GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

A steel part with surface area of $125{\mathit{c}\mathit{m}}^2$ is to be chrome coated through an electroplating process using chromium acid sulphate as an electrolyte. An increasing current is applied to the part according to the following current time relation:
$\mathit{I}=12+0.2\mathit{t}$
where $\mathit{I}=$ current $\mathit{A}$. and $\mathit{t}=$ time (minutes). The part is submerged in the plating solution for duration of 20 minutes for plating purpose. Assuming the cathode efficiency of chromium to be $15\%$ and the plating constant of chromium acid sulphate to be $2.50\times {10}^{-2}\mathit{m}\mathit{m}/\mathit{A}-\mathit{s}$, the resulting coating thickness on the part surface is ________ µm (round off to one decimal place).