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A steel part with surface area of $125\:cm^{2}$ 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: $$I=12+0.2t$$ where, $\text{I = current (A) and t = time (minutes).}$ The part is submerged in the plating solution for a 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 $2.50\times 10^{-2}\:mm^{3}/A\cdot s$ ,the resulting coating thickness on the part surface is _________ $\mu m$ (round off to one decimal place).
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