Consider two tanks T $1$ and T $2$ with T $1$ containing $200$ gallons of water in which $50$ pounds of salt is dissolved and T $2$ containing $100$ gallons of water in which $100$ Ib of salt is dissolved. Pure water flows from the outside into T $1$ at a rate of $4$ gal$/$min and salt solution is circulated at rates of $4$ gal$/$min from T $1$ to T $2$ and $2$ gal$/$min from T $2$ to T $1.$ If the contents of the two tanks are well$-$mixed and $2$ gal$/$min are also withdrawn from each of the two tanks T $1$ and T $2$ to the outside to ensure

no liquid volume change in the two tanks or the system, draw the process flowchart and using the Laplace transform method to find the fundamental design equations you will need to find the salt contents in the tanks at any time t and when the salt contents in the two tanks would be equal.