -273)}$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, d_2 =\frac{13.6}{1.036}$
$ \, \, \, \, \, \, \, \, \, \, \, \, \, 13.127 g/cc$