Air is forced through holes that are bored through a 0.5-m-thick block of solid (of molecular weight \(95 \mathrm{~kg} / \mathrm{kmol}\) ) that sublimates into the flowing air. Consider air at \(320 \mathrm{~K}\) and a pressure of \(2 \mathrm{~atm}\) flowing through a 10 -mm-diameter hole at a flow rate of \(3 \times 10^{-4} \mathrm{~kg} / \mathrm{s}\). The vapor pressure of the sublimating material at the solidvapor interface is \(10 \mathrm{~mm} \mathrm{Hg}\). The diffusion coefficient of the vapor in air at \(1 \mathrm{~atm}\) and \(320 \mathrm{~K}\) is \(2.5 \times 10^{-5} \mathrm{~m}^{2} / \mathrm{s}\). Assuming there is only a trace concentration of sublimated vapor in the air at any axial location, determine the local mass fluxes from the solid at \(x=0.1,0.25\), and \(0.5 \mathrm{~m}\). Based on the calculated fluxes, estimate the hole diameters at the preceding \(x\)-locations after 30 minutes of operation. The density of the solid material is \(1500 \mathrm{~kg} / \mathrm{m}^{3}\).