A stainless plate $($area $4$cm x $8$cm$,$ thickness $3$mm$)$ is used as part of a bone fracture fixation device. You can assume the stainless steel corrodes in the same way as pure iron, and that the density of Fe is $7\mathrm{.}87$ g$/$cm$3.$ The corrosion current density of stainless steel is $0\mathrm{.}5$ mA$/$cm$2.$ The molar mass of Fe is $55\mathrm{.}85$ g$/$mol$.$ What will be the total weight loss of the implant due to corrosion after $180$ days?

Group of answer choices

$271$grams

$218$grams

$306$grams

$144$grams