How could you determine the air pressure that is needed to open and close the valve

is it possible to know the air pressure to open and close the valve

It is depended on FA, the force required, and the area of the actuator. You need to calculate all forces. P = FA. The area of the actuator is selected, then u need to find the total force needed. Force of spring, the force of friction, the force of flow, the force of area of the orifice