A stream containing $10m\frac{g}{g}al$ of a radioactive fission product with a decay rate of $0\mathrm{.}01hr-1**Mf($where Mf is mass of fission product$),$ is run into a holding tank at the rate of $100ga\frac{l}{h}r$ for $24hr.$ An exit stream leaves the tank at $100ga\frac{l}{h}r.$ Then both streams are shut off for $24hr.$ The initial concentration of the fission product was $2m\frac{g}{g}al$ and the initial volume in the tank is $10,000$ gallons. Assume complete mixing in the tank and that the fission product does not affect the density of the solution. What is the concentration of fission product after $24$ hours?