A power plant is burning anthracite coal containing $7\mathrm{.}1\%$ ash to provide the necessary energy for steam generation. If $300$m$3$ of total flue gas are produced for every kilogram of coal burned, what is the maximum effluent particulate loading in gr$/$m$3?$ Assume no contribution to the particulates from the waste. The secondary ambient air quality standard for particulates is $75$ ug$/$m$3.$ What dilution factor and particulate collection efficiency are required to achieve this standard