A $0\mathrm{.}3$ mm thick nickel sheet is being cleaned of hydrogen in a vacuum at $600C.$ The initial concentration of hydrogen in nickel is $2{10}^{-5}\frac{g}{c}{m}^3.$ It is known that under vacuum at $600C,$ the average hydrogen concentration in nickel can be reduced to approximately $45\%$ of fis initial value in about $80$ seconds.

If this nickel sheet is cleaned in a vacuum at $600C$ for $100$ seconds, what should the hydragen concentration be at a depth of $0\mathrm{.}15$ mm from the surface, in the form of $k{10}^{-6}?($Perform the calculation to two decimal places.$)$