$($c$)$ Transducer: The output of the transducer varies linearly from $3$ to $15$ psig as the concentration varies from $0\mathrm{.}05$ to $0\mathrm{.}15l\frac{b}{f}{t}^3.$

$($d$)$ Controller: The controller is a pneumatic, direct$-$acting, proportional controller.

$($e$)$ Control valve: As valve$-$top pressure varies from $3$ to $15g,$ the flow through the control valve varies linearly from $0$ to $0\mathrm{.}005cfm.$

$(f)$ It takes $30s$ for the solution leaving the second tank to reach the transducer at the end of the pipe.

Draw a block diagram of the control system. Place in each block the appropriate transfer function. Calculate all the constants and give the units.