Calculate the steady$-$state substrate and biomass concentrations in a continuous fermenter that has an operating volume of $25L$ when the sterile feed stream contains limiting substrate at $2000m\frac{g}{L}$ and enters the vessel at $8\frac{L}{h}.$ The values of $KS$ and $m$ are $10\mathrm{.}5m\frac{g}{L}$ and $0\mathrm{.}45h-1,$ respectively, and the yield coefficient may be taken to be $0\mathrm{.}48.$