Calculate the mass velocity of air in kg$/($m$2$s$)$ that can be transported by a horizontal Schedule $40$ steel pipe of $(1)/(2)\text{'}\text{'}$ and $300$ m long. The air flows at $40\backslash$deg C through the tube. The pressure decreases from $50$ to $5$ psig. Suppose that the conditions are for adiabatic flow of air. Also, take into account that the conditions of a problem should not be in contradiction with the impossibility of breaking the sound barrier; therefore the mechanical energy equation must hold when point b is equal to the asterisk conditions, and occurs at a maximum conduction lenght Lmax. If the mass velocity is $60$ kg$/($m$2$s$),$ calculate Lmax, T$*,*,$ and P$*.$ Assume a value of $=1\mathrm{.}40.$