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

$(a)\;13.11\;g/C.C\qquad(b)\;13.65\;g/C.C\qquad(c)\;13.51\;g/C.C\qquad(d)\;13.22\;g/C.C$

Answer : $\;13.11\;g/C.C$
Explanation :
$\rho = \large\frac{\rho_{0}}{(1+r_{0}t)}$
$=\large\frac{13.6}{1+0.18\times (200^{0}C)}$
$=\large\frac{13.6}{1.036}=13.11$