Question: At time (t=0) the valve on an initially empty (perfect vacuum, (ho=0)) tank is opened and air rushes in. If the tank has a volume

At time $t=0$ the valve on an initially empty (perfect vacuum, $ho=0)$ tank is opened and air rushes in. If the tank has a volume of $\forall_{0}$ and the density of air within the tank increases as $ho=ho_{\infty}\left(1-e^{-b t}\right)$, where $b$ is a constant, determine the time rate of change of mass within the tank.

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