Question A$\mathrm{.}3$: Hydrogen is pumped through a $2$ m inner diameter pipeline from Edmonton

to Calgary $(300$ km $).$ The gas leaves the first booster station at a mass flow rate of $74\mathrm{.}3$

$k\frac{g}{s}$ and static conditions of $-30C$ and $1$ MPa $.$ Determine the maximum distance

berween booster stations. Given that each station has a compressor and cooler to

maintain the same outlet conditions as the first booster station and that the total$-$to$-$total

efficiency of the compressor is $0\mathrm{.}85,$ determine the power consumption for each

compressor and the heat rejected by each cooler. At what static pressure and temperarure

is the hydrogen delivered?

The friction factor for the pipeline is given as $0\mathrm{.}03$ and the system may be considered

well insulated. For hydrogen use: $y=1\mathrm{.}4,R=4\mathrm{.}124k\frac{J}{k}g-K,Cp-14\mathrm{.}35k\frac{J}{k}g-K.$