Carbon Dioxide $($Mw$=44)$ is to be pumped along a $6$ inch I.D$.$ steel pipe for a distance of $8$ km at a steady mass flow rate of $1\mathrm{.}5$ kg$/$s$.$ The delivery pressure at the end of the pipe is to be $2$ atm absolute$,$ and the flow may be considered isothermal, at $15$ degrees Celsius. Assume ideal gas behavior, and justify any further assumptions. The speed of sound in carbon dioxide at this temperature is around $260$ m$/$s$.$

A$)$ Evaluate the gas velocity at the delivery conditions and the Mach number

B$)$ Evaluate the Reynolds number and the friction factor from the chart with the roughness of steel pipe e $=1\mathrm{.}5*10^-4$ ft$.$

C$)$ Thus estimate the inlet or supply pressure required.