A large tank initially is evacuated to \(-10 \mathrm{kPa}\) gage. Ambient conditions are \(101 \mathrm{kPa}\) at \(20^{\circ} \mathrm{C}\). At \(t=0\), an orifice of \(5 \mathrm{~mm}\) diameter is opened in the tank wall; the vena contracta area is 65 percent of the geometric area. Calculate the mass flow rate at which air initially enters the tank. Show the process on a Ts diagram. Make a schematic plot of mass flow rate as a function of time. Explain why the plot is nonlinear.