$4-32$M$.$ For the system in Exercise $4-31,$ the following new data are applicable:

$p_1=7$ bars, $Q=0\mathrm{.}002\frac{m^3}{s}$

pipe: $L($ total $)=15m$ and $ID=38mm$

oil: $SG=0\mathrm{.}90$ and

$u=0\mathrm{.}0001\frac{m^2}{s}$

Solve for $p_2$ in units of bars.