The following ordinary differential equation describes the dynamic behavior of the system following a sudden opening of the valve and the gas discharging through the resistance. RV d(p-Pa) 0 +(p - Pa) RET dt (Note: Both p and pa must be absolute pressures. Thus, (p - Pa) is the gage pressure in the tank.) Take the Laplace Transform of the differential equation given above and form an expression for P(s), the Laplace Transform of (p - Pa). Note: The initial condition of (p - Pa) at time t = 0 is Po. In the laboratory we will measure the initial value in the tank po with a "pressure gage" P(S) =
