For the liquid-level control system in Figure determine the numerical values of K c and 1

For the liquid-level control system in Figure determine the numerical values of K_c and τ₁; that result in a stable closed—loop system. The level transmitter has negligible dynamics, while the control valve has a time constant of 10s. The following numerical values are available:

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A = 3 ft? q3 = 10 gal/min K, = -1.3 gal/min/mA Km (for control valve) 4 mA/ft (for level transmitter)