Dry air at a constant temperature of 25°C passes through a valve out of a rigid cubic container of 1.5 m on each side (Figure 7.42). The pressure po at the outlet of the valve is constant, and it is less than p. The valve resistance is approximately linear, and

= 1000 Pa・s/kg. Assume that the process is isothermal.

a. Develop a mathematical model of the pressure in the container.

b. Construct a Simulink block diagram to find the output p(t) of the pneumatic system if the pressure inside the container is initially 2 atm and the pressure at the outlet is 1 atm.