A hand operated fire extinguisher is activated by pushing on the rigid handle with force F, causing the massless piston having cross-sectional area A, to push the fluid which is under pressure p2, out of the tank. The fluid passes through the tank outlet, through the tube, out of the nozzle and discharges to the atmosphere. The tank outlet and nozzle have resistances: there is no leakage around the piston. The fire extinguisher fluid is replenished by a hose (not shown) with a volumetric flow rate Q. Assume that the fluid has capacitance in the tank and inertance only in the tube. The tank is considered to be rigid and the fluid is incompressible. 

• a) Draw the system graph
•  b) Find the elemental equations 
• c) Find the node or vertex equations 
• d) Find the compatibility or loop equations
•  e) Define ALL the state variables and sources f Derive the state variable equations for all state variables.