Problem $4(79$ pts$)$: Your hospital wants to eliminate the safety hazard of having compressed oxygen gas cylinders located in the surgical suites. You have been asked to determine the longest length of pipe that could be used between the oxygen generator and the surgical suite. Each surgical suite would have a dedicated line off the main feed. Drawn tubing will be used with an inner diameter of $5\mathrm{.}0mm$ that has a smooth inner surface. All surgical suites require a delivery flow rate of $73\mathrm{.}0\frac{L}{m}in$ STP with an outlet pressure of $225$ kPa absolute$.$ The inlet pressure to each dedicated line would be $650kP\frac{a}{a}bs$ oluteand the building temperature is a constant $19C.$ State any assumptions. Oxygen's specific heat capacity ratio, $,$ is $1\mathrm{.}4.$

How long can the pipe be for this flowrate and pipe diameter? Hint: First, figure out if this is an isothermal or adiabatic case $($refer to class notes to see how you can distinguish between the two$).$