Water at $T=21C$ flows through the pipe system shown below at $7\frac{L}{s}.$ What are the head losses between points $1$&$2$ and $1$&$3$ if the follow readings are

taken from the pressure gauges $($in gauge pressure$).$

$p_1=12\mathrm{.}5$kPa

$p_2=11\mathrm{.}5$kPa

$p3=10\mathrm{.}3$kPa

The dimensions of the system are as follows:

$Da=50mm,Db=50mm,Dc=30mm$

$Z=15m$

a$)$ Please enter the head loss between points $1$ and $2($to $3$ sig figs$).$

b$)$ Please enter the head loss between points $1$ and $3($to $3$ sig figs$).$