Methylene chloride is a common ingredient of paint removers which can also be absorbed through the skin. To this end, protective gloves should be worn as using this paint remover.
Butyl rubber gloves, with a diffusion coefficient of D equal to $110 \times 10^{-12} m^2/s$, act as a protective solution if worn during paint removal.
In case butyl rubber gloves of 1 mm thickness are employed to remove the uniform surface paint concentration of 0.44 g/cm³, how long can these gloves act as a protective layer against the diffusion of methylene chloride into the skin which can accommodate only a maximum of 0.02 g/cm³ concentration?
The error function, erf(z), values can be extracted approximately from the z vs erf(z) plot below.