A $m=50\mathrm{.}0kg$ solid block made of plastic with a coefficient of linear expansion $a=250{10}^{-6}{K}^{-1}$ and density ${}_{20}C=1400k\frac{g}{m^3}$ is placed in a water bath at $1\mathrm{.}0C.$ What is the block apparent weight as it is completely submerged in water? Consider density of water at $1C=1000k\frac{g}{m^3}$ and $g=9\mathrm{.}80\frac{m}{s^2}.$

Select one:

a$.452\mathrm{.}7$ N

b$.453\mathrm{.}0$ N

c$.454\mathrm{.}3$ N

d$.455\mathrm{.}6$ N