Design a centrifugal pump and control valve system so that a maximum flow rate of $75$ gpm and a minimum flow rate of $25$ gpm are achievable with the control valve at $100\%$ and $10\%$ open respectively. Liquid is pumped from a tank whose pressure can vary from $50$ to $75$ psia. The material is pumped through a heat exchanger $($which takes $30$ psi pressure drop at $50$ gpm$)$ and a control valve into a tank whose pressure can vary from $250$ to $300$ psia. Assume a flat pump curve. Design a centrifugal pump and control valve system so that a maximum flow rate of $75$ gpm and

a minimum flow rate of $25$ gpm ae achievable with the control valve at $100\%$ and $10\%$ open respectively. Liquid is pumped from a tank whose pressure can vary from $50$ to $75$ psia. The material is pumped through a heat exchanger $($which takes $30$ psi pressure drop at $50$ gpm $)$ and a control valve into a tank whose pressure can vary from $250$ to $300$ psia. Assume a flat pump curve.